Properties

Front

What is the Identity Property in mathematics?

Back

The Identity Property states that when you add zero to a number or multiply a number by one, the result is the original number. For example, 5 + 0 = 5 and 5 x 1 = 5.

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order in which you add or multiply numbers does not change the result. For example, a + b = b + a and a x b = b x a.

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 result. For example, (a + b) + c = a + (b + c) and (a x b) x c = a x (b x c).

Front

Rewrite 6(2x + 5) using the Distributive Property.

Back

6(2x + 5) = 12x + 30.

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

What is an example of the Identity Property of Addition?

Back

An example is 9 + 0 = 9.

Front

What is an example of the Identity Property of Multiplication?

Back

An example is 7 x 1 = 7.

Front

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

Back

(9 x 6) x 5 = 9 x (6 x 5).

Front

What does the Additive Inverse Property state?

Back

The Additive Inverse Property states that for every number a, there is a number -a such that a + (-a) = 0.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 4 = 4 + 3.