Properties of Operations

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 56 x 1 = 56.

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. 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 their product. For example, x(yz) = (xy)z.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added 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 the order in which two numbers are multiplied does not change their product. For example, ab = ba.

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 individual products. For example, x(y + z) = xy + xz.

Front

Give an example of the Identity Property of Addition.

Back

An example of the Identity Property of Addition is a + 0 = a, meaning any number plus zero equals the number itself.

Front

What does the Distributive Property look like in an equation?

Back

An example of the Distributive Property in an equation is 3(4 + 5) = 3*4 + 3*5.

Front

What is the difference between the Associative and Commutative Properties?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers.

Front

What is an example of the Associative Property of Addition?

Back

An example is (2 + 3) + 4 = 2 + (3 + 4).