Multiplication Examples: 46 Problems with Answers

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Multiplication.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Finding the total when a quantity is repeated a given number of times; the result of repeated addition of equal groups.

If you have 4 bags with 3 apples each, multiplication tells you the total: $4 \times 3$ .

Read the full concept explanation →

How to Use These Examples

Read the first worked example with the solution open so the structure is clear.
Try the practice problems before revealing each solution.
Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Multiplication is the shortcut for counting the same-size group again and again.

Common stuck point: The procedure for multiplication is the easy part; the trap is multiplying any two numbers that appear in a word problem. Asking "Are all the groups the same size?" first is what keeps a correct-looking calculation from being attached to the wrong concept.

Sense of Study hint: Ask: Are all the groups the same size?

Worked Examples

Example 1

easy

There are 4 bags and each bag has 3 apples. How many apples are there in all? Use

a \times b = c

Answer

12 apples

First step

Repeated addition:

3 + 3 + 3 + 3 = 12

Full solution

2
Write as multiplication: $4 \times 3 = 12$ .
3
There are 12 apples in all.

Multiplication is a shortcut for repeated addition.

4 \times 3

means 4 groups of 3, which equals 12.

Example 2

medium

A classroom has 6 rows of desks with 7 desks in each row. How many desks are in the classroom?

Example 3

easy

A box has

5

rows of

4

crayons. How many crayons are in the box? Draw the array if you need to.

Example 4

easy

Write

4 + 4 + 4 + 4 + 4

as a multiplication and compute it.

Example 5

medium

Compute

25 \times 12

using a smart split.

Example 6

medium

Compute

300 \times 40

Example 7

medium

In a word problem, you see the numbers

7

and

4

and the word "each". Should you always multiply? Explain with this story: "There are 7 kids. Each got 4 stickers."

Example 8

hard

Compute

234 \times 5

using doubling and halving.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy

What is

5 \times 8

Example 2

A bookshelf holds

8

books per row and has

7

rows. How many books total?

Example 17

medium

Compute

24 \times 15

Example 18

medium

Compute

32 \times 28

Example 19

medium

Compute

0.4 \times 60

Example 20

challenge

A box has

24

rows of

36

tiles. About how many tiles? Estimate to one significant figure, then compute exactly.

Example 21

challenge

\overline{ABCD} \times 9 = \overline{DCBA}

, where

A, B, C, D

are digits and

A \neq 0

D \neq 0

. Find

\overline{ABCD}

Example 22

challenge

Find the largest product of two two-digit numbers whose digits are

1, 2, 3, 4

used exactly once each.

Example 23

easy

Compute

8 \times 9

Example 24

easy

Compute

11 \times 7

Example 25

easy

Compute

0 \times 99

Example 26

medium

Compute

15 \times 12

Example 27

medium

A classroom has

hard

Compute

125 \times 32

Example 34

hard

Compute

99 \times 47

Example 35

hard

A field is

36

m by

25

m. What is its area in square meters?

Example 36

hard

345 \times 26 = ?

Example 37

challenge

What is the smallest number that is the product of three different one-digit numbers, all greater than

1

, and is divisible by

30

Example 38

challenge

How many trailing zeros does the product

25 \times 32 \times 11

end in?

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Related Concepts

Addition Counting Division Exponents

Background Knowledge

These ideas may be useful before you work through the harder examples.

additioncounting