SOLUTION: perform the indicated operation. Write the result in standard decimal notation. (9.8 x 10^-4)(2.1 x 10^2)(3.1 x 10^-1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: perform the indicated operation. Write the result in standard decimal notation. (9.8 x 10^-4)(2.1 x 10^2)(3.1 x 10^-1)      Log On


   



Question 66499: perform the indicated operation. Write the result in standard decimal notation.
(9.8 x 10^-4)(2.1 x 10^2)(3.1 x 10^-1)

Answer by rcmcc(152) About Me  (Show Source):
You can put this solution on YOUR website!
%289.8x10%5E-4%29%282.1x10%5E2%29%283.1x10%5E-1%29
The easiest way to solve this is by converting the terms into standard form and then placing them back into notation form.
9.8E-4 is the same as 0.00098 as the decimal moves 4 forward
2.1E2 is teh same as 210 as the decimal moves 2 back
3.1E-1 is the same as 0.31 as the decimal moves 1 back
multiply these to form one term
0.00098x210x0.31= 0.063798 because you are only given 2 significant digits you round to the 2nd placing in this case you round it up to 0.064
to get the term back into standard notation move the decimal back 2 places you get the answer
6.4x10%5E-2