Properties of Operations

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number x is 1/x, such that x(1/x) = 1, when x is not equal to 0.

Front

What does the Commutative Property of Multiplication state?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 5 x 6 = 6 x 5.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 100 + 0 = 100.

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number q is -q, such that q + (-q) = 0.

Front

What is the Additive Identity?

Back

The Additive Identity is the number 0, which when added to any number does not change the number. For example, u + 0 = u.

Front

What does the Associative Property of Addition state?

Back

The Associative Property of Addition states that the way numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

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, a + b = b + a.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way numbers are grouped does not change their product. For example, (a x b) x c = a x (b x c).

Front

What is an example of the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, which when multiplied by any number does not change the number. For example, 7 x 1 = 7.