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# Properties of Math

### Properties of Mathematics

TermDefinition
Associative Property (a+b)+c = a+(b+c) No matter how the numbers are grouped the answers will always be the same. (addition and multiplication ONLY) (a*b)*c = a*(b*c) When three or more numbers are added,the sum is the same regardless of the grouping of the addends
Additive Inverse a+(-a) = 0 The sum of a number and its opposite is always zero b+(-b) = 0
Additive Identity a+0 = a The sum of any number and zero is the original number x+0 = x
Reflexive Property a=a The "=" sign reflects the SAME VALUE on both sides of the equation b=b
Disbributive Property a(b+c)=a*b + a*c Distribute what is outside the parenthesis by what is inside the parenthesis The sum of two numbers times a third number is equal to the sum of each addend times the third number
Multiplicative Inverse a/1 * 1/a = a/a = 1 Any number multiplied by its reciprocal is always one x/1 * 1/x = x/x = 1
Multiplicative Identity a*1 = a The product of any number and 1 is that number x*1 = x
Commutative Property a+b = b+a Numbers may be added or multiplied together in any order When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands a*b = b*a
Created by: olssonn