Question

Approximately how many times greater is 6 x 10-5 than 5 × 10-9,
120
1200
12,000
120,000

Answer 1

To find out how many times greater \( 6 \times 10^{-5} \) is than \( 5 \times 10^{-9} \), we need to divide \( 6 \times 10^{-5} \) by \( 5 \times 10^{-9} \):

\[
\frac{6 \times 10^{-5}}{5 \times 10^{-9}} = \frac{6}{5} \times \frac{10^{-5}}{10^{-9}}
\]

Now, calculate \( \frac{10^{-5}}{10^{-9}} \):

\[
\frac{10^{-5}}{10^{-9}} = 10^{-5 - (-9)} = 10^{4}
\]

So we have:

\[
\frac{6 \times 10^{-5}}{5 \times 10^{-9}} = \frac{6}{5} \times 10^4
\]

Calculating \( \frac{6}{5} \):

\[
\frac{6}{5} = 1.2
\]

Now multiply by \( 10^4 \):

\[
1.2 \times 10^4 = 12000
\]

Therefore, \( 6 \times 10^{-5} \) is approximately **12,000** times greater than \( 5 \times 10^{-9} \). Thus, the correct answer is:

**12,000**.