Properties of Operations

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, 3 × 4 = 4 × 3.

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 7 × 1 = 7.

Front

What is the Zero Property of Multiplication?

Back

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

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that a number plus its opposite equals zero. For example, 5 + (-5) = 0.

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that a number multiplied by its reciprocal equals 1. For example, 4 × (1/4) = 1.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products. For example, a(b + c) = ab + ac.

Front

Simplify: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify: 14(b – 10)

Back

14b – 140

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.