Associative and Commutative & Distributive Property

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change their sum. For example, (a + b) + c = a + (b + c).

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What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change their sum. For example, a + b = b + a.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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Calculate: 3(2c - 5)

Back

6c - 15

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Calculate: 2(c - 8)

Back

2c - 16

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Calculate: 6(8x - 2)

Back

48x - 12

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Calculate: 10(3y + 1)

Back

30y + 10

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Calculate: 9(5c + 4)

Back

45c + 36

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What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change their product. For example, (a × b) × c = a × (b × c).

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change their product. For example, a × b = b × a.