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8. mary wanted to estimate how many sheets of paper she had left. she k…

Question

  1. mary wanted to estimate how many sheets of paper she had left. she knew that each sheet was about 0.1 mm thick. her pack measured 2 cm thick. which is the best estimate of the number of sheets of paper in marys pack? a 50 b 100 c 150 d 200

Explanation:

Step1: Convert units to be consistent

First, convert the thickness of the pack from centimeters to millimeters. We know that \(1\space\text{cm} = 10\space\text{mm}\), so \(2\space\text{cm}=2\times10 = 20\space\text{mm}\).

Step2: Calculate the number of sheets

To find the number of sheets, divide the total thickness of the pack by the thickness of one sheet. The formula is \(\text{Number of sheets}=\frac{\text{Total thickness of pack}}{\text{Thickness of one sheet}}\). Substituting the values, we get \(\frac{20\space\text{mm}}{0.1\space\text{mm per sheet}} = 200\) sheets. Wait, no, wait. Wait, 2 cm is 20 mm, each sheet is 0.1 mm. So number of sheets is \(20\div0.1 = 200\)? Wait, but let's check again. Wait, 0.1 mm per sheet, so 10 sheets would be 1 mm (since \(10\times0.1 = 1\space\text{mm}\)). Then 20 mm (which is 2 cm) would be \(20\times10 = 200\) sheets? Wait, but maybe I made a mistake. Wait, 0.1 mm per sheet, so to get 1 mm, it's 10 sheets. Then 2 cm is 20 mm, so 20 mm divided by 0.1 mm per sheet is \(20\div0.1 = 200\). So the number of sheets is 200.

Answer:

D. 200