PROPERTIES

• Commutative
• Associative
• Distributive
• Identity
• Inverse

Commutative
Changing the order of the numbers will not change the answer

Additive Commutative
Rule: a+b=b+a
Example: 4+5=5+4

Multiplicative Commutative
Rule:ab=ba
Example: 5x4=4x5

HOW TO REMEMBER

Associative
Changing the grouping of the numbers will not change the answer

Additive Associative
Rule: a+(b+c)=(a+b)+c
Example:2+(3+4)=(2+3)+4

Multiplicative Associative
Rule: a(bc)=(ab)c
Example: 2(3x4)=(2x3)4

HOW TO REMEMBER

Distributive
Simplifying a number sentence by taking it through parenthesis

Examples
6(2+4x)
2(6+3)

How to remember distributive

Distribute it with parenthesis

Additive Identity
Adding zero to a number does not change the answer

Multiplicative Identity
Multiplying a number by 1 does not change the answer

Examples
Additive: 9+0=9 and 0+9=9
Multiplicative: 5x1=5 and 1x5=5

HOW TO REMEMBER

Additive Inverse
Opposites add to zero
Example: 9+(-9)=0

Multiplicative Inverse
To get 1 out of a number by multiplying it by its multiplicative inverse
EX: 8x1/8=1

HOW TO REMEMBER