An online book store has 182 boxes of books in its warehouse. Each box has 32 books.

Question

Which equation represents the best estimate of the total number of books in the warehouse?



(1 point)
Responses

180 × 30 = 5,400
180 × 30 = 5,400

180 × 40 = 7,200
180 × 40 = 7,200

190 × 40 = 7,600
190 × 40 = 7,600

200 × 40 = 8,000
200 × 40 = 8,000
Question 2
The best estimate in the above question is an(1 point)
Responses

overestimate
overestimate

underestimate
underestimate
Question 3
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
180 Response area 182,

and

30 Response area 32,

so

180 x 30 Response area 182 x 32.

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Answer 1

Question 1:

To find the best estimate of the total number of books, we can round the numbers in a way that makes multiplication easier.

The given numbers:

• 182 (boxes) can be rounded to 180.
• 32 (books per box) can be rounded to 30.

So, the best estimate equation would be: \[ 180 \times 30 \] Thus, the correct response is:

• 180 × 30 = 5,400

Question 2:

The calculation, \( 180 \times 30 \), provides an estimate for the actual total, which is \( 182 \times 32 \). The actual total is \( 5,824 \) (because \( 182 \times 32 = 5,824 \)). The estimate \( 5,400 \) is less than the actual total, making it an underestimation.

Therefore, the best estimate in the above question is:

• underestimate

Question 3:

The sentence should read:

180 is close to 182,

and

30 is close to 32,

so

180 x 30 is a good estimate for 182 x 32.

If we summarize correctly:

• 180 is in the response area for 182.
• 30 is in the response area for 32.
• 180 x 30 is in the response area for 182 x 32.

Feel free to rearrange those responses as needed in your interface.