Properties of Multiplication and Addition

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What is the Commutative Property of Addition?

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

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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 does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the number. For example, 7 + 0 = 7.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 × 6 = 6 × 4.

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, 5 × 1 = 5.

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What is the Distributive Property?

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

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How do you apply the Distributive Property?

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To apply the Distributive Property, multiply the number outside the parentheses by each term inside the parentheses. For example, 3(2 + 4) = 3 × 2 + 3 × 4.

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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.

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What is an example of the Commutative Property of Addition?

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An example is: 8 + 2 = 2 + 8.