SOLUTION: Use scientific notation to divide the following two numbers. Express the answer using sciectific notations; retain at least three decimal places. {{{(5.2 * 10^7) / (3.15 * 10^3)}}

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Use scientific notation to divide the following two numbers. Express the answer using sciectific notations; retain at least three decimal places. {{{(5.2 * 10^7) / (3.15 * 10^3)}}      Log On


   



Question 534183: Use scientific notation to divide the following two numbers. Express the answer using sciectific notations; retain at least three decimal places.
%285.2+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
As calculations with scientific notations go, this is an easy one. (I am including a more complicated example below).

However, a scientist would not report a result with that many decimal places. It would be too many significant figures, because the factor
5.2+%2A+10%5E7
is given with only two digits, which usually means that it comes from a measurement that is not precise and accurate enough to be certain of one more digit.
EXAMPLE OF WHEN SCIENTIFIC NOTATION GETS A BIT MORE COMPLICATED:
If it was %282.76+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29, a simple calculation, like the one above would give you a results that is not in scientific notation:

Scientific notation requires the number multiplied by the power of 10 to be 1 or more, but less than 10.
0.876%2A10%5E3 does not qualify, but 0.876=8.76%2A%281%2F10%29=8.76%2A10%5E-1,
so you do one more calculations to get to scientific notation
0.876%2A10%5E3=%288.76%2A10%5E-1%29%2A10%5E3=8.76%2A10%5E2
8.76%2A10%5E2 is in scientific notation.