number properties

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 6 = 6 x 4.

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the number. For example, 7 + 0 = 7.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, 9 x 1 = 9.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that a number plus its opposite equals zero. For example, 5 + (-5) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that a number multiplied by its reciprocal equals one. For example, 4 x (1/4) = 1.

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What is the Zero Property of Multiplication?

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The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 8 x 0 = 0.

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What is a positive integer?

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A positive integer is a whole number greater than zero, such as 1, 2, 3, etc.