STANDARD FORM 1D

Evaluate the following giving your answer in standard form.

2582.7 x 10^-9

   5 x 10^-20

Solution

=  2582.7 x 10^-9

       5 x 10^-20

=  2582.7  x   10^-9

       5             10^-20

=  516.54 x 10^{-9 –(-20)}  [after dividing 2582.7 by 5]

=  516.54 x 10^{-9 + 20}   

=  516.54 x 10¹¹      then we change 516.54 into standard form as well

= 5.1654 x 10² x 10¹¹   [when we have exponents with same base, we add 

   the powers.]

 

= 5.1654 x 10¹³

= 5.17 x 10¹³ [correct to 2 d.p.]

Hence   2582.7 x 10^-9   = 5.17 x 10¹³

                5 x 10^-20

TRY THIS………………..

Evaluate the following giving your answer in standard form.

0.006647 x 10^-9

 4 x 10^-30