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Use scientific notation.

Using scientific notation during calculations can help reduce simple mistakes. Just as a reminder, below are the rules for making calculations using scientific notation.

Addition and Subtraction Convert numbers to the same power of 10 and add or subtract the digits:
   
  $0.03115 + 0.00023$
  $3.115 \ x \ 10^{-2} + 2.3 \ x \ 10^{-4} = $
  $3.115 \ x \ 10^{-2} + 0.023 \ x \ 10^{-2} = $
  $3.138 \ x \ 10^{-2} = 0.03138$
   
Multiplication Multiply the digits and add the exponents:
   
  $6.0 \ x \ 10^{23} \times 2 \ x \ 10^{-4} = $
  $12.0 \ x \ 10^{19} = $
  $1.2 \ x \ 10^{20}$
   
Division Divide the digits and substract the exponents:
   
  $6.0 \ x \ 10^{23} \div 2 \ x \ 10^{-4} = $
  $3.0 \ x \ 10^{27}$
   
Powers Raise the digit to the power and multiply the exponents:
   
  $\left(3.0 \ x \ 10^{2}\right)^3 = $
  $27.0 \ x \ 10^{6} =$
  $2.70 \ x \ 10^{7} =$
   


next up previous contents
Next: Rounding Up: How to Take the Previous: How to Take the   Contents
Alfa Diallo 2006-08-04