Number Properties Rules of the Game Properties Properties

Number Properties Rules of the Game

Properties • Properties are the rules of the game. • If the rules are changed, a different kind of math is played. • These properties are used in everyday math.

Commutative Property Order doesn’t matter

Commutative Property The Commutative Property for addition looks like this: a+b=b+a 7+8=8+7

Commutative Property The Commutative Property for addition says the order of the numbers doesn’t matter. a+b=b+a 7+8=8+7 15 = 15

Associative Property Grouping doesn’t matter.

Associative Property • Associative Property of Addition looks like this: (a + b) + c = a + (b + c) (7 + 8) + 2 = 7 + (8 + 2) 15 + 2 = 7 + 10

Associative Property The Associative Property for Addition says the grouping of the numbers doesn’t matter. 12 + (8 + 6) = (12 + 8) + 6 12 + 14 = 20 + 6 26 = 26

Identity No change

Identity An identity for a particular operation doesn’t change the identity of the number when the operation is done.

Identity • Additive Identity is 0 a+0=a 7+0=7 Zero plus a number is that number.

Identity • Multiplicative Identity is 1 1 xa=a 8 x 1=8 One times a number is that number.

Inverse Opposite

Distributive Property Connecting Addition to Multiplication

Distributive Property The Distributive Property for Multiplication looks like this: 3 x 16 = (3 x 10) + (3 x 6) Multiplying a sum by some number is the same as multiplying each term by that same number.

Identify the Properties Now you know about the different properties we use in math.