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Properties and Mental Math

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Properties and Mental Math

#3

Vocabulary

Vocabulary

Caution!

The Commutative and Associative

Properties do not apply to subtraction

or division.

Example 1: Using Properties to Add and Multiply Whole Numbers

Simplify 17 + 5 + 3 + 15.

Example 2: Using Properties to Add and Multiply Whole Numbers

Simplify 4 13 5.

Example 3

Simplify 23 + 8 + 12 + 7.

23 + 8 + 12 + 7

= 23 + 7 + 8 + 12

= 30 + 20

= 50

Example 4

Simplify 49 + 17 + 51.

49 + 17 + 51

= 49 + 51 + 17

= 100 + 17

= 117

Example 5

Simplify 6 × 33 × 5.

6 × 33 × 5

= 6 × 5 × 33

= 30 × 33

= 990

Vocabulary

When you multiply two numbers, you can “break apart” one of the numbers into a sum and then use the Distributive Property.

Example 6: Using the Distributive Property to Multiply

Use the Distributive Property to find the product.

6 35

Example 7: Using the Distributive Property to Multiply

Use the Distributive Property to find the product.

9 87

Example 8

Use the Distributive Property to find each product.

6 71

Example 9

Use the Distributive Property to find each product.

28 5

Example 10

Use the Distributive Property to find each product.

8 44