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Multiplication Word Problem Worksheets

This page hosts a vast collection of multiplication word problems for 3rd grade, 4th grade, and 5th grade kids, based on real-life scenarios, practical applications, interesting facts, and vibrant themes. Featured here are various word problems ranging from basic single-digit multiplication to two-digit and three-digit multiplication. Another set of printable worksheets hone children's multiplication skill by multiplying large numbers. Free worksheets are included.

Single-digit Multiplication Word Problems

The printable PDF worksheets presented here involve single-digit multiplication word problems. Each worksheet carries five word problems based on day-to-day scenarios.

• Download the set

Multiplication Word Problems: Two-digit times Single-digit

The word problems featured here require a grade 3 learner to find the product by multiplying a two-digit number by a single-digit multiplier.

Multiplication Word Problems: Two-digit times Two-digit

The worksheets presented here involve multiplication of two-digit numbers. Read the word problems and find the product. Apply long multiplication (also known as column multiplication) method for easy calculation.

Theme Based Word Problems

Our engaging theme-based pdf worksheets help young minds understand the fundamentals of multiplication. Answer the word problems based on three fascinating themes - Winter Season, Ice rink and Library.

Multiplication Word Problems: Three-digit times Two-digit

Read the word problems featured in these printable worksheets for grade 4 and find the product of three-digit and two-digit numbers. Write down your answers and use the answer key below to check if they are right.

Three-digit Multiplication Word Problems

Solve these well-researched word problems that involve three-digit multiplication. Perform multiplication operation and carry over numbers carefully to find the product.

Multiplication: Three or Four-digit times Single-digit

The word problems featured here are based on practical applications and fact-based situations. Multiply a three or four-digit number by a single-digit multiplier to find the correct product.

Multi-digit Word Problems: Multiplying Large Numbers

Sharpen your skills by solving these engaging multi-digit word problems for grade 5. Apply long multiplication method to solve the problems. Use the answer key to check your answers.

Related Worksheets

» Addition Word Problems

» Subtraction Word Problems

» Division Word Problems

» Word Problems

» Multiplication

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Multiplication Tables Online practice

On this page, you can practice any combination of the multiplication tables — very helpful for students in elementary and middle school. You can practice any single times table (such as multiplication by 9), or several tables (such as tables of 2 and 5), or all of them.

You can choose timed or untimed practice, the number of practice problems, and which exact times tables you'd like to work on.

• Multiplication Matching Game
• Math Mammoth Multiplication 1 — a self-teaching worktext helping you learn all the multiplication tables
• Learn and Master the Times Tables! — an interactive course at TinyTap, based on my book Multiplication 1 .
• Mathy's Berry Picking Game
• Structured drill videos for the multiplication tables

Math Mammoth Multiplication 1

A self-teaching worktext that covers the concept of multiplication from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.

Available both as a download and as a printed copy .

PDF download USD $5.60

→ Learn more and see the free samples!

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Beastly lesson.

If you have a minute, check out this short & lighthearted video about our PETS. (It's kind of silly, yet has an important message for all of us kids and parents.)

Sincerely, Maria

P.S. It does briefly mention God in one spot.

Multiplication Worksheets

Mixed tables worksheets.

Individual Table Worksheets

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Multiplication

Here you will learn about multiplication, including multiplying multi-digit whole numbers, properties of multiplication, multiplying decimals, multiplying fractions, and multiplying integers.

Students will first learn about multiplication as part of operations and algebraic thinking in third grade.

What is multiplication?

Multiplication is a mathematical operation that involves combining groups of numbers together to find their total. For example, "3 \times 4" means 3 groups of 4, which equals 12. The numbers that are multiplied together are called factors and the answer is called the product .

When you write a multiplication equation, the first factor is called the multiplicand and the second factor is called the multiplier .

Multiplication can be thought of as a shortcut for repeated addition. Instead of adding a number to itself a certain number of times, we can use multiplication to find the total. For example, "3 \times 4" is the same as saying "4 + 4 + 4", which equals 12.

Look at the equal groups of triangles below.

There are 8 groups of triangles with 4 triangles in each group.

Instead of counting the number of triangles or adding 4 to itself 8 times, we can multiply to find the total more quickly.

8 groups of 4 = \; ?

There are 32 triangles altogether.

Properties of multiplication

The properties of multiplication are rules that always apply when multiplying numbers.

The 5 properties of multiplication are:

Commutative property of multiplication: This property says that the order of the factors in a multiplication equation does not change the product.

For any two numbers, a \times b=b \times a

Associative property of multiplication: This property says that the grouping of factors does not affect the product. In other words, when multiplying three or more numbers, you can regroup them in any way, and the result will remain the same.

For any three numbers, (a \times b) \times c=a \times(b \times c)

Distributive property of multiplication: This property says that when you multiply a number by a sum (or difference) of two numbers, you can distribute the multiplication across the terms inside the parentheses.

For any three numbers, a \times(b+c)=(a \times b)+(a \times c) \, or \, a \times(b-c)=(a \times b)-(a \times c)

Identity property of multiplication: This property says that any number multiplied by 1 equals the original number. For any number, a \times 1=a

Zero property of multiplication: This property says that any number multiplied by 0 equals 0. For any number, a \times 0=0

Multiplying multi-digit whole numbers

To multiply multi-digit whole numbers, you can use the area model or the standard algorithm, which is taught in 5 th grade.

Multiplying decimals

Decimals can also be multiplied using the area model and the standard algorithm.

Example: 3.75 \times 9.8

Multiplying fractions

To multiply fractions, multiply the numerators together and the denominators together.

Example: \cfrac{4}{5} \times \cfrac{1}{3}=\cfrac{4}{15}

To multiply mixed numbers, convert to an improper fraction first, then multiply the numerators and denominators together. Then simplify your answer.

\begin{aligned} & 1 \cfrac{2}{3} \times 2 \cfrac{1}{4} \\\\ & \; \downarrow \quad \, \downarrow \\\\ & \; \cfrac{5}{3} \times \cfrac{9}{4}=\frac{45}{12} \end{aligned}

\cfrac{45}{12} simplifies to \cfrac{15}{4} , then finally to 3 \cfrac{3}{4} .

So 1 \cfrac{2}{3} \times 2 \cfrac{1}{4}=3 \cfrac{3}{4} .

Multiplying integers

Positive integer \times negative integer

• Multiplying a positive integer by a negative integer will always result in a negative integer
• Example: 5 \times(-3)=-15

Positive integer \times positive integer

• Multiplying a positive integer by a positive integer will always result in a positive integer
• Example: 5 \times 3=15

Negative integer \times negative integer

• Multiplying a negative integer by a negative integer will always result in a negative integer
• Example: (-5) \times(-3)=15

Common Core State Standards

How does this relate to 3 rd grade math through 7 th grade math?

• Grade 3 – Operations and Algebraic Thinking (3.OA.A.1) Interpret products of whole numbers, e.g., interpret 5 \times 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 \times 7.
• Grade 3 – Operations and Algebraic Thinking (3.OA.A.3) Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• Grade 3 – Operations and Algebraic Thinking (3.OA.B.5) Apply properties of operations as strategies to multiply and divide. Examples: If 6 \times 4 = 24 is known, then 4 \times 6 = 24 is also known. (Commutative property of multiplication.) 3 \times 5 \times 2 can be found by 3 \times 5 = 15, then 15 \times 2 = 30, or by 5 \times 2 = 10, then 3 \times 10 = 30. (Associative property of multiplication.) Knowing that 8 \times 5 = 40 and 8 \times 2 = 16, one can find 8 \times 7 as 8 \times (5 + 2) = (8 \times 5) + (8 \times 2) = 40 + 16 = 56. (Distributive property.)
• Grade 3 – Operations and Algebraic Thinking (3.OA.C.7) Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division ( e.g., knowing that 8 \times 5 = 40, one knows 40 \div 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
• Grade 3 – Number and Operations in Base Ten (3.NBT.A.1) Multiply one-digit whole numbers by multiples of 10 in the range 10–90 ( e.g., 9 \times 80, 5 \times 60) using strategies based on place value and properties of operations.
• Grade 4 – Operations and Algebraic Thinking (4.OA.A.1) Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 \times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
• Grade 4 – Operations and Algebraic Thinking (4.OA.A.2) Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
• Grade 4 – Number and Operations in Base Ten (4.NBT.B.5) Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
• Grade 4 – Number and Operations—Fractions (4.NF.B.4) Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
• Grade 5 – Number and Operations in Base Ten (5.NBT.B.5) Fluently multiply multi-digit whole numbers using the standard algorithm.
• Grade 5 – Number and Operations in Base Ten (5.NBT.B.7) Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
• Grade 5 – Number and Operations—Fractions (5.NF.B.4) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
• Grade 5 – Number and Operations—Fractions (5.NF.B.6) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
• Grade 6 – The Number System (6.NS.B.3) Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
• Grade 7 – The Number System (7.NS.A.2) Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

[FREE] Multiplication and Division Worksheet (Grade 4, 5 and 7)

Use this quiz to check your grade 4, 5 and 7 students’ understanding of multiplication and division. 10+ questions with answers covering a range of 4th, 5th and 7th grade multiplication and division topics to identify areas of strength and support!

