Algebraic properties

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 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 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

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 identity element for addition?

Back

The identity element for addition is 0, because adding 0 to any number does not change the number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

Front

What is the identity element for multiplication?

Back

The identity element for multiplication is 1, because multiplying any number by 1 does not change the number. For example, a • 1 = a.

Tags

CCSS.7.NS.A.2A

Front

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

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every non-zero number a, there exists a number 1/a such that a • (1/a) = 1.

Tags

CCSS.3.OA.B.5

Front

How does the Distributive Property apply to subtraction?

Back

The Distributive Property can also apply to subtraction: a(b - c) = ab - ac.

Tags

CCSS.6.EE.A.3