Multiplication Examples in Math

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: 4ร—34 \times 3.

Read the full concept explanation โ†’

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 aร—b=ca \times b = c.

Answer

12 apples

First step

1
Repeated addition: 3+3+3+3=123 + 3 + 3 + 3 = 12.

Full solution

  1. 2
    Write as multiplication: 4ร—3=124 \times 3 = 12.
  2. 3
    There are 12 apples in all.
Multiplication is a shortcut for repeated addition. 4ร—34 \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 55 rows of 44 crayons. How many crayons are in the box? Draw the array if you need to.

Example 4

easy
Write 4+4+4+4+44 + 4 + 4 + 4 + 4 as a multiplication and compute it.

Example 5

medium
Compute 25ร—1225 \times 12 using a smart split.

Example 6

medium
Compute 300ร—40300 \times 40.

Example 7

medium
In a word problem, you see the numbers 77 and 44 and the word "each". Should you always multiply? Explain with this story: "There are 7 kids. Each got 4 stickers."

Example 8

hard
Compute 234ร—5234 \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 5ร—85 \times 8?

Example 2

medium
A store sells eggs in cartons of 12. If you buy 7 cartons, how many eggs do you have?

Example 3

easy
Compute 4ร—64 \times 6.

Example 4

easy
Compute 7ร—87 \times 8.

Example 5

easy
Compute 9ร—69 \times 6.

Example 6

easy
Compute 5ร—05 \times 0.

Example 7

easy
Compute 7ร—17 \times 1.

Example 8

easy
Compute 12ร—512 \times 5.

Example 9

easy
Compute 3ร—1003 \times 100.

Example 10

easy
Compute 6ร—126 \times 12.

Example 11

medium
Compute 14ร—2514 \times 25.

Example 12

medium
Compute 23ร—823 \times 8.

Example 13

medium
Compute 36ร—1136 \times 11.

Example 14

medium
Compute 25ร—1625 \times 16.

Example 15

medium
Compute 124ร—5124 \times 5.

Example 16

medium
A bookshelf holds 88 books per row and has 77 rows. How many books total?

Example 17

medium
Compute 24ร—1524 \times 15.

Example 18

medium
Compute 32ร—2832 \times 28.

Example 19

medium
Compute 0.4ร—600.4 \times 60.

Example 20

challenge
A box has 2424 rows of 3636 tiles. About how many tiles? Estimate to one significant figure, then compute exactly.

Example 21

challenge
ABCDโ€พร—9=DCBAโ€พ\overline{ABCD} \times 9 = \overline{DCBA}, where A,B,C,DA, B, C, D are digits and Aโ‰ 0A \neq 0, Dโ‰ 0D \neq 0. Find ABCDโ€พ\overline{ABCD}.

Example 22

challenge
Find the largest product of two two-digit numbers whose digits are 1,2,3,41, 2, 3, 4 used exactly once each.

Example 23

easy
Compute 8ร—98 \times 9.

Example 24

easy
Compute 11ร—711 \times 7.

Example 25

easy
Compute 0ร—990 \times 99.

Example 26

medium
Compute 15ร—1215 \times 12.

Example 27

medium
A classroom has 44 tables. Each table has 66 chairs. Each chair holds 11 student. How many students fit?

Example 28

medium
Compute 48ร—2548 \times 25.

Example 29

medium
A pack of pencils has 2424 pencils. A teacher buys 99 packs. How many pencils?

Example 30

medium
Compute 19ร—2119 \times 21.

Example 31

medium
A movie theater has 1818 rows of 2222 seats. How many seats total?

Example 32

medium
Compute 45ร—1145 \times 11.

Example 33

hard
Compute 125ร—32125 \times 32.

Example 34

hard
Compute 99ร—4799 \times 47.

Example 35

hard
A field is 3636 m by 2525 m. What is its area in square meters?

Example 36

hard
345ร—26=?345 \times 26 = ?

Example 37

challenge
What is the smallest number that is the product of three different one-digit numbers, all greater than 11, and is divisible by 3030?

Example 38

challenge
How many trailing zeros does the product 25ร—32ร—1125 \times 32 \times 11 end in?
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Background Knowledge

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

additioncounting