Question

The thickness of a pile of 500 pieces of paper is 5.2cm. Estimate the thickness is a piece of paper correct to the nearest 0.01mm

Answer 1

To estimate the thickness of a single piece of paper, we can divide the total thickness of the pile by the number of pieces of paper.

1. Total thickness of the pile: 5.2 cm
2. Number of pieces of paper: 500

First, convert the total thickness from centimeters to millimeters (since the final answer should be in millimeters):

- 5.2 cm = 5.2 × 10 mm = 52 mm

Now, divide the total thickness by the number of pieces:

\[
\text{Thickness of one piece of paper} = \frac{52 \text{ mm}}{500}
\]

Calculating this gives:

\[
\text{Thickness of one piece of paper} = 0.104 \text{ mm}
\]

Now, we will round this to the nearest 0.01 mm:

- 0.104 mm rounds to 0.10 mm (since the second digit after the decimal is a 4, which is less than 5).

Thus, the estimated thickness of a single piece of paper is:

\[
\boxed{0.10 \text{ mm}}
\]