Question

how many times larger is 9 x 10^-8 than 3 x 10^-12
a. 6 x 10^-3
b. 6 x 10^-4
c. 3 x 10^3
d. 3 x 10^4

Answer 1

To compare two numbers written in scientific notation, we can divide their coefficients and subtract their exponents.

So, (9 x 10^-8) / (3 x 10^-12)
= 3 / (1/3) x 10^-8 / 10^-12
= 9 x 10^4
= 9 x 10^4

Therefore, 9 x 10^-8 is 9 x 10^4 times larger than 3 x 10^-12.

The closest option is d. 3 x 10^4.