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 Commutative Property of Multiplication?

Back

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

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 the 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 the way in which numbers are grouped does not change the product. For example, (a × b) × c = a × (b × c).

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How does the Commutative Property apply to subtraction?

Back

The Commutative Property does not apply to subtraction. For example, a - b is not equal to b - a.

Front

How does the Commutative Property apply to division?

Back

The Commutative Property does not apply to division. For example, a ÷ b is not equal to b ÷ a.

Front

What is an example of the Associative Property of Multiplication?

Back

An example is (2 × 3) × 4 = 2 × (3 × 4), both equal 24.

Front

What is an example of the Distributive Property?

Back

An example is 3(4 + 5) = 3 × 4 + 3 × 5, which simplifies to 12 + 15 = 27.

Front

What is the identity element for addition?

Back

The identity element for addition is 0, because adding 0 to any number does not change its value (a + 0 = a).