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A Question 4 (1 point) Retake question \( \checkmark \) Saved \begin{tabular}{|l|}\hline Tisten \\ To the proper number of significant figures, find the number of yards in 58.725 \\ inches. \\ (1 yard \( =3 \) feet; 1 foot \( =12 \) inches) \\ Your Answer: \end{tabular} :

Ask by Whittaker Mcdonald. in the United States
Feb 24,2025

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Answer

The number of yards in 58.725 inches is 1.6313 yards.

Solution

We start by converting inches to yards. First, note that   1 yard = 3 feet  and  1 foot = 12 inches,   so 1 yard = 3 × 12 = 36 inches. Thus, the number of yards in 58.725 inches is   58.725 inches ÷ 36 inches/yard = 1.63125 yards. Since 58.725 has 5 significant figures (and the conversion factors are exact), we round our answer to 5 significant figures. Rounding 1.63125 to 5 significant figures gives   1.6313 yards. So, the final answer is 1.6313 yards.

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To convert inches to yards, first convert inches to feet by dividing by 12, and then convert feet to yards by dividing by 3. So, \(58.725 \, \text{inches} \div 12 = 4. odm. \, 85625 \, \text{feet}\) and \(4.85625 \, \text{feet} \div 3 = 1.61875 \, \text{yards}\). Since the original measurement (58.725) has five significant figures, your final answer should keep that precision: **1.619 yards.** When working with significant figures, remember that the final result should reflect the least number of significant figures in the measurements used. Here, the smallest count is four from the 58.725 inches, which rounds the final answer. It's a crucial step to ensure accuracy, especially in scientific calculations!

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