How to multiply

In order to use multiplication to find the total number of objects in equal groups:

• Count the number of groups.
• Count the number of objects in each group.
• Multiply the two numbers.

In order to use multiply multi-digit whole numbers and decimals:

Write the multiplication equation.

Choose a strategy to solve.

Solve the equation.

In order to use multiply fractions:

If either fraction is a mixed number, convert it to an improper fraction.

Multiply the numerators.

Multiply the denominators.

Simplify if possible.

In order to use multiply integers:

Multiply the two numbers and look at their signs. If the integers have the same sign, the product is positive. If not, go to step \bf{2}.

If the integers have different signs, the product is negative.

Write the correct sign on the product.

Multiplication examples

Example 1: equal groups.

Find the total number of circles.

There are 4 groups.

2 Count the number of objects in each group.

There are 7 circles in each group.

3 Multiply the two numbers.

There are a total of 28 circles.

Example 2: area model (whole numbers)

Solve 25 \times 19.

You can use the area model to solve. To set it up, draw a rectangle and split it into 2 rows and 2 columns since you need to multiply two 2- digit numbers. 

Then decompose each number into tens and ones as shown below.

After multiplying each part, add up the partial products:

200 + 50 + 180 + 45 = 475

Example 3: standard algorithm (whole numbers)

Solve 3,198 \times 14.

Write the multiplication equation. 

Larger numbers are typically multiplied using the standard algorithm.

To set it up, stack the numbers with the larger number on top and, since they are whole numbers, you can align the place values.

Then begin the process by multiplying one part at a time.

Example 4: area model (decimals)

Solve 8.5 \times 0.32

The area model (similar to the area model used above for whole numbers) can be used to break apart each number and multiply it in parts.

To set it up, draw a rectangle and split it into 1 row and 3 columns since you need to multiply a 1- digit number by a 3- digit number.

Then decompose each number into its place values, as shown below.

54 + 3.6 + 0.72 = 58.32

Example 5: standard algorithm (decimals)

Solve 85 \times 2.97 = \; ?

You can use the standard algorithm to solve. Stack the numbers the same way you would if they were whole numbers, but this time the number with the most digits (not necessarily the larger number) will go on top.

You will not align place values or the decimal point.

Then you can begin the multiplication process.

Count the number of decimal places in the factors. Since there are 2 altogether, there will be 2 decimal places in the product.

Example 6: fractions

Solve \cfrac{5}{8} \times \cfrac{3}{4}=

Neither of the fractions is a mixed number.

\cfrac{15}{32} is in simplest form.

Example 7: mixed numbers

Solve 2 \cfrac{1}{6} \times \cfrac{2}{3}=

So the new equation is \cfrac{13}{6} \times \cfrac{2}{3}=

\cfrac{26}{18} can be simplified to \cfrac{13}{9} and then further simplified to 1 \cfrac{4}{9}.

Example 8: integers

Solve -8 \times 7 .

Recalling your multiplication facts, you should know that 8 \times 7=56.

In the equation -8 \times 7, the numbers have different signs. –8 is a negative number and 7 is a positive number.

In the equation -8 \times 7, the numbers have different signs.

The product is –56.

Teaching tips for multiplication

• Practice multiplication tables regularly. Encourage learners to memorize multiplication facts through drills and multiplication games and not just on worksheets. Flashcards and interactive apps can also be helpful tools.
• Incorporate visual aids such as arrays, diagrams, number lines, or manipulatives like counting blocks or beads to help students visualize basic multiplication as combining equal groups.
• Integrate math games and puzzles into your lessons to make learning multiplication more fun and engaging.
• Allow students to build a foundational understanding of basic multiplication before introducing strategies to use for multi-digit multiplication.

Easy mistakes to make

• Memorizing without understanding Students can have their multiplication facts memorized, but without the foundational understanding of multiplication, these are meaningless.
• Errors in carrying or regrouping When using the standard algorithm for multiplication, students may make mistakes in carrying over or regrouping digits, especially with larger numbers.
• Forgetting the properties of multiplication Each property can assist students when solving multiplication equations. If students forget these, it can lead to mistakes in calculations or unnecessary extra steps.

Related multiplication and division lessons

• Multiplication and division
• Multiplicative comparison
• Multiplying multi-digit numbers
• Dividing multi-digit numbers
• Long division
• Negative numbers
• Negative times negative
• Multiplying and dividing integers
• Multiplying and dividing rational numbers

Practice multiplication questions

1. Which multiplication equation represents the total number of stars?

There are 9 groups with 5 starts in each group. This can be written as 9 \times 5 which equals 45.

2. Solve 652 \times 31 using any strategy.

Students can multiply multi-digit whole numbers using any strategy, such as an area model or the standard algorithm.

Here is an example of this equation being solved via the standard algorithm:

3. Solve 91.2 \times 0.7 using any strategy.

Students can multiply decimals using any strategy, such as an area model or the standard algorithm.

Here is an example of this equation being solved via the area model:

4. Solve \cfrac{9}{10} \times \cfrac{3}{5} and simplify your answer.

To solve, simply multiply the two numerators, then multiply the two denominators.

Since 27 and 50 have no common factors, this fraction is in its simplest form.

5. Solve 5 \cfrac{2}{7} \times 3 \cfrac{1}{2} and simplify your answer.

To multiply mixed numbers, first the mixed numbers need to be converted to improper fractions. Then you can multiply the numerators and multiply the denominators before simplifying your answer.

\cfrac{259}{14} simplifies to \cfrac{37}{2} then again to 18 \cfrac{1}{2}.

6. (-6) \times(-7) = \; ?

The product of 2 negative numbers is always positive.

So (–6) × (–7) = 42

Multiplication FAQs

Multiplication is one of the four basic arithmetic operations. It involves combining or adding a number multiple times.

Times tables are a set of numbers arranged in a grid or chart that shows the results of multiplying numbers from 1 to 10 (or more) together. They help us quickly find the answers to multiplication problems.

The standard algorithm for multiplication is a step-by-step process used to multiply multi-digit numbers. It involves breaking down the multiplication problem into smaller, easier-to-solve parts and then combining the results (the partial products) to find the final answer.

The next lessons are

• Types of numbers
• Rounding numbers
• Factors and multiples

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Multiplication

In math, multiplication is the method of finding the product of two or more numbers. It is a primary arithmetic operation that is used quite often in real life. Multiplication is used when we need to combine groups of equal sizes. Let us learn more about multiplication in this page.

What is Multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number .

Example: If there are 6 boxes of cupcakes and each box has 9 cupcakes, find the total number of cupcakes.

Solution: We can solve this question by addition but it would take longer to add these to get the answer. That is, 9 + 9 + 9 + 9 + 9 + 9 = 54 cupcakes. In other words, when we have larger numbers to work upon, then multiplication is useful.

Now, let us use multiplication to solve this problem. We will multiply the number of boxes with the number of cupcakes in each box. If we multiply 6 × 9, we will get the total number of cupcakes, which is 6 × 9 = 54 cupcakes. Thus, we can see that we get the same result in a shorter period of time. This is the reason why multiplication is also termed as repeated addition.

Multiplication Symbol (×)

In mathematics, we have different symbols. The multiplication symbol is one of the commonly used math symbols . In the example given above, we learnt about the multiplication of two numbers 6 and 9. If we observe the expression of multiplication (6 × 9 = 54), we can see that the symbol (× ) connects the two numbers and completes the given expression. Apart from the cross symbol (×), multiplication is also denoted by the mid-line dot operator (⋅) , and by the asterisk sign ( *).

Multiplication Formula

The multiplication formula is expressed as, Multiplicand × Multiplier = Product ; where:

• Multiplicand: The first number (factor).
• Multiplier: The second number (factor).
• Product: The final result after multiplying the multiplicand and multiplier.
• Multiplication symbol: '×' (which connects the entire expression)

Let us understand the multiplication formula with the help of the following expression.

7(multiplicand) × 5 (multiplier) = 35 (product)

Using this basic concept of multiplication let us learn how to solve multiplication problems.

How to Solve Multiplication Problems?

While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables , but for larger numbers, we split the numbers into columns using their respective place values , like ones, tens, hundreds, thousands, and so on. There are two types of multiplication problems:

• Multiplication without regrouping
• Multiplication with regrouping

Let us understand the two cases with the help of examples.

Multiplication Without Regrouping

Multiplication of two numbers without regrouping involves smaller numbers where there is no need to take a carry-over to the next higher place value. It is the basic level that could help a learner understand the basics of multiplication before moving on to the higher level of problems including regrouping. Let us understand this with the help of the example given below.

Example: Multiply 3014 by 2.

• Step 1: Start with the digit in ones place. (2 × 4 = 8)
• Step 2: Multiply 2 with the digit in tens place. (2 × 1 = 2)
• Step 3: Now, multiply 2 with the digit in hundreds place. (2 × 0 = 0)
• Step 4: Now multiply 2 with the digit in thousands place. (2 × 3 = 6)
• Step 5: 3014 × 2 = 6028.

