12/3 Associative and Commutative Property

Front

What is the Commutative Property of Addition?

Back

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

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What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the numbers being multiplied does not change the product. For example, 4 x 6 = 6 x 4.

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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 the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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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 the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

Give an example of the Commutative Property of Addition.

Back

An example is: 7 + 2 = 2 + 7.

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Give an example of the Commutative Property of Multiplication.

Back

An example is: 5 x 9 = 9 x 5.

Front

What does the Associative Property allow you to do with parentheses in addition?

Back

The Associative Property allows you to move parentheses in addition without changing the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

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What does the Associative Property allow you to do with parentheses in multiplication?

Back

The Associative Property allows you to move parentheses in multiplication without changing the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to distribute multiplication over addition.

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 5 + 0 = 5.