Properties of Addition and Multiplication Lesson

Properties of Addition and Multiplication

Characteristics of operations that are always true.

Commutative Property of Addition

Order of addends does not matter

Commutative Property of Multiplication

Order of the factors does not matter.

Associative Property of Addition

Order stays the same - grouped differently

Associative Property of Multiplication

Order remains the same - groupings are different

Distributive Property

AKA: Break it down

Identity Property of Addition

Any number is added to 0 the sum will be the same.

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5 + 0 = 5 79 + 0 = 79

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25 + 0 = 25 132 + 0 = 132

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52 + 0 = 52​ 1,999 + 0 = 1,999

Identity Property of Multiplication

Anything multiplied by 1 stays the same!

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2 x 1 = 2 146 x 1 = 146

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47 x 1 = 47 765 x 1 = 765

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88 x 1 = 88​ 25,000 x 1 = 25,000

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Multiple Select

Which property likes to "group" number differently? Pick all that apply

• Distributive Property

• Associative Property of Addition

• Commutative Property of Addition

• Associative Property of Multiplication

Poll

Who thinks this illustrates the Distributive Property?

8 x (9+3)

(8x9)+(8x3)

• SURE DOES

• ABSOLUTELY NOT

Multiple Choice

Please solve this expression and identify the property used to help you solve the expression. 31+27+29

• 87 - commutative property

• 69- Associative Property

• 87- Distributive Property

• 69- Identity Property

Multiple Choice

What property is shown?

3+4+5=4+3+5

• Commutative Property of Addition

• Associative Property of Addition

• Identity Property of Addition

• Distributive Property