Th H T O 3 0 1 4 × 2 6 0 2 8

Multiplication With Regrouping

Multiplication of more than two numbers with regrouping involves numbers with a 2-digit product. In this type of multiplication, we need to take a carry-over to the next higher place value. Let us understand this with the help of the example given below.

Example: Multiply 2468 with 8

Solution: Let us multiply 2468 × 8 using the steps given below and try to relate them with the figure given after the steps.

• Step 1: Start with the digit in ones place, that is, 8 × 8 = 64 ones which means 6 tens 4 ones. Now, carry 6 tens to the tens column.
• Step 2: Multiply 8 with the digit in the tens place, that is, 8 × 6 = 48 tens. Now, we will add this to the carry-over. This means, 48 + 6 (carry-over from step 1) = 54. Carry 5 to the hundreds column.
• Step 3: Multiply 8 with the digit in the hundreds place, that is, 8 × 4 = 32 hundreds. Now, let us add this to the carry-over from the previous step. This means, 32 + 5 (carry-over from step 2) = 37. We will again carry 3 to thousands column.
• Step 4: Multiply 8 with the digit in the thousands place, that is, 8 × 2 = 16 thousands. So, let us again add this to the carry-over, that is, 16 + 3 (carry-over from step 3) = 19
• Step 5: Therefore, the product of 2468 × 8 = 19744.

Multiplication Using Number Line

Multiplication on a number line means to apply the multiplication operation on a given set of numbers through a number line. A number line is a visual representation of numbers on a straight line. We know that multiplication is also known as repeated addition. So, to perform multiplication on a number line , we start from zero and move towards the right side of the number line for the given number of times.

Example: Multiply 3 × 5 using a number line.

Solution: Observe the following number line to see the working of 3 × 5 = 15. We will start from 0 and move towards the right of the number line We will form 3 groups of 5 equal intervals. This will take us to 15.

The above number line shows 3 times 5 is 15. The representation can also be written as 5 + 5 + 5 = 15. The multiplication statement is expressed as, 3 × 5 = 15.

Multiplication Word Problems

Multiplication word problems can be easily solved by carefully observing the situation and identifying the solution. Let us understand the theory behind the real-life multiplication word problems with the help of an interesting example.

Example: A box contains 245 fruits. Find the number of fruits in 4 such boxes using the multiplication formula.

Solution: To solve such multiplication word problems the easiest way is to note down the given parameters and then solve. Given: The total number of fruits in one box = 245 The number of boxes = 4 Total number of fruits in 4 such boxes = 245 × 4.

Step 1: Start with the digit in ones place. Multiply 4 × 5 = 20. Now carry 2 to the tens column. Step 2: Multiply 4 with the digit in tens place, that is, 4 × 4 = 16. Now, add this to the carry-over from the previous step. 16 + 2 (carry-over from step 1) = 18. From this, carry 1 to the hundreds column. Step 3: Multiply 4 with the digit in hundreds place, 4 × 2 = 8 hundreds. 8 + 1 (carry-over from step 2) = 9. Step 4: Therefore, the product of 245 × 4 = 980.

H T O 1 2 2 4 5 × 4 9 8 0

Therefore, the total number of fruits in 4 such boxes = 245 × 4 = 980.

Tips and Tricks on Multiplication:

Here is a list of a few tips and tricks that can be used while performing multiplication.

• In multiplication, the order of numbers does not matter. So choose the order that you are more comfortable with. When using the multiplication tables, compared to 9 × 4, students may remember 4 × 9 more easily.
• When multiplying three numbers, choose the two numbers that can be multiplied easily. For example, multiplying 5 × 17 × 2 will be difficult if we try to multiply 5 × 17 first. Instead of this, multiplying 5 and 2 gives 10 which can be easily multiplied by 17 to get 170.
• When multiplying a 2-digit number with a one-digit number, it sometimes helps to break the two-digit number as per the place values. Then multiply each part and add. For example, 37 × 4 can be solved mentally by breaking 37 as 30 + 7. Then 30 × 4 = 120 and 7 × 4 = 28. So, the final answer is 120 + 28 = 148. While this may seem more tedious when written down, it is much easier to solve mentally.
• Even if you do not remember the multiplication fact, it can be easily mentally figured out. For example, 17 × 9 is difficult to remember. But this can be restructured mentally as 17 × (10 - 1). So, the answer will be 170 - 17 = 153.

☛ Related Articles

• Long Multiplication
• Multiplication Calculator
• Multiplication Tables
• Multiplication Word Problems Worksheets
• Long Multiplication Worksheets
• Multiplication Worksheets

Multiplication Examples

Example 1: Use multiplication tricks to solve the following multiplication word problem. The price of a book is $48. Find the price of 500 such books.

Solution: Price of one book = $48 Price of 500 books = 500 × 48

H T O 5 0 0 × 4 8 4 0 0 0 +2 0 0 0 x 2 4 0 0 0 _

The price of such 500 books is $24000.

The other way to solve this question is to simply multiply 48 by 5 and attach two zeros with the final answer. So, by multiplying 48 × 5, we get 240. But the given value is 500, so our final product will be $24000.

Example 2: Solve the following multiplication word problem. What is 784 times 44?

Using the multiplication formula, 784 times 44 = 784 × 44

Therefore, 784 times 44 is 34496.

Example 3: State true or false for the following statements using the multiplication facts.

a.) Multiplication represents the basic idea of repeated subtraction.

b.) The multiplication formula is expressed as: Multiplicand × Multiplier = Product

a.) False, multiplication represents the basic idea of repeated addition of the same number.

b.) True, the multiplication formula is expressed as: Multiplicand × Multiplier = Product

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Practice Questions on Multiplication

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FAQs on Multiplication

What does multiplication mean.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number . It is used when we need to combine groups of equal sizes. For example, if 5 baskets contain 4 apples each, then to find the total number of apples we can use multiplication and solve it as 5 × 4 = 20 apples.

Which Formula is Used to Perform Multiplication?

The formula that we use to perform multiplication is 'Multiplicand × Multiplier = Product'. For example, 9 (multiplicand) × 5 (multiplier) = 45 (product)

What are the Properties of Multiplication?

The different properties of multiplication are given below.

• Commutative property of multiplication : The product of two numbers does not change if we change the order of the numbers. This property of multiplication is known as the commutative property of multiplication which is represented as A × B = B × A. For example, 12 × 13 = 13 × 12 = 156.
• Associative property of multiplication : The product of three or more numbers does not change when we change the grouping of the numbers. This property of multiplication is known as the associative property of multiplication which is represented as A × (B × C) = (A × B) × C = B × (A × C). For example, 12 × (13 × 5) = (12 × 13) × 5 = 13 × (12 × 5) = 780.
• Identity property of multiplication : If any number is multiplied by 1, the product is the number itself. For example, 12 × 1 = 12. Here, 1 is the identity element of multiplication.
• Zero property of multiplication : If any number is multiplied by 0, the product is always zero. This is the zero property of multiplication . For example, 12 × 0 = 0.
• Distributive property of multiplication : As per the distributive property of multiplication , when we multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number. This property is also applicable to subtraction and is represented as A × (B + C) = AB + AC, or A × (B - C) = AB - AC. For example, 12 × (13 + 5) = (12 × 13) + (12 × 5) = 216.

What is the Multiplication Symbol?

While performing multiplication, we use a cross (×) symbol which connects the entire expression, this (×) symbol is known as the multiplication symbol. For example, 7 times 4 is 28 can be represented as 7 × 4 = 28.

What are the Parts of Multiplication?

The different parts of multiplication are expressed as follows. Let us understand this with an example: 6 × 4 = 24.

• Multiplicand (Factor): Multiplicand is the first number. In this case, 6 is the multiplicand.
• Multiplier (Factor): Multiplier is the second number. In this case, 4 is the multiplier.
• Product: The final result after multiplying the multiplicand and multiplier. In this example, 24 is the product.

Give an Example of a Multiplication Sentence.

In order to solve a multiplication problem, we need to write it in the form of a multiplication sentence. For example, what is 36 times 9? We know that 36 times 9 is written in the form of a multiplication sentence as 36 × 9 = 324. Here, 36 and 9 are the factors and 324 is the product. So, 36 times 9 is 324.

How is Multiplication Related to Addition?

Multiplication represents the basic idea of repeated addition of the same number. It simplifies the task of repeated addition. For example, if there are 3 packs of pencils and each pack has 6 pencils, let us find the total number of pencils. We can solve this question by addition, that is, 6 + 6 + 6 = 18 pencils. However, when we have larger numbers to deal with, then multiplication is useful. Now, if we use multiplication to solve this problem, we need to multiply the number of packs with the number of pencils in each pack. This means, 3 × 6 = 18 pencils. Thus, we get the same result easily. Hence, multiplication is also termed as repeated addition.

What is the Difference Between Multiplication and Division?

In multiplication, we combine groups of equal sizes, while in division, we split or separate the given number into equal groups. Multiplication is the product of two or more numbers where the numbers that are multiplied are the factors and the result is termed as the product. In division , the number that is divided is called the dividend, the number which divides the dividend is called the divisor and the result is the quotient.

