Algebra 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.

Front

Use the Commutative Property to rewrite the expression: 3 + a

Back

a + 3

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 x 0 = 0.

Front

Which expression illustrates the Zero Property of Multiplication?

Back

5 x 0 = 0

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).

Front

Rewrite (9 x 6) x 5 using the Associative Property.

Back

9 x (6 x 5)

Front

Are the expressions 6 – (4 – 1) and (6 – 4) – 1 equivalent?

Back

No, these two expressions are not equivalent.

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.

Front

Provide an example of the Distributive Property.

Back

3(10 + 4) = 30 + 12.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.