Question

How many times greater is 1, point, 4, 7, 4, times, 10, to the power minus 41.474×10
−4
than 6, point, 7, times, 10, to the power minus 86.7×10
−8
? Express your answer using either standard notation or scientific notation.

Answer 1

Interpret the numbers as 1.474×10^−4 and 6.7×10^−8. Their ratio is

(1.474×10^−4)/(6.7×10^−8) = (1.474/6.7)×10^{4} = 0.22×10^{4} = 2.2×10^{3}.

So the first is 2.2×10^3 (2200) times greater than the second.