Properties of Operations Flashcard

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, 4 + 5 = 5 + 4 and 3 x 7 = 7 x 3.

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that adding zero to any number does not change the value of that number. For example, 5 + 0 = 5.

Front

What is an example of the Additive Identity Property?

Back

An example is 9 + 0 = 9.

Front

Which equation is NOT an example of the Additive Identity Property?

Back

1 + 1 = 2 is NOT an example of the Additive Identity Property.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What does the Additive Inverse Property state?

Back

The Additive Inverse Property states that for every number, there is another number that, when added together, equals zero. For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

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 x 4 = 4 x 6.

Front

What is an example of the Commutative Property of Addition?

Back

An example is 7 + 2 = 2 + 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

What does it mean to have parentheses in addition or multiplication?

Back

Having parentheses in addition or multiplication indicates which operations should be performed first. For example, in (2 + 3) x 4, you add 2 and 3 first.