How is Multiplication Used in Everyday Life?

Multiplication is commonly used in our everyday lives. For example, we can calculate the price of the items according to the rate per quantity, we can find the correct quantity of the ingredient to be used in cooking, we can calculate the value of multiple items when the value of 1 item is known, and so on.

What are the Multiplication Strategies?

Multiplication strategies are different ways in which multiplication can be learned. For example, multiplication using a number line, multiplication with the help of a place value chart, separating the Tens and Ones and then multiplying them separately, and so on. These strategies help learners to understand the multiplication concept with a broader perspective.

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Multiplication – Definition, Examples, Practice Problems, FAQs

Updated on January 12, 2024

Welcome to Brighterly , the go-to destination for all things math for children! In this article, we delve into the fascinating world of multiplication. Whether you’re just starting your mathematical journey or looking to strengthen your multiplication skills, this comprehensive guide will provide you with a solid foundation in multiplication, along with helpful tips, examples, and practice problems.

At Brighterly, we understand that multiplication plays a crucial role in mathematical proficiency. It’s not just about memorizing multiplication tables; it’s about grasping the concepts, applying properties, and developing problem-solving skills. With our engaging approach and creative learning techniques, we make multiplication an exciting adventure for young learners.

Multiplication Definition in Math

In mathematics, multiplication is the process of adding a number to itself a certain number of times. It is represented by the multiplication symbol (*), which is also known as the “times” symbol. For example, multiplying 3 by 4 can be expressed as 3 * 4, and the result is 12.

Multiplication Symbol

The multiplication symbol (*), often referred to as the “times” symbol, is used to indicate multiplication in mathematical expressions. It signifies the operation of combining groups of numbers or quantities. The symbol helps distinguish multiplication from addition, subtraction, and division.

Multiplication Formula

The formula for multiplication is straightforward. To multiply two numbers, simply multiply the first number (called the multiplicand) by the second number (called the multiplier). The result is known as the product. The multiplication formula can be represented as:

Product = Multiplicand * Multiplier

For example, if we multiply 5 by 2, the formula becomes:

Product = 5 * 2 = 10

Properties of Multiplication

Multiplication exhibits several properties that can help simplify calculations and solve mathematical problems efficiently. Let’s explore some of the key properties of multiplication:

Closure Property of Multiplication

The closure property of multiplication states that when two numbers are multiplied together, the result is always a number within the same set of numbers. In other words, multiplying two whole numbers will always yield a whole number.

For example, multiplying 2 by 3 gives us 6, which is also a whole number.

Commutative Property of Multiplication

The commutative property of multiplication states that changing the order of the multiplicands does not affect the result. In simple terms, you can multiply numbers in any order, and the product will remain the same.

For example, multiplying 3 by 4 or 4 by 3 both result in 12.

Associative Property of Multiplication

The associative property of multiplication states that changing the grouping of the multiplicands does not change the final result. In other words, you can group numbers differently while multiplying, and the product will remain unchanged.

For example, multiplying (2 by 3) and then multiplying the result by 4 gives us the same product as multiplying 2 by (3 and 4).

Distributive Property of Multiplication

The distributive property of multiplication allows us to distribute a factor to each term within a sum or difference before multiplying. It is particularly useful when multiplying a number by a sum or difference.

For example, if we have 3 * (2 + 4), we can distribute the 3 to each term inside the parentheses and simplify the multiplication: 3 * 2 + 3 * 4, which gives us 6 + 12 and ultimately 18.

Identity Property of Multiplication

The identity property of multiplication states that multiplying any number by 1 will result in the original number. In other words, 1 acts as the identity element for multiplication.

For example, multiplying 5 by 1 gives us 5.

Zero Property of Multiplication

The zero property of multiplication states that any number multiplied by 0 will always result in 0. In other words, the product of 0 and any number is 0.

For example, multiplying 0 by 7 or 0 by 9 both result in 0.

Multiplying Integers

Multiplying integers involves multiplying positive and negative whole numbers. The rules for multiplying integers are as follows:

• The product of two positive integers is always positive.
• The product of two negative integers is always positive.
• The product of a positive and negative integer is always a negative number.

For example, multiplying 4 by 3 gives us 12 (positive * positive = positive). Multiplying -4 by -3 also gives us 12 (negative * negative = positive). However, multiplying 4 by -3 results in -12 (positive * negative = negative).

Multiplying Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. The resulting product is the simplified fraction, if possible.

For example, if we multiply 1/2 by 3/4, we multiply the numerators (1 * 3) to get 3, and we multiply the denominators (2 * 4) to get 8. Thus, the product is 3/8.

Multiplying Decimals

To multiply decimals, ignore the decimal point and multiply the numbers as if they were whole numbers. The final decimal point in the product should be placed by counting the total number of decimal places in the multiplicands.

For example, if we multiply 1.5 by 2.7, we ignore the decimal points and multiply 15 by 27, which gives us 405. Since there is one decimal place in the multiplicands, the product will have one decimal place as well. Therefore, the product is 4.05.

Multiplying Numbers with Powers

When multiplying numbers with powers (exponents), you can add the exponents if the bases are the same.

For example, if we multiply 2^3 by 2^4, we add the exponents: 3 + 4 = 7. Therefore, the product is 2^7.

Tips to Master Multiplication

Mastering multiplication requires practice and a solid understanding of the concepts involved. Here are some tips to help children improve their multiplication skills:

• Practice regularly: Set aside dedicated time for multiplication practice. The more you practice, the better you’ll become.
• Memorize multiplication facts: Focus on memorizing the multiplication tables to quickly recall products.
• Use visual aids: Utilize multiplication charts, number lines, or manipulatives to visualize multiplication concepts.
• Apply real-world examples: Relate multiplication to everyday situations to make it more relatable and practical.
• Play interactive games: Engage in multiplication games and activities to make learning fun and interactive.

Multiplication Signs

Multiplication can be represented by various signs or notations in different contexts. Apart from the traditional multiplication symbol (*), multiplication can also be indicated using the letter “x” or a centered dot (·).

For example, instead of writing 3 * 4, you can write 3 x 4 or 3 · 4.

Multiplication Table

A multiplication table is a handy reference that displays the products of multiplying numbers from 1 to 10 (or beyond). It provides a quick way to find the products of different numbers.

Here is a simplified example of a multiplication table:

Multiplication Tricks

There are several tricks and shortcuts that can make multiplication easier and faster. Here are a few:

• Doubling and Halving: To multiply a number by 2, double the number. To multiply a number by 4, double it twice. To multiply by 5, multiply by 10 and then halve the result.
• Nines Trick: To multiply a number by 9, multiply it by 10 and then subtract the original number. For example, to multiply 9 by 7, multiply 10 by 7 and subtract 7, resulting in 63.
• Finger Multiplication: Use your fingers to multiply by 9 or 6. For example, to multiply 9 by 7, lower the 7th finger (counting from the left), and you have 6 fingers on the left and 3 fingers on the right, resulting in 63.

How to Solve Multiplication Problems?

Solving multiplication problems involves understanding the problem, identifying the given numbers, and applying the appropriate multiplication operation. Here is a general approach to solving multiplication problems:

• Read the problem carefully: Understand what the problem is asking and identify the relevant information.
• Identify the numbers: Identify the numbers that need to be multiplied.
• Choose the appropriate operation: Determine if multiplication is required based on the problem context.
• Perform the multiplication: Multiply the numbers together using the multiplication formula or properties.
• Check the solution: Verify the result and ensure it makes sense within the problem context.

By following these steps, you can effectively solve multiplication problems and arrive at the correct answers.

Multiplication Without Regrouping

When multiplying multi-digit numbers without regrouping, also known as carrying, follow these steps:

• Write the numbers vertically: Place one number above the other, aligning the corresponding digits.
• Multiply the ones place: Multiply the digits in the ones place and write the product below.
• Multiply the tens place: Multiply the digits in the tens place and write the product in the tens place below.
• Add the partial products: Add the products obtained in steps 2 and 3 to find the final product.

Multiplication With Regrouping

When multiplying multi-digit numbers with regrouping, also known as carrying, follow these steps:

If the partial product in any place value exceeds 9, carry over the excess to the next place value.

Multiplication Using Number Line

Multiplication can also be visualized and solved using a number line. Here’s how it works:

• Draw a number line: Draw a horizontal line and mark the starting point.
• Mark the first number: Locate the first number on the number line by counting from the starting point.
• Repeated jumps: Make repeated jumps of the size indicated by the second number on the number line.
• Final position: Mark the final position reached after the required number of jumps.
• Read the product: Determine the value represented by the final position on the number line.

Word Problems on Multiplication

Word problems involving multiplication require translating the given information into a multiplication equation and solving for the unknown. Here’s an example:

Problem: Sara has 5 bags, and each bag contains 8 apples. How many apples does she have in total?

Solution: We know that Sara has 5 bags, and each bag contains 8 apples. To find the total number of apples, we need to multiply the number of bags by the number of apples per bag.

