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# Math Properties

TermDefinition
1 ) The product of any number and one is that number. For example a x 1 = a. Identity Property of Multiplication
2 ) The sum of any number and zero is the original number. For example a + 0 = a. Identity Property of Addition
3 ) The additive inverse of a number, a is -a so that a + -a = 0. Additive Inverse
4 ) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c Distributive Property
5 ) The multiplicative inverse of a number, a is 1/a so that a Multiplicative Property of Inverse or Reciprocal
7 ) When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a Commutative Property
8 ) The additive inverse of a number, a is -a so that a + -a = 0. Additive Inverse or Opposites
9 ) Multiplying any number by 0 yields 0. For example a x 0 = 0. Multiplication by Zero or Zero Property of Multiplication
10 ) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c) Associative Property of Addition
11 ) The sum of any number and zero is the original number. For example a + 0 = a. Identity Property of Addition
12 ) Multiplying any number by 0 yields 0. For example a x 0 = 0. Multiplication by Zero or Zero Property of Multiplication
13 ) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c) Associative Property of Addition
14 ) When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c) Associative Property of Multiplication
15 ) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c Distributive Property
Created by: tcsmem