Properties of Real Numbers

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for any number a, there exists a number 1/a such that a ⋅ (1/a) = 1.

Front

Give an example of the Inverse Property of Multiplication.

Back

5 ⋅ 1/5 = 1.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that for any number a, a + 0 = a.

Front

Give an example of the Identity Property of Addition.

Back

a + 0 = a.

Front

What is the Additive Identity?

Back

The Additive Identity is the number 0, which when added to any number does not change the value of that number.

Front

Give an example of the Additive Identity.

Back

3 + 0 = 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: (a + b) + c = a + (b + c).

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: a + b = b + a.

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: (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c).

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: a ⋅ b = b ⋅ a.