Question

How many times smaller is 4 x 10−7 than 3.5 x 10−4?

11,428
875
114
87.5

Answer 1

To find out how many times smaller \(4 \times 10^{-7}\) is than \(3.5 \times 10^{-4}\), you need to divide the larger number by the smaller number:

\( \frac{3.5 \times 10^{-4}}{4 \times 10^{-7}} \)

= \( \frac{3.5}{4} \times \frac{10^{-4}}{10^{-7}} \)

= \( \frac{3.5}{4} \times 10^{3} \)
(Note: because when dividing like bases with exponents, you subtract the exponents)

= 0.875 × 1000

= 875

So, \(4 \times 10^{-7}\) is 875 times smaller than \(3.5 \times 10^{-4}\). The answer is 87.5