Properties of Addition and Multiplication

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What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

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What does the Associative Property of Addition state?

Back

The Associative Property of Addition states that (a + b) + c = a + (b + c). It means that the way numbers are grouped does not change their sum.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that a + b = b + a. It means that the order in which you add numbers does not affect the sum.

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that a + 0 = a. Adding zero to any number does not change the value of that number.

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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 (a x 0 = 0).

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that (a x b) x c = a x (b x c). It means that the way numbers are grouped does not change their product.

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What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that a x b = b x a. It means that the order in which you multiply numbers does not affect the product.

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Provide an example of the Distributive Property.

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Example: 3(4 + 5) = 3 x 4 + 3 x 5 = 12 + 15 = 27.

Front

Provide an example of the Associative Property of Addition.

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Example: (2 + 3) + 4 = 2 + (3 + 4) = 9.

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Provide an example of the Commutative Property of Addition.

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Example: 5 + 7 = 7 + 5 = 12.