Question

How many times larger is 6.255 × 1010 than 1.5 × 108?

Group of answer choices

24.0

417

240

4.17

Answer 1

To find out how many times larger \( 6.255 \times 10^{10} \) is than \( 1.5 \times 10^{8} \), you can divide the first number by the second number:

\[
\frac{6.255 \times 10^{10}}{1.5 \times 10^{8}}
\]

This can be simplified by dividing the coefficients and subtracting the exponents:

\[
\frac{6.255}{1.5} \times 10^{10-8} = \frac{6.255}{1.5} \times 10^{2}
\]

Calculating \( \frac{6.255}{1.5} \):

\[
\frac{6.255}{1.5} = 4.17
\]

Now multiply by \( 10^{2} \):

\[
4.17 \times 100 = 417
\]

So, \( 6.255 \times 10^{10} \) is **417** times larger than \( 1.5 \times 10^{8} \).

Thus, the answer is **417**.