Properties of Real Numbers

Front

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, which, when added to any number, does not change the value of that number. For example, 7 + 0 = 7.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a × b = b × a.

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c).

Tags

CCSS.7.NS.A.1D

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, which, when multiplied by any number, does not change the value of that number. For example, 6 × 1 = 6.

Tags

CCSS.3.OA.B.5

Front

What is the Multiplicative Property of Zero?

Back

The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, 9 × 0 = 0.

Tags

CCSS.3.OA.B.5

Front

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.

Tags

CCSS.3.OA.B.5

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order of factors does not affect the product. For example, 4 × 5 = 5 × 4.

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way factors are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Tags

CCSS.3.OA.B.5

Front

What is an example of the Additive Inverse?

Back

For the number -8, the Additive Inverse is 8, because -8 + 8 = 0.

Tags

CCSS.7.NS.A.1B