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A collection of objects or numbers |
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The Set of numbers that can be located with a point on the number line |
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can be written a/b, where a and b are integers and b is not zero. |
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Add zero to the set of natural numbers for counting. 0,1,2,3,... |
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The set containing the numbers for counting. 1,2,3,... |
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Zero, the natural numbers, and their opposites. -3,-2,-1,0,1,2,3,... |
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The set of real numbers that cannot be written as rational numbers. Pi, sqrt(2), sqrt(3), sqrt(5) |
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The positive (or zero) real number that, when multiplied by itself, gives the radicand, X. sqrt(3) x sqrt(3) = 3 |
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Has no meaning. Like the square root of a negative number. |
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Associative Property for Addition |
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a + (b + c) = (a + b) + c 2 + (3 + 4) = (2 + 3) + 4 |
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Associative Property for Multiplication |
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a x (b x c) = (a x b) x c 3 x (4 x 5) = (3 x 4) x 5 |
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Commutative Property for Addition |
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a + b = b + a 6 + 8 = 8 + 6 |
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Commutative Property for Multiplication |
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a x b = b x a 6 x 8 = 8 x 6 |
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Distributive Property of Multiplication Over Addition |
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Definition
a(b + c) = ab + ac 3(4 + 5) = 3 x 4 + 3 X 5 |
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