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Questions and Answers
A student stacks 300 sheets of paper, creating a pile 3 inches tall. What calculation determines the thickness of a single sheet of paper?
A student stacks 300 sheets of paper, creating a pile 3 inches tall. What calculation determines the thickness of a single sheet of paper?
- Dividing 3 by 300 to find the single sheet thickness. (correct)
- Dividing 300 by 3 to find the total length.
- Multiplying 300 by 3 to find the total sheet area.
- Adding 300 and 3 to find the total sheet height.
In the scenario described, why is dividing the number of paper sheets by the height of the stack (300 / 3) an incorrect approach to find the thickness of each paper sheet?
In the scenario described, why is dividing the number of paper sheets by the height of the stack (300 / 3) an incorrect approach to find the thickness of each paper sheet?
- The resulting number would be much larger than the initial stack height, so the units would be inaccurate for expressing thickness. (correct)
- It gives the total volume of the paper sheets.
- It yields a result in square inches, measuring area, not thickness.
- It calculates the number of sheets needed to reach a specific stack height, not individual thickness.
What is the result of dividing 3 by 300, and how does this relate to finding the thickness of each paper sheet in the stack?
What is the result of dividing 3 by 300, and how does this relate to finding the thickness of each paper sheet in the stack?
- The resulting value is 100, and multiplying that number by the number of sheets isolates the thickness of 1 sheet.
- The result is 0.01, which represents the thickness of a single paper sheet in inches. (correct)
- The result is 0.001, and represents the area of the sheets.
- The result is 900, which represents the total length.
The student mentions being upset about their grade dropping from 98% to 97% despite finding the questions "somewhat easy." What does this suggest about the student's likely reason for the error?
The student mentions being upset about their grade dropping from 98% to 97% despite finding the questions "somewhat easy." What does this suggest about the student's likely reason for the error?
What kind of real-world applications might involve calculations similar to determining the thickness of a sheet of paper within a stack?
What kind of real-world applications might involve calculations similar to determining the thickness of a sheet of paper within a stack?
Flashcards
What is the dividend?
What is the dividend?
The number being divided.
What is the divisor?
What is the divisor?
The number that divides the dividend.
What is the quotient?
What is the quotient?
The result of dividing one number by another.
What is a decimal?
What is a decimal?
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What does 'divide' mean?
What does 'divide' mean?
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Study Notes
- Got a 9.5 on an exam (out of 10).
- Grade dropped from A+ (98%) to A+ (97%).
- The individual found a question annoying, which asked about the thickness of a single sheet of paper in a stack.
- There are 300 pieces of paper.
- The whole stack of paper is 3 inches tall.
- Dividing 300 by 3 would equal 100, but this is incorrect because 3 inches is way smaller than 100 inches.
- Dividing 3 by 300 equals 0.01, which makes sense, and 0.01 x 300 = 3, making 0.01 the divisor.
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Description
Explanation of a math problem involving calculating the thickness of a single sheet of paper within a stack. The problem highlights the importance of unit conversion (inches) and correct division to arrive at a reasonable answer. Understanding the relationship between total height, number of sheets, and individual sheet thickness is key.
