Math Problem Statement

Convert 8.54 kilobytes (KB) to bytes (B) and express the result in scientific notation. [1 kilobyte (KB) = 1,024 bytes (B)]

Solution

To solve this problem, we need to convert 8.54 kilobytes (KB) to bytes (B) using the given conversion rate, then express the result in scientific notation.

Solution:

  1. Conversion Factor:
    1KB=1024B1 \, \text{KB} = 1024 \, \text{B}

  2. Calculate the Bytes: 8.54KB×1024B/KB=8744.96B8.54 \, \text{KB} \times 1024 \, \text{B/KB} = 8744.96 \, \text{B}

  3. Express in Scientific Notation: To express 8744.96 in scientific notation, we write it as: 8.74496×103B8.74496 \times 10^3 \, \text{B} Rounding to three significant figures, we get: 8.74×103B8.74 \times 10^3 \, \text{B}

Final Answer:

8.74×103B8.74 \times 10^3 \, \text{B}

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Here are 5 related questions you might find useful:

  1. How would you convert 12 KB to bytes and express it in scientific notation?
  2. What is the value of 10.5 KB in bytes, using

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Scientific Notation

Formulas

Bytes = Kilobytes × 1024

Theorems

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Suitable Grade Level

Grade 9-10