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Each page of a top-secret report on aliens requires 
2KB of space in digital format.
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 
4*10^(6)KB ?
Write your answer in scientific notation, and round to one decimal place.
pages

Each page of a top-secret report on aliens requires 2 KB 2 \mathrm{~KB} of space in digital format.\newlineWhat is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4106 KB 4 \cdot 10^{6} \mathrm{~KB} ?\newlineWrite your answer in scientific notation, and round to one decimal place.\newlinepages

Full solution

Q. Each page of a top-secret report on aliens requires 2 KB 2 \mathrm{~KB} of space in digital format.\newlineWhat is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4106 KB 4 \cdot 10^{6} \mathrm{~KB} ?\newlineWrite your answer in scientific notation, and round to one decimal place.\newlinepages
  1. Calculate Total Storage Capacity: Determine the total storage capacity of the USB drive. The USB drive holds 4×1064\times10^6 KB.
  2. Determine Storage Requirement: Determine the storage requirement for one page of the report. Each page requires 2KB2\,\text{KB}.
  3. Calculate Maximum Number of Pages: Calculate the maximum number of pages that can be stored on the USB drive. Divide the total storage capacity of the USB drive by the storage requirement for one page. Maximum number of pages = (4×106 KB)/(2KB/page)(4\times10^6 \text{ KB}) / (2\text{KB/page})
  4. Perform Division: Perform the division to find the maximum number of pages.\newlineMaximum number of pages = (4×106 KB)/(2KB/page)=2×106 pages(4\times10^6 \text{ KB}) / (2\text{KB/page}) = 2\times10^6 \text{ pages}
  5. Write Answer in Scientific Notation: Write the answer in scientific notation, rounded to one decimal place.\newlineThe maximum number of pages is already in scientific notation, and there is no need for rounding since it is an exact number.

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