Retest - Flashcard 4.2 Algebraic Properties and Exprressions

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 x 4 = 4 x 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, (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 x 1 = 7.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication.

Front

What is the Multiplication Property of One?

Back

The Multiplication Property of One states that any number multiplied by 1 equals the number itself. For example, 5 x 1 = 5.

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, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Addition Property of Zero?

Back

The Addition Property of Zero states that adding zero to any number does not change the number. For example, 8 + 0 = 8.

Front

What is an equivalent expression using the Associative Property?

Back

Using the Associative Property, 7 + (8 + 9) can be rewritten as (7 + 8) + 9.

Front

What is the first step in solving (4 - 2) x 9 + 7?

Back

The first step is to perform the subtraction: (4 - 2) = 2.

Front

What is the second step in solving (4 - 2) x 9 + 7?

Back

The second step is to perform the multiplication: 2 x 9 = 18.