Properties of Real Numbers

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. For example, a + (b + c) = (a + b) + c.

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 single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

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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 because 5 + (-5) = 0.

Tags

CCSS.7.NS.A.1B

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What is the Property of Zero?

Back

Tags

CCSS.3.OA.B.5

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for any non-zero number a, there exists a number b such that a * b = 1. For example, the inverse of 12 is 1/12 because 12 * 1/12 = 1.

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 value of that number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.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 value of that number. For example, a * 1 = a.

Tags

CCSS.3.OA.B.5

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 Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. For example, a(bc) = (ab)c.

Tags

CCSS.3.OA.B.5