The library has 22 shelves that hold 47 books each. Which choice shows the correct way to use the breaking apart method to find the total number of books?

Question

(1 point)
Responses

(22+40)×(22+7)
22 + 40 × 22 + 7

22×(40×7)
22 × 40 × 7

(22×40)+(22×7)
22 × 40 + 22 × 7

22+(40×7)
22 + 40 × 7
Question 2
Part 2
Which choice shows how to correctly round to check if your answer is reasonable?

(1 point)
Responses

20×40
20 × 40

20×50
20 × 50

30×40
30 × 40

22×50
22 × 50
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Answer 1

For Question 1, the breaking apart method involves decomposing one of the numbers (in this case, 47) into a more manageable sum to simplify multiplication. The best choice that represents this is:

(22 × 40) + (22 × 7)

This correctly breaks apart 47 into 40 and 7 and then applies distribution.

For Question 2, when rounding to check if your answer is reasonable, you want to round 22 to the nearest ten and 47 to the nearest ten. Rounding 22 to 20 or 30 is acceptable, and rounding 47 to 50 makes sense as well.

The choice that shows a good approximation for checking is:

20 × 50

This is a reasonable estimate since it uses rounded numbers close to the actual values.