Properties of Addition and Multiplication

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What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains the same. For example, 12 x 1 = 12.

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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 does not change the product. For example, 7 x 6 = 6 x 7.

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What does the equation 4 x 9 = 9 x 4 demonstrate?

Back

This equation demonstrates the Commutative Property of Multiplication.

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Which of the following does NOT show the Commutative Property? 3 x 1 = 3

Back

The equation 3 x 1 = 3 does not show the Commutative Property because it does not involve changing the order of the numbers.

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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, 5 x (7 + 9) = (5 x 7) + (5 x 9).

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way numbers are grouped does not change their 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 numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus 0 remains the same. For example, 8 + 0 = 8.

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What is an example of the Commutative Property of Addition?

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An example of the Commutative Property of Addition is 5 + 3 = 3 + 5.

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What is the difference between the Commutative and Associative Properties?

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The Commutative Property deals with the order of numbers, while the Associative Property deals with the grouping of numbers.