Number of bags = 5 Number of apples per bag = 8

Total number of apples = Number of bags * Number of apples per bag Total number of apples = 5 * 8 = 40

Sara has a total of 40 apples.

Solved Examples On Multiplication

Let’s look at a few solved examples to further illustrate multiplication:

Example 1: Multiply 6 by 3.

Solution: To multiply 6 by 3, we use the multiplication formula:

Product = Multiplicand * Multiplier Product = 6 * 3 = 18

The product of 6 and 3 is 18.

Example 2: Multiply 0.5 by 0.2.

Solution: When multiplying decimals, we ignore the decimal points and multiply the numbers as if they were whole numbers. Count the total number of decimal places in the multiplicands to determine the decimal places in the product.

0.5 * 0.2 = 5 * 2 = 10

Since there is one decimal place in the multiplicands, the product will have one decimal place. Therefore, the product is 1.0.

Example 3: Multiply -2 by -4.

Solution: When multiplying negative numbers, the product is always positive.

(-2) * (-4) = 2 * 4 = 8

The product of -2 and -4 is 8.

Practice Problems On Multiplication

Now it’s time to put your multiplication skills to the test with some practice problems. Try solving the following multiplication problems:

• Multiply 9 by 6.
• Multiply 2.5 by 4.
• Multiply -7 by 3.
• Multiply 1/3 by 5/6.
• Multiply 0.75 by 0.8.

Take your time, show your work, and check your answers. Practice is the key to mastering multiplication!

Multiplication is a fundamental operation in mathematics that involves combining numbers to find their product. It has various properties and can be applied to integers, fractions, decimals, and numbers with powers. By understanding the properties, learning multiplication tricks, and practicing regularly, children can develop strong multiplication skills.

In this article, we explored the definition of multiplication, multiplication properties, multiplication of integers, fractions, decimals, and numbers with powers. We discussed tips to master multiplication, multiplication signs, the multiplication table, and tricks for faster multiplication. Additionally, we covered solving multiplication problems, multiplication with and without regrouping, multiplication using a number line, word problems, solved examples, and practice problems.

Frequently Asked Questions On Multiplication

What is multiplication in mathematics.

Multiplication is a fundamental mathematical operation that involves combining two or more numbers to find their product. It represents the process of repeated addition or scaling quantities. For example, multiplying 3 by 4 means adding three 4 times or scaling a quantity by a factor of 3. Multiplication is denoted by the symbol “x” or “*”, and the numbers being multiplied are called the multiplicand and the multiplier.

What are the properties of multiplication?

Multiplication has several important properties:

• Commutative Property: The order of the numbers being multiplied doesn’t affect the result. For example, 3 * 4 is the same as 4 * 3.
• Associative Property: The grouping of numbers being multiplied doesn’t affect the result. For example, (2 * 3) * 4 is the same as 2 * (3 * 4).
• Distributive Property: Multiplication can be distributed over addition or subtraction. For example, a * (b + c) is the same as (a * b) + (a * c).
• Identity Property: Multiplying a number by 1 leaves the number unchanged. For example, 5 * 1 is equal to 5.
• Zero Property: Multiplying a number by 0 always results in 0. For example, 6 * 0 is equal to 0.

These properties provide a framework for manipulating and simplifying multiplication expressions.

How can I master multiplication?

To become proficient in multiplication, consider the following strategies:

• Practice Regularly: Regular practice is key to improving multiplication skills. Dedicate time each day to practice multiplication facts and solve multiplication problems.
• Memorize Multiplication Facts: Memorizing multiplication facts, such as times tables, can greatly enhance speed and efficiency in solving multiplication problems.
• Use Visual Aids: Utilize visual aids, such as arrays, diagrams, or number lines, to visualize and understand the concept of multiplication.
• Apply Real-World Examples: Connect multiplication to real-life situations. For instance, relate multiplication to equal groups, sharing items, or scaling quantities in everyday scenarios.
• Play Interactive Games: Engage in interactive multiplication games and activities that make learning multiplication fun and engaging. Online platforms and educational apps offer a variety of interactive multiplication games suitable for different age levels.

By incorporating these strategies into your learning routine, you can develop a strong foundation in multiplication.

How can I solve multiplication problems?

To solve multiplication problems effectively, follow these steps:

• Understand the Problem: Read the problem carefully and identify the given information, the numbers to be multiplied, and what the problem is asking for.
• Identify the Numbers: Determine the multiplicand and the multiplier—the numbers being multiplied.
• Choose the Appropriate Operation: Recognize if multiplication is required based on the problem context. Sometimes, problems may involve other operations like addition or subtraction.
• Perform the Multiplication: Multiply the numbers together using the multiplication formula or properties discussed earlier. You can use long multiplication, mental math strategies, or alternative methods depending on the numbers involved and your preferred approach.
• Check the Solution: Verify the result by checking if it makes sense within the problem context. Re-read the problem and ensure the solution answers the question posed.
• Mathematics Enhancement Programme – Multiplication
• Multiplication Properties – Math Warehouse
• Multiplication – Wikipedia

As a seasoned educator with a Bachelor’s in Secondary Education and over three years of experience, I specialize in making mathematics accessible to students of all backgrounds through Brighterly. My expertise extends beyond teaching; I blog about innovative educational strategies and have a keen interest in child psychology and curriculum development. My approach is shaped by a belief in practical, real-life application of math, making learning both impactful and enjoyable.

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Multiplication Word Problems 4th Grade

Welcome to our Multiplication Word Problems for 4th Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems at a 4th grade level.

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Multiplication Word Problems 4th Grade Online Quiz

Multiplication word problems, 4th grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 4th grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling and currency symbols set for the UK.

4th Grade Multiplication Word Problem Sheets

Series 4 sheet 1 set.

• Series 4 Sheet 1A (easier)
• Series 4 Sheet 1B (medium)
• Series 4 Sheet 1C (hard)

• PDF Series 4.1 (6 sheets)
• PDF Series 4.1 UK version (6 sheets)

Series 4 Sheet 2 Set

• Series 4 Sheet 2A (easier)
• Series 4 Sheet 2B (medium)
• Series 4 Sheet 2C (hard)
• PDF Series 4.2 (6 sheets)
• PDF Series 4.2 UK version (6 sheets)

Series 4 Sheet 3 Set

• Series 4 Sheet 3A (easier)
• Series 4 Sheet 3B (medium)
• Series 4 Sheet 3C (hard)
• PDF version Series 4.3 (6 sheets)
• PDF version Series 4.3 UK version (6 sheets)

Multiplication Word Problems Walkthrough Video

This short video walkthrough shows several problems from our Multiplication Problems Worksheet 4.3A being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Looking for some easier Multiplication Problems?

In our 3rd Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 3rd graders.

The following areas are covered:

• basic multiplication fact sheets;
• multiplication facts to 10x10;
• 2 digits x 1 digit
• Multiplication Word Problem Worksheets 3rd Grade

Looking for some harder Multiplication Problems?

In our 5th Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 5th graders.

• multiplication fact sheets;
• multiplication related facts to 10x10 e.g. 6 x 70, 8 x 0.6, etc;
• problems needing written multiplication methods to solve e.g. 2 digits x 2 digits, decimal multiplication
• Multiplication Problems Printable 5th Grade

More Recommended Math Worksheets

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Looking for more 4th Grade Word Problems?

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

• apply their addition, subtraction and problem solving skills;
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• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems

Multiplication Times Table Charts

Here you will find a selection of Multiplication Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

• Learn their multiplication facts to 10x10 or 12x12;
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All the free printable Math charts in this section are informed by the Elementary Math Benchmarks.

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• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

The following games develop the Math skill of multiplying in a fun and motivating way.

• learn their multiplication facts;
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Multiplication word problems

Interesting multiplication word problems .

A detailed explanation on how to do the multiplication is shown below:

       6 0     × 1 2    ______     1 2 0  + 6 0 0   _______     7 2 0

       5 0     × 1 4    ______     2 0 0  + 5 0 0   _______     7 0 0

         5 0 0       ×    5 2       _______       1 0 0 0    2 5 0 0 0   _________    2 6 0 0 0

Take a look also at the multiplication word problem in the figure below

Division word problems

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Multiplication

• Practice Questions

Multiplication is a fundamental mathematical operation, representing the process of adding a number to itself a certain number of times. It’s not just a building block for math education but a critical tool in daily life and advanced science. Multiplication stands as one of the primary mathematical operations, sharing this core status with addition, subtraction , and division .This guide unveils its intricacies, applications, and tips for mastery, making multiplication accessible to learners at all levels

What is Multiplication?

Multiplication stands as one of the primary mathematical operations, sharing this core status with addition, subtraction, and division. Essentially, to multiply means to add together equal-sized groups repeatedly. This operation serves as a fundamental building block in mathematics, facilitating the calculation of numerous equal parts or quantities in a streamlined manner.

Multiplication Table Chart

Multiplication Symbol (×)

The multiplication symbol, denoted as “×,” serves as the mathematical operator indicating multiplication between two numbers or expressions. It is a cross-shaped sign that signifies the operation of taking one number and adding it to itself a certain number of times, as determined by the second number. For example, in the expression “4 × 3,” the “×” symbol instructs us to multiply 4 by 3, resulting in 12. This symbol is universally recognized in mathematics to represent the concept of multiplication.

