Properties of Algebra

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) and (ab)c = a(bc).

Tags

CCSS.7.NS.A.1D

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?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, a + b = b + a and ab = ba.

Tags

CCSS.1.OA.B.3

Front

What is the Multiplicative Identity Property?

Back

The Multiplicative Identity Property states that any number multiplied by one equals itself. For example, 7 × 1 = 7.

Tags

CCSS.3.OA.B.5

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property 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 Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for every number a (except zero), there exists a number 1/a such that a × (1/a) = 1.

Tags

CCSS.7.NS.A.1B

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 5 × 0 = 0.

Tags

CCSS.3.OA.B.5

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. It is often used in equations.

Tags

CCSS.7.EE.A.1

Front

What is an example of the Associative Property in addition?

Back

An example is (2 + 3) + 4 = 2 + (3 + 4). Both equal 9.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Commutative Property in multiplication?

Back

An example is 4 × 5 = 5 × 4. Both equal 20.

Tags

CCSS.3.OA.B.5