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

Answer 1

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:

\[ \boxed{2.2 \times 10^4} \text{ miles} \]