Properties of Algebra

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 a × b = b × a.

Tags

CCSS.7.NS.A.1D

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the sum or product. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Tags

CCSS.7.NS.A.1D

Front

What is the Distributive Property?

Back

The Distributive Property states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. For example, a(b + c) = ab + ac.

Tags

CCSS.6.EE.A.3

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that any number multiplied by its reciprocal equals 1. For example, 5 × (1/5) = 1.

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that any number plus zero equals the number itself. For example, a + 0 = a.

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 the number itself. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that a number plus its opposite equals zero. For example, a + (-a) = 0.

Tags

CCSS.7.NS.A.1B

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Tags

CCSS.7.EE.A.1

Front

What is an example of the Commutative Property in addition?

Back

An example is: 3 + 4 = 4 + 3.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Associative Property in multiplication?

Back

An example is: (2 × 3) × 4 = 2 × (3 × 4).

Tags

CCSS.3.OA.B.5