Properties of Operation

Front

What is the Associative Property of Addition?

Back

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

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that changing the grouping of numbers does not change their product. For example, (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 numbers does not change their sum. For example, a + b = b + a.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the numbers does not change their product. For example, a × b = b × a.

Front

What is the Identity Property of Addition?

Back

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

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying a number by one does not change the number. For example, a × 1 = a.

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of a is -a, since a + (-a) = 0.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

Front

Provide an example of the Associative Property of Addition.

Back

Example: 2 + (3 + 4) = (2 + 3) + 4.

Front

Provide an example of the Commutative Property of Multiplication.

Back

Example: 6 × 4 = 4 × 6.