Associative Property

Front

What is the Associative Property?

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) and (a × b) × c = a × (b × c).

Front

Give an example of the Associative Property of Addition.

Back

For example, 2 + (3 + 4) = (2 + 3) + 4. Both expressions equal 9.

Front

Give an example of the Associative Property of Multiplication.

Back

For example, 5 × (2 × 3) = (5 × 2) × 3. Both expressions equal 30.

Front

What is the result of 5 × (2 × 9)?

Back

(5 × 2) × 9 = 10 × 9 = 90.

Front

What is the result of 9 + (3 + 4)?

Back

(9 + 3) + 4 = 12 + 4 = 16.

Front

If 5 × (__ × 9) = (5 × 8) × 9, what is the missing number?

Back

The missing number is 8.

Front

If 4 + (____ + 5) = (4 + 7) + 5, what is the missing number?

Back

The missing number is 7.

Front

Which equation illustrates the Associative Law of Addition?

Back

3 + (2 + 4) = (3 + 2) + 4.

Front

Which equation illustrates the Associative Law of Multiplication?

Back

2 × (3 × 4) = (2 × 3) × 4.

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.