Properties of Real Numbers

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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 by distributing the multiplication to each addend.

Tags

CCSS.3.OA.B.5

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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 unchanged. For example, 1 × x = x.

Tags

CCSS.3.OA.B.5

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What is the Additive Inverse of a number?

Back

The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the Additive Inverse of -7 is 7.

Tags

CCSS.7.NS.A.1B

Front

What is the Multiplicative Inverse of a number?

Back

The Multiplicative Inverse of a number is the value that, when multiplied by the original number, results in one. For example, the Multiplicative Inverse of 5 is 1/5.

Tags

CCSS.7.NS.A.1B

Front

What is the Commutative Property of Addition?

Back

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

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Multiplication?

Back

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

Tags

CCSS.3.OA.B.5

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, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

Front

What is an example of the Distributive Property?

Back

An example of the Distributive Property is 3(4 + 5) = 3×4 + 3×5, which simplifies to 12 + 15 = 27.

Tags

CCSS.3.OA.B.5

Front

If a number is multiplied by its Multiplicative Inverse, what is the result?

Back

The result is 1. For example, 5 × (1/5) = 1.

Tags

CCSS.6.NS.B.4