Algebraic Properties

Front

What is the Commutative Property?

Back

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

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property?

Back

The Identity Property states that adding zero to a number does not change the number (a + 0 = a) and multiplying a number by one does not change the number (a • 1 = a).

Tags

CCSS.1.OA.B.3

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 Inverse Property?

Back

The Inverse Property states that for every number a, there is an additive inverse (-a) such that a + (-a) = 0, and a multiplicative inverse (1/a) such that a • (1/a) = 1.

Tags

CCSS.7.NS.A.1B

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) and (ab)c = a(bc).

Tags

CCSS.7.NS.A.1D

Front

Example of Commutative Property: 7 + 3 = ?

Back

7 + 3 = 3 + 7 = 10.

Tags

CCSS.1.OA.B.3

Front

Example of Identity Property: 15 • 1 = ?

Back

15 • 1 = 15.

Tags

CCSS.3.OA.B.5

Front

Example of Distributive Property: 3(4 + 5) = ?

Back

3(4 + 5) = 3•4 + 3•5 = 12 + 15 = 27.

Tags

CCSS.3.OA.B.5

Front

Example of Inverse Property: 8 + ? = 0

Back

8 + (-8) = 0.

Tags

CCSS.7.NS.A.1B

Front

Example of Associative Property: (2 + 3) + 4 = ?

Back

(2 + 3) + 4 = 2 + (3 + 4) = 9.

Tags

CCSS.1.OA.B.3