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 numbers being added does not change the sum. For example, 25 + x = x + 25.

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What does the Commutative Property of Multiplication state?

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The Commutative Property of Multiplication states that changing the order of the numbers being multiplied does not change the product. For example, 4 x 5 = 5 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 when adding does not change the 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 when multiplying does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Distributive Property?

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The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, a(b + c) = ab + ac.

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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, x + 0 = x.

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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, x x 1 = x.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there is an opposite number that, when added together, equals zero. For example, x + (-x) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number, there is a reciprocal that, when multiplied together, equals one. For example, x x (1/x) = 1.

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What is an example of the Distributive Property?

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An example of the Distributive Property is 3(4 + 5) = 3*4 + 3*5.