Question

How many times smaller is 3 × 10-5 than 6 × 10-4? NEED HELP PLZ

A.

20

B.

2,000

C.

200

D.

0.2

Answer 1

3 × 10^-5 is 20 times smaller than 6 × 10^-4, which is determined by dividing the latter by the former and simplifying.

Step-by-step explanation:

To find out how many times smaller 3 × 10-5 is than 6 × 10-4, we need to divide the larger number by the smaller number. Let's do the calculation:

\(\frac{6 × 10^{-4}}{3 × 10^{-5}} = \frac{6}{3} × \frac{10^{-4}}{10^{-5}} = 2 × 10^{(-4) - (-5)} = 2 × 10^{1} = 20\)

So, 3 × 10-5 is 20 times smaller than 6 × 10-4.

The correct answer from the choices given is A. 20.