Question

Approximately how many times greater is 6×10−5 than 5×10−9?
Responses

120
120

1200
1200

12,000
12,000

120,000

Answer 1

To determine how many times greater \(6 \times 10^{-5}\) is than \(5 \times 10^{-9}\), you can divide the first number by the second number:

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

Calculating \( \frac{10^{-5}}{10^{-9}} \):

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

Now combine it with \(\frac{6}{5}\):

\[
\frac{6}{5} \times 10^{4} = 1.2 \times 10^{4} = 12000
\]

Therefore, \(6 \times 10^{-5}\) is \(12,000\) times greater than \(5 \times 10^{-9}\).

The correct response is **12,000**.