Questions: Fill in the blank, rounding the result to exactly three significant digits when necessary. (Use 33 cm= in

Fill in the blank, rounding the result to exactly three significant digits when necessary. (Use 33 cm= in
Transcript text: Fill in the blank, rounding the result to exactly three significant digits when necessary. (Use $33 \mathrm{~cm}=$ $\square$ in
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Solution

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Solution Steps

Step 1: Understand the conversion factor

The conversion factor between centimeters and inches is \(1 \, \text{in} = 2.54 \, \text{cm}\).

Step 2: Set up the conversion equation

To convert \(33 \, \text{cm}\) to inches, divide by the conversion factor: \[ 33 \, \text{cm} = \frac{33}{2.54} \, \text{in}. \]

Step 3: Perform the calculation

Calculate the value: \[ \frac{33}{2.54} \approx 12.9921 \, \text{in}. \]

Step 4: Round to three significant digits

Round \(12.9921\) to three significant digits: \[ 12.9921 \approx 13.0 \, \text{in}. \]

Final Answer

\(\boxed{13.0 \, \text{in}}\)

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