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Associative Property of Addition
For any numbers a, b, and c, it is true that (a + b) + c = a + (b + c).
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Associative Property of Multiplication
For any numbers a, b, and c, it is always true that (a×b)×c = a×(b×c).
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Commutative Property of Addition
For any numbers a and b, it is true that a + b = b + a.
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Commutative Property of Multiplication
For any numbers a and b, it is true that a×b = b×a.
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Distributive Property of Multiplication
For any numbers a, b, and c, it is true that a×(b + c) = (a×b) + (a×c).
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Expression
A representation of a number. 5 + 3 and 10 - 2 are both expressions that represent the number 8.
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Identity Property of Addition
A number does not change when 0 is added: for any number a, it is true that a + 0 = a. It is also true that 0 + a = a.
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Identity Property of Multiplication
A number does not change when it is multiplied by 1: for any number a, it is true that a×1 = a. It is also true that 1×a = a.
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Inverse Operation
An operation that "reverses" another operation. Addition and subtraction are inverses of each other, as are multiplication and division.
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Order of Operations
The order in which to carry out operations when evaluating an expression-- parenthesis, multiplication, division, addition, subtraction.
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Zero Product Property
Of multiplication. For any number a, it is true that a×0 = 0 and 0×a = 0.