Part 1
To find the total number of books using the breaking apart method, we can break the number of books held by each shelf (47) into more manageable parts. We can break 47 into 40 and 7.
The correct expression that uses the breaking apart method is:
(22 × 40) + (22 × 7)
This can be understood as first calculating the total number of books from the 40 part and then adding the total from the 7 part.
Part 2
To check if the answer is reasonable, we want to round one of the numbers to make the multiplication simpler.
The most logical choice in this context is to round the number of books per shelf (47) to 50 since that round number makes calculations easier.
The correct rounding to check if the answer is reasonable is:
22 × 50
This way, you round the number of books per shelf, making it easier to calculate a rough estimate of the total.