Properties of Real Numbers

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What is the Additive Inverse?

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 5 is -5.

Tags

CCSS.7.NS.A.1B

Front

What is the Additive Identity?

Back

The Additive Identity is the number 0, because adding 0 to any number does not change its value. For example, a + 0 = a.

Tags

CCSS.7.NS.A.1B

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, because multiplying any number by 1 does not change its value. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is the value that, when multiplied by the original number, results in 1. For example, the Multiplicative Inverse of 4 is 1/4.

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 Additive Identity?

Back

An example of the Additive Identity is 7 + 0 = 7.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Multiplicative Identity?

Back

An example of the Multiplicative Identity is 9 × 1 = 9.

Tags

CCSS.3.OA.B.5