Properties of Math

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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, (3 + 8) + 5 = 3 + (8 + 5).

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, 3 + 9 = 9 + 3.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 3 × 4 = 4 × 3.

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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 in a multiplication problem does not change the product. 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, 3 + 0 = 3.

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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 Zero Property of Multiplication?

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The Zero Property of Multiplication states that multiplying any number by zero results in zero. For example, 7 × 0 = 0.

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What is an example of the Associative Property of Addition?

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(4 + 5) + 6 = 4 + (5 + 6).

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What is an example of the Commutative Property of Addition?

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2 + 5 = 5 + 2.

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What is an example of the Commutative Property of Multiplication?

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6 × 2 = 2 × 6.