Question

How many times larger is 9*10^-8 than 3*10^-12?

3*10^3
6*10^-4
6*10^-3
3*10^4

Answer 1

To determine how many times larger \( 9 \times 10^{-8} \) is than \( 3 \times 10^{-12} \), we can divide the two numbers.

\[
\frac{9 \times 10^{-8}}{3 \times 10^{-12}} = \frac{9}{3} \times \frac{10^{-8}}{10^{-12}}
\]

Calculating \( \frac{9}{3} \):

\[
\frac{9}{3} = 3
\]

Now calculating \( \frac{10^{-8}}{10^{-12}} \):

\[
\frac{10^{-8}}{10^{-12}} = 10^{-8 - (-12)} = 10^{-8 + 12} = 10^{4}
\]

Now combining both results:

\[
3 \times 10^{4}
\]

Thus, \( 9 \times 10^{-8} \) is \( 3 \times 10^{4} \) times larger than \( 3 \times 10^{-12} \).

The answer is \( \boxed{3 \times 10^{4}} \).