Associative, Commutative, and Distributive Properties

Front

What is the Multiplication Property of One?

Back

The Multiplication Property of One states that the product of any number and one is that number itself. For example, 5 x 1 = 5.

Tags

CCSS.3.OA.B.5

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What does the Commutative Property of Addition state?

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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 + 4 = 4 + 3.

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property of Addition?

Back

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

Tags

CCSS.1.OA.B.3

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What is the Distributive Property?

Back

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

Tags

CCSS.3.OA.B.5

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What is the Multiplication Property of Zero?

Back

The Multiplication Property of Zero states that any number multiplied by zero equals zero. For example, 7 x 0 = 0.

Tags

CCSS.3.OA.B.5

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number a, there is a number 1/a such that a x (1/a) = 1.

Tags

CCSS.5.NBT.B.7

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What is the Symmetric Property?

Back

The Symmetric Property states that if a = b, then b = a. It shows that equality can be reversed.

Tags

CCSS.7.EE.A.1

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What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. It shows a relationship between three quantities.

Tags

CCSS.7.EE.A.1

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What is the Reflexive Property?

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The Reflexive Property states that any number is equal to itself. For example, a = a.

Tags

CCSS.7.EE.A.1

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What is an example of the Commutative Property of Multiplication?

Back

An example of the Commutative Property of Multiplication is 6 x 2 = 2 x 6.

Tags

CCSS.3.OA.B.5