Question
There are about 1.6×10 power of 3 m in a mile about how many miles are there in 3.52×10 power of 7 m right your answer and scientific notation express to the exact decimal place
Answers
GPT-4o mini
To find out how many miles are in \(3.52 \times 10^7\) meters, using the conversion that \(1 \text{ mile} \approx 1.6 \times 10^3 \text{ m}\), we can set up the following calculation:
1. First, we divide the total meters by the number of meters in a mile:
\[
\text{Number of miles} = \frac{3.52 \times 10^7 \text{ m}}{1.6 \times 10^3 \text{ m/mile}}
\]
2. Performing the division:
\[
\text{Number of miles} = \frac{3.52}{1.6} \times \frac{10^7}{10^3}
\]
3. Calculating \(\frac{3.52}{1.6}\):
\[
\frac{3.52}{1.6} = 2.2
\]
4. Calculating \(\frac{10^7}{10^3}\):
\[
\frac{10^7}{10^3} = 10^{7-3} = 10^4
\]
5. Combining these results gives:
\[
\text{Number of miles} = 2.2 \times 10^4
\]
So, the final answer is:
\[
\boxed{2.2 \times 10^4} \text{ miles}
\]
1. First, we divide the total meters by the number of meters in a mile:
\[
\text{Number of miles} = \frac{3.52 \times 10^7 \text{ m}}{1.6 \times 10^3 \text{ m/mile}}
\]
2. Performing the division:
\[
\text{Number of miles} = \frac{3.52}{1.6} \times \frac{10^7}{10^3}
\]
3. Calculating \(\frac{3.52}{1.6}\):
\[
\frac{3.52}{1.6} = 2.2
\]
4. Calculating \(\frac{10^7}{10^3}\):
\[
\frac{10^7}{10^3} = 10^{7-3} = 10^4
\]
5. Combining these results gives:
\[
\text{Number of miles} = 2.2 \times 10^4
\]
So, the final answer is:
\[
\boxed{2.2 \times 10^4} \text{ miles}
\]