Multiplication Formula

The formula for multiplication is straightforward, involving two numbers or variables that are multiplied together to find their product. Represented symbolically, it is:

Product = a × b

Product = Multiplicand ×  Multiplier

• a and b are the multiplicands, or the numbers being multiplied.
• The symbol × denotes the multiplication operation.
• The result of multiplying a by b is called the product.

8(multiplicand) × 5 (multiplier) = 40 (product)

How to Solve Multiplication Problems?

Basic multiplication:.

• Understand the Terms : Identify the numbers (factors) you need to multiply.
• Apply the Multiplication Formula : Use the formula a × b = product , where a and b are your factors.
• Calculate : Multiply the numbers to find the product.

Long Multiplication (For Larger Numbers):

• Write Down the Numbers : Place the larger number above the smaller number, aligning them by their rightmost digits.
• Multiply Each Digit of the Bottom Number by the Top Number : Start from the rightmost digit of the bottom number. Multiply it by each digit of the top number, carrying over any values as necessary.
• Add the Results : If you’re multiplying a number by a multi-digit number, write down each result under the numbers being multiplied, shifting one place to the left each time you move to the next digit of the bottom number. Then, add these results together to find the total product.

Multiplication Without Regrouping

Identify the Numbers : Choose the two numbers you want to multiply. This method is easiest with single-digit numbers, but it can also apply to specific cases of larger numbers.

Multiply Each Pair of Digits : If you’re dealing with single-digit numbers, simply multiply them together. For example, 3 × 4 = 12 . If your numbers are larger but carefully chosen (or the circumstances work out such that) no single multiplication step results in a number greater than 9, you can apply the same principle.

Write the Product : Since there’s no need to regroup (or carry), you can directly write down the answer obtained from your multiplication.

Example 1: Simple Multiplication Without Regrouping

• Problem : Multiply 4×2 4 × 2 .
• Solution : The product is 8 8 . Since both numbers are single-digit and their product is less than 10, regrouping is not necessary.

Example 2: Larger Numbers Without Regrouping

• Problem : Multiply 123 by 5.
• Multiply the ones place: 5 × 3 = 15 , write down 5, carry over 1 (note: in this case, because it’s the last digit, you’d typically write down the entire 15).
• Multiply the tens place: 5 × 2 = 10 , write down 0, carry over 1.
• Multiply the hundreds place: 5 × 1 = 5 , then add the carried over 1 for a total of 6, write down 615 as the product.

Multiplication With Regrouping

• Write the Numbers : Place the numbers you are multiplying vertically, aligning them by their right-hand digits.
• Multiply the Units First : Start with the rightmost digit (units) of the bottom number. Multiply it by the top number. If the product is 10 or more, write down the unit digit of the product and carry over the tens digit to the next column on the left.
• Move to the Next Digit : Move to the left to the next digit of the bottom number. Multiply it by the top number, add any carried number, and write down the result. If the product plus the carry is 10 or more, write down the unit and carry the tens digit again.
• Repeat for All Digits : Continue this process for each digit of the bottom number, moving from right to left, until all digits have been multiplied.
• Add the Products : If you’re multiplying a number by a multi-digit number, you’ll end up with multiples rows of products. Add these together to get the final answer.

Example: Multiplying 23 by 4

• Step 1 : Write 23 above 4.
• Step 2 : Multiply the rightmost digit of 23 (3) by 4. 3 × 4 = 12 . Write down 2 and carry over 1.
• Step 3 : Multiply the next digit of 23 (2) by 4. 2 × 4 = 8 , then add the carried over 1. 8 + 1 = 9 . Write down 9.
• Step 4 : Your final answer is 92

Multiplication Using Number Line

Multiplication using a number line is a visual method that helps illustrate the concept of multiplication as repeated addition . This technique is especially useful for teaching young learners or those new to the concept of multiplication. Here’s how to perform multiplication using a number line:

Steps for Multiplication Using a Number Line:

• Draw a Number Line : Begin by drawing a horizontal line and mark evenly spaced intervals or “hops” on it. Label the starting point as zero.
• Identify the Multiplier and Multiplicand : Determine which number will be repeated (multiplicand) and how many times it will be repeated (multiplier). For example, if you are multiplying 3 by 4, you will make 4 hops of 3 units each.

Make Hops on the Number Line : Start at zero. For each multiplication operation, make hops equal to the value of the multiplicand. Each hop should span a number of spaces on the number line equal to the multiplicand.

• Hop 3 spaces to the right from 0, landing on 3.
• Make a second hop of 3 spaces, landing on 6.
• Hop another 3 spaces, landing on 9.
• Make a final hop of 3 spaces, landing on 12.
• Mark Each Stop : As you make each hop, mark the stopping point on the number line . This point represents the cumulative total of the multiplication so far.
• Result : The point at which the final hop ends is the product of the multiplication. In the example of 3 by 4, the final hop ends at 12, so 3×4=12

Checking Multiplication

Multiplication Word Problems

Question : A landscaper plants 8 rows of flowers in a garden. Each row contains 9 flowers. How many flowers are there in total?

Answer : To find the total number of flowers, multiply the number of flowers per row by the number of rows: 8 rows×9 flowers/row=72 flowers Total Flowers : 72

Question : A factory produces 250 car parts each day. How many car parts are produced in 20 days?

Answer : Multiply the number of car parts produced each day by the number of days: 250  parts/day × 20  days = 5000  parts Total Parts Produced : 5000

Question : Each box of tea bags contains 15 tea bags. If a store sells 36 boxes, how many tea bags were sold?

Answer : Multiply the number of tea bags per box by the number of boxes sold: 15  tea bags/box × 36  boxes = 540  tea bags Total Tea Bags Sold : 540

Question : A parking lot has 45 spaces. On a particular day, if 32 cars are parked in each space, how many cars are in the parking lot?

Answer : Multiply the number of spaces by the number of cars per space: 45  spaces × 32  cars/space = 1440  cars Total Cars Parked : 1440

Question : A concert hall has 24 rows of seats. Each row has 42 seats. How many seats are in the concert hall?

Answer : Multiply the number of rows by the number of seats per row: 24  rows × 42  seats/row = 1008  seats Total Seats in Concert Hall : 1008

Question : A school cafeteria serves lunch to 18 classes each day. If each class has 26 students, how many students in total are served lunch?

Answer : Multiply the number of classes by the number of students per class: 18  classes × 26  students/class = 468  students Total Students Served : 468

FAQ’s

What is the multiplicand * multiplier.

The terms multiplicand and multiplier are factors in a multiplication equation. The multiplicand is the number being multiplied, while the multiplier is the quantity by which the multiplicand is multiplied. For instance, in 4 × 3 , 4 is the multiplicand, and 3 is the multiplier, yielding a product of 12.

How Do You Explain Multiplication to a Child?

To explain multiplication to a child, describe it as repeated addition. For example, if you have 3 groups of 4 apples, multiplication tells you the total number of apples. You simply add the number in each group together: 4 + 4 + 4 = 12 apples. This shows that 3 × 4 = 12 .

What Does Multiply Mean for Kids?

For kids, “multiply” means combining equal groups to find out how many items there are altogether. It is like adding the same number several times. For example, if you have 5 groups of 2 cookies, multiplying 5×2 5 × 2 tells you that there are 10 cookies in total.

How to Do Multiplier Math?

Multiplier math involves using one number (the multiplier) to increase another number (the multiplicand) repeatedly. The process is simple: multiply the multiplicand by the multiplier to get the product. For instance, multiplying 6 (multiplicand) by 4 (multiplier) means adding 6 to itself 4 times, resulting in 24.

What is Multiplication for Grade 2?

In Grade 2, multiplication is introduced as a method for quick addition of equal groups. Students learn to interpret multiplication as repeated addition, such as seeing 5×3 5 × 3 as adding three 5s (5+5+5). This foundational concept helps them understand how multiplication facilitates efficient counting and problem-solving.

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Problem Solving on Multiplication

Problem solving on multiplication will help us to get the idea on how to solve the basic multiplication statement problems.

1.  Three groups of ponies are eating. There are 2 ponies in each group. How many ponies are there in all?

Solution: 

Number of groups of ponies = 3

Number of ponies in each group = 2

Therefore, total number ponies = 3 × 2 = 6

2.  A coloring-pen cost 4 dollars. How many dollars Alex must have paid for 5 coloring-pens?

Cost of a coloring-pen = $4

Number of coloring-pens = 5

Therefore, cost of 5 coloring-pens = $4 × 5 = $20

3. Andy had 2 groups of toy kittens. There were 5 kittens in each group. He put all the kittens in a basket. How many kittens were in the basket?

