Properties of Real Numbers

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 the 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 the product. For example, (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

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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 Additive Identity?

Back

The Additive Identity is the number 0, because adding 0 to any number does not change the value of that number. 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 the value of that number. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number is what you add to that number to get 0. For example, the additive inverse of 2 is -2.

Tags

CCSS.7.NS.A.1B

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is what you multiply by that number to get 1. For example, the multiplicative inverse of 2 is 1/2.

Tags

CCSS.7.NS.A.1B

Front

What does it mean to say that a number is rational?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Tags

CCSS.5.NBT.A.2