How many times larger is 9×10

Question

−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:

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