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.
- Total thickness of the pile: 5.2 cm
- 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:
\[ \boxed{0.10 \text{ mm}} \]
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