STANDARD FORM 3

Evaluate the following giving your answer in standard form.

582.7 x 10^-9

   5 x 10^-20

Solution

=  582.7 x 10^-9

       5 x 10^-20

=  582.7  x   10^-9

       5         10^-20

=  116.54 x 10^{-9 –(-20)}

=  116.54 x 10^{-9 + 20}    

=  116.54 x 10¹¹      then we change 116.54 into standard form as well

= 1.1654 x 10² x 10¹¹   [when we have exponents with same base, we add 

   the powers.]

 

= 1.1654 x 10¹³

= 1.17 x 10¹³ [correct to 2 d.p.]

Hence   582.7 x 10^-9   = 1.17 x 10¹³

                5 x 10^-20

TRY THIS………………..

Evaluate the following giving your answer in standard form.

0.001247 x 10^-9

   4 x 10^-30