How does an earthquake of magnitude 7.8 compare in intensity with an earthquake of magnitude of 3.1 on the Richter scale?

The larger earthquake's intensity was ? times as great as the smaller earthquake's intensity.
(Round to the nearest whole number as needed.)

1 answer

Using the Richter scale, each whole number increase in magnitude represents a tenfold increase in intensity.

Therefore, the difference in magnitude between the two earthquakes is 7.8 - 3.1 = 4.7.

Since each whole number increase represents a tenfold increase in intensity, we need to calculate 10^4.7 to determine the ratio of intensity between the two earthquakes:
10^4.7 ≈ 50,119

Therefore, the larger earthquake's intensity was approximately 50,119 times as great as the smaller earthquake's intensity.