Properties of Operations

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Properties of Operations
Amie Elizabeth
Flashcards by Amie Elizabeth, updated more than 1 year ago
Amie Elizabeth
Created by Amie Elizabeth about 9 years ago
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Question Answer
Associative Property of Addition 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 Multiplication 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)
Commutative Property of Addition When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a
Commutative Property of Multiplication 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
Distributive Property 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
Identity Property of Addition The sum of any number and zero is the original number. For example a + 0 = a.
Identity Property of Multiplication The product of any number and one is that number. For example a x 1 = a.
Additive Inverse of a Number The additive inverse of a number, a is -a so that a + -a = 0.
Multiplicative Inverse of a Number The multiplicative inverse of a number, a is 1/a so that a x 1/a = 1.
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