Properties of Addition and Multiplication. Commutative Property  Commute or move around  Changing the order of the numbers in the problem does not change.

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Presentation transcript:

Properties of Addition and Multiplication

Commutative Property  Commute or move around  Changing the order of the numbers in the problem does not change the answer; the answer will remain the same  Not true for subtraction and division  Examples: 5 x 6 = 30, and 6 x 5 = = 53, and = x20x2; Use the commutative property to solve

4 x 20 x 2  2x4=8  20x8=160

Associative Property  Associate or group  Regrouping of numbers does not change the answer; the answer will remain the same  Not true for subtraction and division  Example: (6+7)+2=15, and 6+(7+2)=15 (9x4)x10=360, and 9x(4x10)=360 -(8x3)x2=8x(__ x2)

(8x3)x2 = 8x(__ x2)  Missing number is 3

Identity Property  Any number + 0 equals that number  Any number x 1 equals that number  Examples: 56+0=56 56x1=56 (9+8)+0; Solve using identity property

(9+8)+0  9+8 first  =17  17+0=17

Distributive Property  Distribute or pass throughout  Factoring something out Examples: -5x(7+9)=(5x7)+(5x9) -Factor 5 has been pass out to the 7 and 9 -8x59: 59 = 50+9, so 8x(50=9), then pass out the 8; (8x50)+(8x9)

82x6  Use the distributive property to solve  82 = 80+2  6X(80+2)  (6x80)+(6x2)   492