Question

How many times larger is 9×10
−8
than 3×10
−12
? (1 point)

6×10
−3

3×10
3

6×10
−4

3×10
4

Answer 1

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

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

This can be simplified as follows:

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

2. Divide the powers of ten:
\[
\frac{10^{-8}}{10^{-12}} = 10^{-8 - (-12)} = 10^{-8 + 12} = 10^{4}
\]

Putting it all together:
\[
3 \times 10^4
\]

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

The correct answer is:

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