Associative property of addition and multiplication

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped when adding does not change the 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 when multiplying does not change the product. For example, (a × b) × c = a × (b × c).

Front

Using the associative property, how can you rewrite (3 + 4) + 5?

Back

You can rewrite it as 3 + (4 + 5).

Front

Using the associative property, how can you rewrite (2 × 3) × 4?

Back

You can rewrite it as 2 × (3 × 4).

Front

What is the result of (6 + 2) + 3?

Back

The result is 11, and it can also be calculated as 6 + (2 + 3) = 11.

Front

What is the result of (5 × 2) × 3?

Back

The result is 30, and it can also be calculated as 5 × (2 × 3) = 30.

Front

If (a + b) + c = 20, what can you say about a + (b + c)?

Back

a + (b + c) will also equal 20 due to the associative property of addition.

Front

If (x × y) × z = 24, what can you say about x × (y × z)?

Back

x × (y × z) will also equal 24 due to the associative property of multiplication.

Front

What is the missing number in (2 + ?) + 5 = 10?

Back

The missing number is 3, because (2 + 3) + 5 = 10.

Front

What is the missing number in (3 × ?) × 4 = 24?

Back

The missing number is 2, because (3 × 2) × 4 = 24.