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Answer :
Certainly! Let's go through the problem step by step.
1. Understanding Diego's Guess:
- Diego thinks each piece of paper is 0.015 inches thick. To check Diego’s guess, we multiply the thickness he assumes (0.015 inches) by the total number of pieces of paper (500).
- If you multiply 0.015 inches by 500 pieces of paper, the result is 7.5 inches. However, the stack's actual height is 1.875 inches, so Diego's guess is not correct because his calculation would result in a stack much taller than 1.875 inches.
2. Calculating the Actual Thickness:
- To find the actual thickness of each piece of paper, we need to divide the total height of the stack by the number of pieces of paper.
- The stack is 1.875 inches tall and contains 500 pieces of paper.
- So, we perform the division: [tex]\( \frac{1.875}{500} \)[/tex].
- This gives us the thickness of each piece of paper.
3. Final Result:
- After dividing, you find that each piece of paper is 0.00375 inches thick.
Therefore, the thickness of each piece of paper in the stack is 0.00375 inches.
1. Understanding Diego's Guess:
- Diego thinks each piece of paper is 0.015 inches thick. To check Diego’s guess, we multiply the thickness he assumes (0.015 inches) by the total number of pieces of paper (500).
- If you multiply 0.015 inches by 500 pieces of paper, the result is 7.5 inches. However, the stack's actual height is 1.875 inches, so Diego's guess is not correct because his calculation would result in a stack much taller than 1.875 inches.
2. Calculating the Actual Thickness:
- To find the actual thickness of each piece of paper, we need to divide the total height of the stack by the number of pieces of paper.
- The stack is 1.875 inches tall and contains 500 pieces of paper.
- So, we perform the division: [tex]\( \frac{1.875}{500} \)[/tex].
- This gives us the thickness of each piece of paper.
3. Final Result:
- After dividing, you find that each piece of paper is 0.00375 inches thick.
Therefore, the thickness of each piece of paper in the stack is 0.00375 inches.
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