Properties of Addition and Multiplication

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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, a + b = b + a.

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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, a x b = b x a.

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What is the identity property of addition?

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The identity property of addition states that the sum of any number and zero is the number itself. For example, a + 0 = a.

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What is the identity property of multiplication?

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The identity property of multiplication states that the product of any number and one is the number itself. For example, a x 1 = a.

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Provide an example of the commutative property of multiplication.

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An example of the commutative property of multiplication is 3 x 4 = 4 x 3.

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Provide an example of the identity property of multiplication.

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An example of the identity property of multiplication is 5 x 1 = 5.

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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 the sum. For example, (a + b) + c = a + (b + c).

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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 the product. For example, (a x b) x c = a x (b x c).

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What is the additive inverse?

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The additive inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5.

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What is the multiplicative inverse?

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The multiplicative inverse of a number is the number that, when multiplied by the original number, results in one. For example, the multiplicative inverse of 4 is 1/4.