Commutative/Associative Property

Front

What is the Commutative Property?

Back

The Commutative Property states that changing the order of numbers in addition or multiplication does not change the result. For example, a + b = b + a and a × b = b × a.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

Example of Commutative Property of Addition: 4 + 5 = ?

Back

5 + 4 = 9.

Front

Example of Commutative Property of Multiplication: 6 × 2 = ?

Back

2 × 6 = 12.

Front

Which property is illustrated by the equation (3 + 7) + 2 = 3 + (7 + 2)?

Back

Associative Property of Addition.

Front

Which property is illustrated by the equation 2 × (4 × 5) = (2 × 4) × 5?

Back

Associative Property of Multiplication.

Front

If 8 + 0 = 8, what property is shown?

Back

Identity Property of Addition.

Front

If 7 × 1 = 7, what property is shown?

Back

Identity Property of Multiplication.

Front

What does the Commutative Property allow us to do with numbers?

Back

It allows us to rearrange the numbers in addition or multiplication without changing the result.

Front

What does the Associative Property allow us to do with numbers?

Back

It allows us to regroup numbers in addition or multiplication without changing the result.