Properties of Operations

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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, 5 x 3 = 3 x 5.

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by 1 remains unchanged. For example, 4 x 1 = 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 Additive Identity Property?

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

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What is the Additive Inverse Property?

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The Additive Inverse Property states that a number and its opposite add up to zero. For example, -5 + 5 = 0.

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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. For example, a(b + c) = ab + ac.

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19b + 29.

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10.

Front

What is the Commutative Property of Addition?

Back

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

Front

What is the Associative Property of Multiplication?

Back

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).