Solve the problem.
-By how many orders of magnitude do a $20 bill and a nickel differ?
A) 1.6
B) 2.6
C) 3.3
D) 0.7

Question

Quizplus · Accepted Answer

The value of a $20 bill is $20, and the value of a nickel is $0.05. To find the difference in orders of magnitude, you divide the larger value by the smaller one and then take the logarithm (base 10) of the result. So, $ \log_{10}(\frac{20}{0.05}) = \log_{10}(400) = 2.6 $.

Solve the Problem. -By How Many Orders of Magnitude Do a $20 Bill