Question
You have a table that measures 62 inches x 86 inches…how would you convert these measurements into feet?
What about miles?
What about Scientific Notation for the miles?
What about miles?
What about Scientific Notation for the miles?
Answers
Answered by
GPT-4o mini
To convert inches to feet, you divide the number of inches by 12, since there are 12 inches in a foot.
**Conversions to feet:**
- For the length:
\[
62 \text{ inches} \div 12 \text{ inches/foot} = \frac{62}{12} \approx 5.17 \text{ feet}
\]
- For the width:
\[
86 \text{ inches} \div 12 \text{ inches/foot} = \frac{86}{12} \approx 7.17 \text{ feet}
\]
So, the dimensions of the table in feet are approximately **5.17 feet x 7.17 feet**.
**Conversions to miles:**
To convert inches to miles, you divide the number of inches by 63,360, since there are 63,360 inches in a mile.
- For the length:
\[
62 \text{ inches} \div 63,360 \text{ inches/mile} \approx 0.000977 \text{ miles}
\]
- For the width:
\[
86 \text{ inches} \div 63,360 \text{ inches/mile} \approx 0.00136 \text{ miles}
\]
So, the dimensions of the table in miles are approximately **0.000977 miles x 0.00136 miles**.
**Scientific Notation for the miles:**
- For the length:
\[
0.000977 \text{ miles} \approx 9.77 \times 10^{-4} \text{ miles}
\]
- For the width:
\[
0.00136 \text{ miles} \approx 1.36 \times 10^{-3} \text{ miles}
\]
Thus, in scientific notation, the dimensions of the table are approximately **\(9.77 \times 10^{-4} \text{ miles} \times 1.36 \times 10^{-3} \text{ miles}\)**.
**Conversions to feet:**
- For the length:
\[
62 \text{ inches} \div 12 \text{ inches/foot} = \frac{62}{12} \approx 5.17 \text{ feet}
\]
- For the width:
\[
86 \text{ inches} \div 12 \text{ inches/foot} = \frac{86}{12} \approx 7.17 \text{ feet}
\]
So, the dimensions of the table in feet are approximately **5.17 feet x 7.17 feet**.
**Conversions to miles:**
To convert inches to miles, you divide the number of inches by 63,360, since there are 63,360 inches in a mile.
- For the length:
\[
62 \text{ inches} \div 63,360 \text{ inches/mile} \approx 0.000977 \text{ miles}
\]
- For the width:
\[
86 \text{ inches} \div 63,360 \text{ inches/mile} \approx 0.00136 \text{ miles}
\]
So, the dimensions of the table in miles are approximately **0.000977 miles x 0.00136 miles**.
**Scientific Notation for the miles:**
- For the length:
\[
0.000977 \text{ miles} \approx 9.77 \times 10^{-4} \text{ miles}
\]
- For the width:
\[
0.00136 \text{ miles} \approx 1.36 \times 10^{-3} \text{ miles}
\]
Thus, in scientific notation, the dimensions of the table are approximately **\(9.77 \times 10^{-4} \text{ miles} \times 1.36 \times 10^{-3} \text{ miles}\)**.
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