Ruiz Luna
09/13/2024 · Primary School
L. Atack of 500 pieces of paper is 1.875 nches tall. a. Diego guosses that each piece of paper is O.O15, inches thick. Explain how you know that Diego's answer is not correct. Compute the thickness of each of paper. Show your reasoning.
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Step-by-step Solution
Given that an attack of 500 pieces of paper is 1.875 inches tall, we can calculate the thickness of each piece of paper by dividing the total height by the number of pieces.
Let's denote the thickness of each piece of paper as \( t \) inches.
The total height of the attack is 1.875 inches, and there are 500 pieces of paper. Therefore, the thickness of each piece of paper can be calculated as:
\[ t = \frac{1.875}{500} \]
Now, let's calculate the thickness of each piece of paper.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1.875}{500}\)
- step1: Convert the expressions:
\(\frac{\frac{15}{8}}{500}\)
- step2: Multiply by the reciprocal:
\(\frac{15}{8}\times \frac{1}{500}\)
- step3: Reduce the numbers:
\(\frac{3}{8}\times \frac{1}{100}\)
- step4: Multiply the fractions:
\(\frac{3}{8\times 100}\)
- step5: Multiply:
\(\frac{3}{800}\)
The thickness of each piece of paper is 0.00375 inches.
Diego's guess that each piece of paper is 0.015 inches thick is not correct because the calculated thickness is 0.00375 inches, which is less than Diego's guess.
Quick Answer
The thickness of each piece of paper is 0.00375 inches, not 0.015 inches as Diego guessed.
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