Middle School

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A stack of 500 sheets of paper is 1.875 inches tall. Diego guesses that each piece of paper is 0.015 inches thick. Explain how you know Diego is incorrect.

Answer :

The reason that Diego is incorrect is;

Thickness of each paper is 0.00375 inches

We are given that;

Number of sheets of paper per stack = 500 sheets

Height of a stack of papers = 1.875 inches

Thus;

To get the the thickness of each paper means that we have to divide the height of the stack by the number of sheets in the paper.

Thus;

Thickness of each paper = 1.875/500

Thickness of each paper = 0.00375 inches

Thus, Diego's thickness of 0.015 inches is incorrect.

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Rewritten by : Barada

If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

1.875/1000 = 0.001875

Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.