To the proper number of significant figures, calculate: \( 106.58 \mathrm{sec}-12.183 \mathrm{sec} \)
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The Deep Dive
When you perform the subtraction \( 106.58 \mathrm{sec} - 12.183 \mathrm{sec} \), you first calculate the result: \( 94.397 \mathrm{sec} \). However, we must consider significant figures. The number with the least decimal places in your original numbers is \( 106.58 \mathrm{sec} \), which has two decimal places. Therefore, you should round \( 94.397 \mathrm{sec} \) to \( 94.40 \mathrm{sec} \) to reflect the correct number of significant figures. Now, wasn’t that a fun math ride? Every time we deal with significant figures, it’s like dressing numbers for a party. You wouldn’t want your numbers to show up in mismatched clothes—make sure they're looking sharp and stylish! Keep practicing, and soon it’ll be second nature!