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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.

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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


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