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A stack of 500 pieces of paper is 1.875 inches tall.

a. Diego guesses that each piece of paper is 0.015 inches thick. Explain how you know that Diego's answer is not correct.

b. Compute the thickness of each piece of paper. Show your reasoning.

Answer :

Let's solve the problem step by step.

a. Diego guesses that each piece of paper is 0.015 inches thick. To check if Diego's guess is correct, we can do some calculations.

We know that a stack of 500 pieces of paper is 1.875 inches tall. So, to find the thickness of each piece of paper, we need to divide the total height by the number of pieces:

[tex]\[ \text{Thickness of each piece} = \frac{\text{Total Height}}{\text{Total Papers}} = \frac{1.875}{500} \][/tex]

b. Let's compute this division:

[tex]\[ \frac{1.875}{500} = 0.00375 \][/tex]

So, the thickness of each piece of paper is 0.00375 inches.

This means Diego's guess of 0.015 inches is incorrect because 0.015 inches is greater than the calculated thickness of 0.00375 inches.

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