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Properties of Real Numbers
From Carnegie Text Book
8
Mathematics
8th Grade
10/19/2016

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Term
Additive Identity
Definition
A number such that when you add it to a second number, the sum is equal to the second number.
Example: 4 + 0 = 4
Term
Multiplicative Identity
Definition
A number such that when you multiply it by a second number, the product is equal to the second number.
Example: -24 x 1 = -24
Term
Additive Inverse
Definition
Two number are additive inverses if their sum is the additive identity.
Example: 234 + (-234) = 0
Term
Multiplicative Inverse
Definition
Two numbers are multiplicative inverses if their product is the multiplicative identity.
Example: 4 x 1/4 = 1
Term
Commutative Property of Addition
Definition
Changing the order of two or more addends in an addition problem does not change the sum.
Example: 3 + 2 = 2 + 3 = 5
Term
Commutative Property of Multiplication
Definition
Changing the order of two or more factors in a multiplication problem does not change the product.
Example: -67 x 56 = 56 x (-67)
Term
Associative Property of Addition
Definition
Changing the grouping of the addends in an addition problem does not change the sum.
Example: a + (4 + c)= (a + 4) + c
Term
Associative Property of Multiplication
Definition
Changing the grouping of the factors in a multiplication problem does not change the product.
Example: (2 x 3) x 4 = 2 x (3 x 4) =24
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