Number of groups of toy kittens Andy had = 2

Number of kittens in each group = 5

Therefore, total number of kittens in the basket = 2 × 5 = 10

4. A table has 4 corners. In a classroom there are 8 tables. How many corners do 8 tables have in all?

Number of corners a table has = 4

Number of tables = 8

Therefore, total number of corners 8 tables have = 4 × 8 = 32

More examples on statement problem solving on multiplication:

5. John is 9 years old. His brother is 3 times older than him. How old is John’s brother?

Age of John = 9 years

Number of times his brother is older than John = 3

Age of John’s brother = 9 × 3 = 27 years

6. Mary is 5 years old. Her mother is 7 times as old as she is. How old is her mother?

Age of Mary = 5 years

Number of times her mother is older than Mary = 7

Age of her mother = 5 × 7 = 35 years

7. There are 4 baskets. Each basket has 2 kittens. How many kittens are there in all? 

here are                        4 baskets.

Each basket has             2 kittens

This can be written as:   4 × 2 = 8

Thus, there are 8 kittens in all

8. There are 5 crayon boxes. Each box has 3 crayons. How many crayons are there in all?

There are                     5 boxes

Each box has                3 crayons

This can be written as:  5 × 3 = 15

Thus, there are 15 crayons in all.

Worksheet on Problems on Multiplication:

1. Count and complete the following multiplication sums.

(i) There are 5 wheels. 1 wheel has 5 spokes.

     5 × 5 = _____

Thus, 5 wheels have _____ spokes.

(ii) There are 3 zebras. I zebra has 4 legs.

     3 × 4 = _____

Thus, 3 zebras have _____ legs.

(iii) There are 5 flower pots. I flower pot has 3 flowers.

      5 × 3 = _____

Thus, 5 flower pots have _____ flowers.

(iv) There are 6 bicycles. I bicycle has 2 tyres.

      6 × 2 = _____

Thus, 6 bicycles have _____ tyres.

(v) There are 3 spiders. I spider has 6 legs.

     3 × 6 = _____

Thus, 3 spiders have _____ legs.

2. Word Problems on Multiplication:

(i)  A pair of shoes contains 2 shoes. How many shoes are there in 4 pairs?

(ii) There are 5 boys in a row. How many boys are there in 5 rows?

(iii) There are 2 wheels in a bicycle. How many wheels are there in 6 bicycles?

2.  (i) 8

(ii) 25

(iii) 12

2nd Grade Math Practice  

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Multiplication Word Problems (1-step word problems)

These lessons look at some examples of multiplication word problems that can be solved in one step. We will illustrate how block models (tape diagrams) are used in the Singapore math approach to help you to visualize the multiplication word problems in terms of the information given and the answer that needs to be found.

Related Pages More Multiplication Word Problems Math Word Problems

Example: A chair costs $12. What is the cost of 3 such chairs?

12 × 3 = 36

Answer: The cost of 3 such chairs is $36.

Example: Nick delivers 405 newspapers in a day. How many newspapers does he deliver in 5 days?

405 × 5 = 2025

Answer: He delivered 2025 newspapers in 5 days.

Multiplication Model Drawing

Example: Lu has 3 plates of cupcakes. There are 4 cupcakes on each plate. How many cupcakes does Lu have altogether?

A store owner was buying uniforms for his employees. If each of his three stores needed eight uniforms how many uniforms would he need?

John bought two boxes of books at a yard sale. If each box had five books how many books did he buy?

An employee at a construction site earns $8 an hour. If he works eight hours in one week, how much money would he have earned?

A pet store sold five gerbils in one week. If each of the gerbils cost eight dollars, how much money would they have made?

How to read and solve some multiplication word problems (suitable for grade 3)?

Maggie is collecting stones by the river. When she is done she finds that only 5 stones can fit in the bag. She fills up four bags. How many stones does she have altogether?

Hector has 8 chocolate chip cookies. Each cookie has exactly 4 chocolate chips in it. How many chocolate chips does Hector have in total?

Sara goes to a dog park. She counts 10 dogs at a park. If she wanted to calculate how many dog legs there were at the park, what would be the number sentence? What would be the answer?

How to solve a 3rd Grade Multiplication Word Problem with a Tape Diagram?

Example: Scoop cuts 9 pieces of wrapping paper. Each piece of wrapping paper is 7 cm long. What is the total length of the pieces of wrapping paper that Scoop cuts?

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

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7 simple Multiplication Strategies for Students of All Ages (The Why and How to)

Multiplication can be a daunting task for students of all ages. However, with the right multiplication strategies in place, it can become a fun and easy process.

In this article, we will discuss 7 multiplication strategies that will help students understand the why behind multiplication before learning how to do it.

With these strategies in place, students will be able to confidently approach multiplication problems and succeed before learning multiplication facts.

The importance of understanding the why before learning how to multiply

It can not be understated. multiplication is a fundamental building block for many mathematical concepts.

If students do not have a strong foundation in multiplication, they will likely struggle with more complex topics down the road.

Therefore, it is essential that students understand the why behind multiplication facts before moving on to learning how to do it.

What are the 7 strategies for multiplication?

In my 14+ years as a high school mathematics teacher, I have noticed that many students have gaps in their knowledge about multiplication strategies.

Once they are allowed to use a calculator they rely on this heavily and forget the mental math strategies they used in primary and middle school.

Knowing the times tables becomes assumed knowledge in high school to be able to readily apply them to algebra, measurement and other topics quickly. So these multiplication strategies are extremely useful to all students.

Commutative property

If you know that 4 x 7 = 28, then 7 x 4 also equals 28 because the commutative property of multiplication states that the order of numbers does not affect the product.

This is a key multiplication strategy for students to understand because it can help them save time and effort when multiplying large numbers.

It also means students only need to memorize half of the times tables.

x4 = Double double

If you know that doubling a number and then doubling the result is the same as multiplication by four, then you can use this strategy to solve multiplication problems quickly.

For example, if you need to calculate 28 x 4, you can first double 28 to get 56. Then, double 56 to get 112. Therefore, 28 x 4 = 112

Doubling and halving

This multiplication strategy is great when multiplication by a large even number is required.

For example, if you need to calculate 16 x 3, you can first halve 16 to get 8. Then, double 3 to get 6. Therefore, 16 x 3 = 8 x 6 = 48

This diagram shows two rectangles of dimensions 16 x 3 and 8 x 6.

You can see that they have the same area.

9 times tables on fingers

This multiplication strategy is one that students often learn in primary school.

To use this strategy, you hold up your hands and put down your finger that you are multiplying by 9.

For example, if you are finding 9 x 7, you put down your 7th finger like this.

This leaves 6 fingers to the left of the finger that was folded down and 3 fingers to the right.

So 9 x 7 = 63

Try it with your fingers and 9 x 8. Hold down your 8th finger and you should have 7 fingers to the left and 2 to the right, so 9 x 8 = 72

Repeated addition

This multiplication strategy is often used with young students who are just learning to multiply.

It is a helpful strategy for them to understand that multiplication is simply repeated addition.

For example 4 x 3, can be thought of as 4 + 4 + 4 = 12

Skip counting

Skip counting is a strategy that can be used with any number. It relies on multiplication facts that have already been learned to skip count by the number being multiplied.

For example, if you need to calculate 5 x 13, you can start by skip counting by 5’s like this:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65

Skipping count by the number that you are multiplying to find the answer.

Equal groups

When we group objects into equal sets, we can add them up to find the total number of objects.

This is a strategy that is often used with young students who are just learning to multiply.

For example, 4 x 3 can be represented by equal groups of 3.

This can be represented with a diagram with 4 plates of cookies with 3 cookies on each plate. Then we can count the cookies.

So 4 x 3 = 12

Whole number multiplication can also be thought of as repeated addition with an array.

An array is a rectangular arrangement of objects. The number of rows in the array tells us how many times we need to add.

The number of columns tells us what number we are adding.

For example, this array has three rows and four columns

There are 12 dots altogether so 3 x 4 = 12

What order do you teach multiplication strategies?

There is no definitive answer to this question as different students will learn multiplication strategies at different rates. However, it is generally recommended that students learn repeated addition and skip counting first. Then the commutative property before moving on to more difficult strategies such as doubling and halving.

What is a multiplication fact strategy?

Using the commutative property is the simplest multiplication fact strategy.

The commutative property is when the order of the numbers being multiplied does not affect the answer.

So this means you only need to learn half of the multiplication facts since

5 x 4 = 4 x 5

The benefits of using multiplication strategies

There are many benefits to using multiplication strategies.

Some of these benefits include:

– Students will develop a deeper understanding of multiplication concepts.

– Students will be able to approach multiplication problems with confidence.

– Students will be better prepared to tackle more complex mathematical concepts in the future.

Final thoughts and my experience of using multiplication strategies in the classroom

These multiplication strategies are essential for students to understand the multiplication facts which are often rote learned. They can then be applied to any multiplication, even if it is for the multiplication of decimals or algebraic terms.

In my teaching experience, the students who were able to apply these different strategies had better success solving unfamiliar problems and were faster, allowing them more time to think about harder questions.

