Properties of Operations

Front

What is the Distributive Property of Multiplication?

Back

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

Front

Provide an example of the Distributive Property of Multiplication.

Back

Example: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property states that (a * b) * c = a * (b * c). It shows that the way numbers are grouped in multiplication does not change the product.

Front

Provide an example of the Associative Property of Multiplication.

Back

Example: (2 * 3) * 4 = 2 * (3 * 4) = 6 * 4 = 24.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains unchanged. a * 1 = a.

Front

Provide an example of the Identity Property of Multiplication.

Back

Example: 7 * 1 = 7.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property states that a + b = b + a. It shows that the order of addition does not affect the sum.

Front

Provide an example of the Commutative Property of Addition.

Back

Example: 5 + 3 = 3 + 5 = 8.

Front

What is the Identity Property of Addition?

Back

The Identity Property states that any number plus 0 remains unchanged. a + 0 = a.

Front

Provide an example of the Identity Property of Addition.

Back

Example: 9 + 0 = 9.