QQuestionMathematics
QuestionMathematics
Write the value 299,792,458 m/s in proper scientific notation to 4 significant figures.
A. 2.998×10
8
m/s
B. 2.997×10
8
m/s
C. 2.998×10
6
m/s
D. 2.997×10
6
m/s
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Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Identify the given number
- The number is 299,792,458 m/s
Step 3:: Determine significant figures
- To convert to scientific notation with 4 significant figures, we need to: 1) Identify the first 4 significant digits 2) Move the decimal point to create a number between 1 and 10 3) Adjust the exponent accordingly
Step 4:: Identify the first 4 significant digits
- The first 4 significant digits are 2997
Step 5:: Convert to scientific notation
- Rewrite the number as $$2.998 \times 10^{8}$$ m/s
- Note the decimal point placement - The 8 in the exponent represents moving the decimal 8 places left
Step 6:: Check significant figures
- $$2.998 \times 10^{8}$$ meets this requirement
- Verify that the number has exactly 4 significant figures
Final Answer
The key steps were identifying the significant digits, converting to scientific notation, and ensuring 4 significant figures were maintained.
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