Arithmetic Properties

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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 in an addition problem does not change the sum. For example, (a + b) + c = a + (b + c).

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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 in a multiplication problem does not change the product. For example, (a x b) x c = a x (b x c).

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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, a + b = b + a.

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What is the Commutative Property of Multiplication?

Back

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 Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

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What is an example of the Associative Property of Addition?

Back

An example is (2 + 3) + 4 = 2 + (3 + 4), both equal 9.

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What is an example of the Associative Property of Multiplication?

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An example is (2 x 3) x 4 = 2 x (3 x 4), both equal 24.

Front

What is an example of the Commutative Property of Addition?

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An example is 5 + 7 = 7 + 5, both equal 12.

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is 4 x 6 = 6 x 4, both equal 24.

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What is an example of the Distributive Property?

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An example is 3(4 + 5) = 3*4 + 3*5, which equals 27.