Properties of Operations

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, 6 * 7 = 7 * 6.

Front

What does the Associative Property state?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (A + B) + C = A + (B + C).

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that the sum of any number and zero is that number. For example, 9 + 0 = 9.

Front

Explain the Associative Property of Multiplication.

Back

The Associative Property of Multiplication states that changing the grouping of the factors does not change the product. For example, (5 x 7) x 3 = 5 x (7 x 3).

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, 5(8 + 7) = (5 * 8) + (5 * 7).

Front

What is the difference between the Commutative and Associative Properties?

Back

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

Front

Can you give an example of the Commutative Property of Addition?

Back

Yes, an example of the Commutative Property of Addition is: 3 + 5 = 5 + 3.

Front

What is the significance of the Additive Identity Property in mathematics?

Back

The Additive Identity Property is significant because it shows that zero is a neutral element in addition, meaning it does not affect the value of other numbers.

Front

Provide an example of the Associative Property of Addition.

Back

An example of the Associative Property of Addition is: (2 + 3) + 4 = 2 + (3 + 4).

Front

What does the Distributive Property allow you to do in algebra?

Back

The Distributive Property allows you to multiply a single term by each term inside a set of parentheses.