QQuestionMathematics
QuestionMathematics
Given that 1 in. = 2.54 cm exactly, indicate the appropriate conversion factor to convert 12.4 in. to centimeters.
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Answer
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Step 1:I'll solve this problem following the specified LaTeX and formatting guidelines:
Step 2:: Identify the Conversion Factor
\frac{2.54 \mathrm{cm}}{1 \mathrm{in.}}
The given information states that 1 in. = 2.54 cm exactly. This means we can create a conversion factor:
Step 3:: Set Up the Conversion Calculation
12.4 \mathrm{in.} \times \frac{2.54 \mathrm{cm}}{1 \mathrm{in.}}
To convert 12.4 in. to centimeters, we'll multiply the given length by the conversion factor:
Step 4:: Calculate the Result
12.4 \times 2.54 = 31.5 \mathrm{cm}
Final Answer
Key Points: - The conversion factor is exactly \frac{2.54 \mathrm{cm}}{1 \mathrm{in.}} - Multiplying the original length by this factor gives the equivalent length in centimeters - The result is precise to the number of significant figures in the original measurement
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