Students use the commutative property to rewrite multiplication facts like 9 x 7 as 7 x 9.

Understanding the Commutative Property of Multiplication

The commutative property of multiplication states that changing the order of the numbers being multiplied does not change the product. In other words:

> $ a \times b = b \times a $

This means you can switch the two numbers in a multiplication expression, and the result will stay the same.

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Let's Solve Each Problem Using the Commutative Property

We’ll rewrite each multiplication fact by switching the order of the two numbers.

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#### i. $ 9 \times 7 = \boxed{7 \times 9} $
(Switch 9 and 7)

#### ii. $ 1 \times 4 = \boxed{4 \times 1} $
(Switch 1 and 4)

#### iii. $ 8 \times 6 = \boxed{6 \times 8} $
(Switch 8 and 6)

#### iv. $ 3 \times 5 = \boxed{5 \times 3} $
(Switch 3 and 5)

#### v. $ 5 \times 7 = \boxed{7 \times 5} $
(Switch 5 and 7)

#### vi. $ 5 \times 4 = \boxed{4 \times 5} $
(Switch 5 and 4)

#### vii. $ 7 \times 6 = \boxed{6 \times 7} $
(Switch 7 and 6)

#### viii. $ 4 \times 6 = \boxed{6 \times 4} $
(Switch 4 and 6)

#### ix. $ 8 \times 1 = \boxed{1 \times 8} $
(Switch 8 and 1)

#### x. $ 5 \times 3 = \boxed{3 \times 5} $
(Switch 5 and 3)

#### xi. $ 1 \times 4 = \boxed{4 \times 1} $
(Switch 1 and 4)

#### xii. $ 6 \times 7 = \boxed{7 \times 6} $
(Switch 6 and 7)

#### xiii. $ 6 \times 4 = \boxed{4 \times 6} $
(Switch 6 and 4)

#### xiv. $ 3 \times 4 = \boxed{4 \times 3} $
(Switch 3 and 4)

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✔ Final Answers:

| Original | Rewritten (Using Commutative Property) |
|--------|----------------------------------------|
| i. $ 9 \times 7 $ | $ 7 \times 9 $ |
| ii. $ 1 \times 4 $ | $ 4 \times 1 $ |
| iii. $ 8 \times 6 $ | $ 6 \times 8 $ |
| iv. $ 3 \times 5 $ | $ 5 \times 3 $ |
| v. $ 5 \times 7 $ | $ 7 \times 5 $ |
| vi. $ 5 \times 4 $ | $ 4 \times 5 $ |
| vii. $ 7 \times 6 $ | $ 6 \times 7 $ |
| viii. $ 4 \times 6 $ | $ 6 \times 4 $ |
| ix. $ 8 \times 1 $ | $ 1 \times 8 $ |
| x. $ 5 \times 3 $ | $ 3 \times 5 $ |
| xi. $ 1 \times 4 $ | $ 4 \times 1 $ |
| xii. $ 6 \times 7 $ | $ 7 \times 6 $ |
| xiii. $ 6 \times 4 $ | $ 4 \times 6 $ |
| xiv. $ 3 \times 4 $ | $ 4 \times 3 $ |

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🔍 Explanation:

- The commutative property helps us understand that multiplication is flexible — we can rearrange the factors.
- This property is useful for mental math, simplifying problems, and building number sense.
- For example: $ 9 \times 7 = 63 $, and $ 7 \times 9 = 63 $. Same answer!

✔ So, all answers are correct as long as the two numbers are swapped.

Let me know if you'd like this worksheet with answers filled in!