Properties of Real Numbers

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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 Multiplication?

Back

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

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Tags

CCSS.7.NS.A.1B

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What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number a is 1/a, such that a × (1/a) = 1.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Tags

CCSS.6.EE.A.3

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every number a (except 0), there exists a number 1/a such that a × (1/a) = 1.

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 the sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the property of Zero in Multiplication?

Back

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

Tags

CCSS.3.OA.B.5