Question

How many times larger is 9 × 10^13 than 3 × 10^8?
A.
3,000,000
B.
3,000
C.
30,000
D.
300,000

Answer 1

To find out how many times larger \( 9 \times 10^{13} \) is than \( 3 \times 10^{8} \), you can divide the two numbers:

\[
\frac{9 \times 10^{13}}{3 \times 10^{8}}
\]

This can be simplified as follows:

1. Divide the coefficients:
\[
\frac{9}{3} = 3
\]

2. Divide the powers of ten:
\[
\frac{10^{13}}{10^{8}} = 10^{13-8} = 10^{5}
\]

Putting it all together:

\[
\frac{9 \times 10^{13}}{3 \times 10^{8}} = 3 \times 10^{5}
\]

Now, convert \( 3 \times 10^{5} \) into standard numerical form:

\[
3 \times 10^{5} = 300,000
\]

So, \( 9 \times 10^{13} \) is **300,000** times larger than \( 3 \times 10^{8} \).

The answer is **D. 300,000**.