Properties of Operations

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that when you add 0 to any number, the result is that number. For example, 5 + 0 = 5.

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for every number, there is another number that, when added together, equals 0. For example, the additive inverse of 8 is -8 because 8 + (-8) = 0.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the numbers you are adding does not change the sum. For example, 3 + 5 = 5 + 3.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the numbers you are multiplying does not change the product. For example, 4 x 6 = 6 x 4.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products. For example, a(b + c) = ab + ac.

Front

What is the Multiplicative Identity Property?

Back

The Multiplicative Identity Property states that any number multiplied by 1 remains the same. For example, 7 x 1 = 7.

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for every number, there is another number that, when multiplied together, equals 1. For example, the multiplicative inverse of 5 is 1/5 because 5 x (1/5) = 1.

Front

What is the property illustrated by 5 + 0 = 5?

Back

This illustrates the Additive Identity Property.