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Property's of Math

7th grade math which is helpful when studying for tests!

QuestionAnswer
Associative Property of Addition When three or more numbers are added, the sum is the same regardless of the grouping of addends. Associative = grouping. Look for parentheses moving. ( a+b ) + c = a + ( b+c )
Associative Property of Multiplication When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. Associative = grouping. Look for parentheses moving. ( a x b ) x c = a x ( b c )
Commutative Property of Addition When two numbers are added, the sum is the same regardless of the order of the addends. Commutative = change places. The numbers switch orders. a+b=b+a
Commutative Property of Multiplication When two numbers are multipliedd together the product is the same regardless of the order of the multiplicands. Commutative = changes places. The numbers switch order. a x b=b x a
Distributive Property The sum of two numbers times a third number is equal to the sum of each addend times the third number. Distribute the outside number to every term inside the parentheses. a x (b+c)=a x b + a x c
Identity Property of Addition The sum of any number and zero is the original number. Identity means it stays the same. a+0=a
Identity Property of Multiplication The product of any number and one is that number. Identity means it stays it the same. a x 1 = a
Additive Inverse of Number The additive inverse of a number. Opposites cancel. A number plus its opposite equals 0. a + -a = 0
Multiplicative Inverse of a Number The multiplicative inverse of a number. A number times its reciprocal equals 1. a is 1/a so that a x 1/a = 1
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