Properties of Operations

Front

What is the Additive Inverse?

Back

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

Front

What property is demonstrated by the equation 10 + 4 = 4 + 10?

Back

This demonstrates the Commutative Property of Addition.

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity states that any number u multiplied by 1 equals u, or u(1) = u.

Front

What does the Associative Property of Multiplication state?

Back

The Associative Property of Multiplication states that (xy)z = x(yz).

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus 0 equals the number itself, or a + 0 = a.

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, or a + b = b + a.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

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, or (a + b) + c = a + (b + c).

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number u is 1/u, such that u * (1/u) = 1.

Front

What is an example of the Distributive Property?

Back

An example is 3(4 + 5) = 3*4 + 3*5.