How many times larger is 9×10(−8)

Question

than 3×10(−12)
?(1 point)
Responses

3×103
3 times 10 cubed

6×10−4
6 times 10 to the negative 4 power

6×10−3
6 times 10 to the negative 3 power

3×104

Answer 1

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

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

First, divide the coefficients (9 and 3):

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

Next, divide the powers of ten. When dividing, you subtract the exponents:

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

Now, combine the results:

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

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

The correct answer is:

3×10⁴