Math Properties

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What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Tags

CCSS.7.NS.A.1D

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What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a and a × b = b × a.

Tags

CCSS.1.OA.B.3

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What is the Distributive Property?

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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.

Tags

CCSS.3.OA.B.5

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What is the Identity Property of Addition?

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The Identity Property of Addition states that the sum of any number and zero is that number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that the product of any number and one is that number. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there exists an additive inverse such that their sum is zero. For example, a + (-a) = 0.

Tags

CCSS.7.NS.A.1B

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every non-zero number, there exists a multiplicative inverse such that their product is one. For example, a × (1/a) = 1.

Tags

CCSS.3.OA.B.5

Front

Provide an example of the Associative Property in addition.

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Example: (2 + 3) + 4 = 2 + (3 + 4) = 9.

Tags

CCSS.1.OA.B.3

Front

Provide an example of the Commutative Property in multiplication.

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Example: 4 × 5 = 5 × 4 = 20.

Tags

CCSS.3.OA.B.5

Front

What is the difference between the Associative and Commutative Properties?

Back

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

Tags

CCSS.1.OA.B.3