Commutative, Associative, Identity, Inverse, Multiplicative,and Distributive
Commutative Property of Addition
Changing the order of the addends does not change the sum. a + b = b + a
Identity Property of Addition
-Allows you to add (or subtract) O to or from any number or variable and NOT effect the IDENTITY (value) of the number/variable
Identity Property of multiplication
If you multiply a number by one, the product is the same a x 1=
Distributive Property
States that the product of a number and a sum is equal to the sum of the individual products of addends and the number a(b + c) = ab + ac
Inverse Property of Multiplication
The product of a number and its reciprocal is 1. 4(1/4)= 1
Associative Property of Multiplication
Words: Changing the grouping of numbers in a product doesn't change the product (a x b) x c = a x (b x c)
Multiplicative Property of Zero
Any number multiplied by zero is zero a x 0 = 0
Associative Property of Addition
Changing the grouping of three or more addends does not change the sum. (a+b)+c=a+(b+c)
Inverse Property of Addition
add the opposite a+(-a)=0
Commutative Property of Multiplication
the order in which you multiply numbers does not change their product a x b = b x a