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Course: 6th grade   >   Unit 7

• One-step division equations
• One-step multiplication equations

One-step multiplication & division equations

• One-step multiplication & division equations: fractions & decimals
• One-step multiplication equations: fractional coefficients

Multiplication and division are inverse operations

If we start with 7, multiply by 3, then divide by 3, we get back to 7:

7 ⋅ 3 ÷ 3 = 7 ‍  

If we start with 8, divide by 4, then multiply by 4, we get back to 8:

8 ÷ 4 ⋅ 4 = 8 ‍  

Solving a multiplication equation using inverse operations

6 t = 54 6 t 6 = 54 6                     Divide each side by six. t = 9                     Simplify. ‍  

Let's check our work.

Solving a division equation using inverse operations.

x 5 = 7 x 5 ⋅ 5 = 7 ⋅ 5                     Multiply each side by five. x = 35                     Simplify. ‍  

Summary of how to solve multiplication and division equations

Let's try solving equations.

• (Choice A)   Multiply each side by 8 ‍   . A Multiply each side by 8 ‍   .
• (Choice B)   Divide each side by 8 ‍   . B Divide each side by 8 ‍   .
• (Choice C)   Multiply each side by 72 ‍   . C Multiply each side by 72 ‍   .
• (Choice D)   Divide each side by 72 ‍   . D Divide each side by 72 ‍   .
• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

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Multiplication – Definition, Examples, Practice Problems, FAQs

Multiplication definition in math, symbol of multiplication, solved examples on multiplication, practice problems on multiplication, frequently asked questions on multiplication.

$8 + 8 = ?$

$8 + 8 + 8 + 8 = ?$

$8 + 8 + 8 + 8 + 8 + 8 + 8 = ?$

Don’t you think it’s too tedious to add 8 so many times. 

There is an easy and better way to do this. 

Multiplication is one of the four basic arithmetic operations, alongside addition , subtraction , and division . In math, multiply means the repeated addition of groups of equal sizes. 

To understand better, let us take a multiplication example of the ice creams.

Each group has ice creams, and there are two such groups. 

Total ice creams are $3 + 3 = 6$. 

However, you have added two groups of 3 ice creams. Therefore, you have multiplied three ice creams by two. You may also write it as $2 \times 3 = 6$.

As we can see, $3 + 3$ is the same as $2 \times 3$.When we multiply two numbers, the answer is called product . The number of objects in each group is called multiplicand , and the number of such equal groups is called the multiplier . In our case, $3$ is the multiplicand, $2$ is the multiplier and 6 is the product.

There are many ways to read an equation that involves multiplication. 

For example, $2 \times 3 = 6$. It can be read as follows:

• Two multiplied by three is six.
• Two times three is six.
• Two threes are six. 

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Multiplication is represented by the signs cross (×), asterisk (*), or dot (·). While writing in your notebooks, you are most likely to use the cross. The asterisk and dot are used in computer languages and algebra (higher mathematics). 

For example: $6 \times 5 = 30$

$7 * 8 = 56$ 

$5 · 4 = 20$

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Multiplying Integers

In order to multiply the integers, we need to see the sign of the integers . 

• Multiply two positive integers

The product of the two positive integers is always a positive integer.

For example: $5 \times 6 = 30$

• Multiply one positive and one negative integer

The product of a positive and negative integer is always a negative number. 

For example: $(-$ $5) \times 6 = (-$ $30)$

• Multiply two negative integers

The product of two negative integers is always a positive integer. 

For example: $(-$ $5) \times ( -$ $6) = 30$

Multiplying Fractions

In order to multiply the fractions, the numerators and denominators are multiplied together such that:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

For example: Multiply $\frac{1}{2}$ and $\frac{3}{4}$.

$\frac{1}{2} \times {3}{4} = \frac{1 \times 3}{2 \times 4} = 38$

Multiplying Decimals

Multiplying the decimals is the same as multiplying the integers. 

For example: Multiply $13.2$ and $3.5$. 

Let us multiply $13.2$ and $3.5$ by removing the decimals here and consider them whole numbers . Hence,

$132 \times 35 = 4620$

We put the decimal point back, then the product of the two decimal numbers will have decimal up to two positions from right to left, such that

$13.2 \times 3.5 = 46.20$

Multiplying Numbers with Powers

In math, powers define a base raised to the exponent . For example: $3^2, {(-5)}^4$.

• When the base is the same but power is different

Let the two expressions be $x^m$ and $x^n$. Here, the base is “ x ”. 

When the terms with the same base are multiplied, the powers gets added, i.e., $x^m$ $x^n = x^{(m + n)}$

For example: $3^2$ $3^5=3^{2+5} = 3^7$

• When the base is different but the exponent is the same

Let the two expressions be $x^m$ and $y^m$. Here, the power is “ m ”. 

When the terms with the same exponents are multiplied, the bases are multiplied first and then we apply the exponent, i.e., $x^my^m = (xy)^m$ 

For example: $3^24^2=(3 \times 4)^2=12^2 = 144$

• When the bases and powers are different

Let the two expressions be xn and ym. Here, the bases are x and y. The powers are n and m. When we multiply these expressions, each expression is evaluated separately and then multiplied. It can be written mathematically as

$x^ny^m = (x)^n(y)^m$

            For example: $3^2 \times 4^3=9 \times 64 = 576$

Properties of Multiplication

Just like addition, multiplication also follows specific properties, which are as follows: 

• Commutative Property: This property states that when we multiply two numbers, the order will not cause any change in the product.

Let us consider $2 \times 3 = 6$, for example. If we reverse the order, i.e., compute $3 \times 2$, the answer will still be $6$. 

• Associative Property: This property states that if we multiply three numbers or more, one after the other, the order does not matter. For example: if we have to $2, 3$ and $4$:
• $(2 \times 3) \times 4 = 24$
• $2 \times (3 \times 4) = 24$

If you jumble the order and multiply, the result will still not change.

• $3 \times (2 \times 4) = 24$
• Distributive Property: This property states that if you multiply a number by the sum of two numbers, the result will be equal to the sum of products you obtain by multiplying that number by those two numbers individually. For example, $3 \times 8$.
• You can write $8$ as $6 + 2$. Therefore $3 \times 8 = 3 \times (6 + 2) = 24$
• Now, $3 \times 6 = 18$. Also, $3 \times 2 = 6$.
• $18 + 6 = 24 = 3 × 8$. Therefore, distributive property holds true.

Tips to Master Multiplication

Here are some tips that will come in handy while multiplying:

• Memorizing tables: Multiplication is all a game of tables. So, if you have tables at your fingertips, you will find little easy to multiply.
• Making good use of the properties: If you are thorough with the properties of multiplication, you will be able to deconstruct complex problems into simpler ones. For example:
• $3 \times 13 = 3 \times (10 + 3) = (3 \times 10) + (3 \times 3)$ (Distributive property)

This also helps in deriving new facts from the known facts. 

For example :

• If you know $2 \times 9 $ is $18$, using the commutative property of multiplication, you also know that $9 \times 2$ is also $18$.
• If you know $2 \times 10$ is $20$ and $2 \times 4 $ is $ 8$, using the distributive property of multiplication, you also know that $2 \times 14$ is $ 28$.
• If you multiply any number by $1$, the answer will be the number itself. One is called the identity element under multiplication.
• If you multiply any number by zero, the result is always zero.

Multiplication is not just an arithmetic tool. It is a life skill that students must master at a very early age to solve real life problems.  We hope this helped you deepen your understanding of the subject.To read more such informative articles on other concepts, do visit our website . We, at Splashlearn, are on a mission to make learning fun and interactive for all students.

•  Multiply $4 \times 2$ using a number line.

$4 × 2$ means $4$ jumps of $2$ or $2$ jumps of $4$ which is $8$ in both cases. 

•  Compute the problem: $2 \times 16$ .

$2 \times 16 = 2 \times (10 + 6) = (2 \times 10) + (2 \times 6)  = 20 + 12 = 32$.

• $3 \times 25 = 25 \times 3$ . Which property is this?

The property given above is the commutative property of multiplication i.e. $a \times b = b \times a$. 

  IV. What should we multiply to $(-$ $24)$ to get the product as $48$ ?

Let the number be x.

$(-$ $24) \times \times = 48$

$x = -$ $2$

   V. Multiply $\frac{2}{5}$ and $\frac{15}{8}$.

$\frac{2}{5} \times \frac{15}{8} = \frac{3}{4}$

Multiplication

Attend this Quiz & Test your knowledge.

Observe the image and answer the question using multiplication. How many flowers are there in total?

Compute $16 × 9$.

If you have 5 friends, and each friend gives you 2 apples, how many apples do you get in total, each plant blossoms 4 flowers. a row has 8 plants. there are 15 rows in the garden. how many flowers are there in total, multiply $3x^2 y$by$ -10xy^3$.

What should be multiplied with a number to get the same number?

should be multiplied with a number to get the number itself.  For example – $10 × 1 = 10$

What is the purpose of multiplication ?

Multiplication helps us find the total number of items quickly . For this we will think about the number of equal sized groups and the number of items in each group.

What are the numbers in multiplication called?

The numbers to be multiplied are generally called the “factors”. The number to be multiplied is the “multiplicand”, and the number by which it is multiplied is the “multiplier”.

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• Corresponding Terms – Definition with Examples
• Distance Between Two Points

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