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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.