Question

There are about 1.6*10 to the power of 3 meters in a mile about how many miles are there in 3.52* 10 to the power of 7 meters write your answer in scientific notation

Answer 1

To convert meters to miles using the conversion factor that there are approximately \(1.6 \times 10^3\) meters in a mile, you can use the following formula:

\[
\text{miles} = \frac{\text{meters}}{\text{meters per mile}} = \frac{3.52 \times 10^7}{1.6 \times 10^3}
\]

Now perform the division:

1. **Divide the coefficients:**
\[
\frac{3.52}{1.6} = 2.2
\]

2. **Subtract the exponents (using the property of exponents that \(\frac{10^a}{10^b} = 10^{a-b}\)):**
\[
10^{7 - 3} = 10^4
\]

Combining these results:
\[
\text{miles} = 2.2 \times 10^4
\]

Thus, there are approximately \(2.2 \times 10^4\) miles in \(3.52 \times 10^7\) meters.