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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 |
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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 |
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Definition
Two number are additive inverses if their sum is the additive identity. Example: 234 + (-234) = 0 |
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Definition
Two numbers are multiplicative inverses if their product is the multiplicative identity. Example: 4 x 1/4 = 1 |
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Commutative Property of Addition |
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Definition
Changing the order of two or more addends in an addition problem does not change the sum. Example: 3 + 2 = 2 + 3 = 5 |
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Commutative Property of Multiplication |
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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) |
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Associative Property of Addition |
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Definition
Changing the grouping of the addends in an addition problem does not change the sum. Example: a + (4 + c)= (a + 4) + c |
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Associative Property of Multiplication |
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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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