Number Properties Rules of the game 2-7-1.

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Presentation transcript:

Number Properties Rules of the game 2-7-1

Properties Properties are the rules of the game. If the rules are changed a different kind of math is played. These properties are for everyday math.

Commutative Property Order doesn’t matter

Commutative Property Commutative property of addition. a + b = b + a 7 + 8 = 8 + 7 (-3)+4=4+(-3) The commutative property says the order doesn’t matter for addition.

Commutative Property Commutative property of addition. a + b = b + a 7 + 8 = 8 + 7 (-3)+4=4+(-3) The commutative property says the order doesn’t matter for addition.

Grouping Doesn’t Matter Associative Property Grouping Doesn’t Matter

Associative Property Associative property of addition (a+b)+c = a+(b+c) (7+8)+2=7+(8+2) 15+2 = 7 + 10 The associative property says the grouping doesn’t matter for addition.

Associative Property Associative property of multiplication. (axb)xc=ax(bxc) (7x8)x2=8x(7x2) 56x2=8x14 The associative property says the grouping doesn’t matter for multiplication.

Distributive Property Connecting Addition to Multiplication

Distributive Property a(b+c)=ab+ac example Multiplying a sum by some number is the same as multiplying each term by that same number.

Identify the Properties 3x(4x)=3(4)xx=12x2 commutative and associative properties of multiplication.