standard form

Question

1.2 x 10¹⁵⁰  − 8 x 10¹⁴⁹ . find the value in standard form

Answer 1

Standard form means the we write the number according to their place values.  Recall the units place, tens place, hundreds place, etc.  But first, we simplify the expression.  Then we put the result in that form.

 

 

Note that the greatest common factor of the expression is 10¹⁴⁹.

 

10¹⁴⁹ × (1.2 × 10 - 8) =

 

10¹⁴⁹ × (12 - 8) =

 

10¹⁴⁹ × 4 =

 

10¹⁴⁹ + 10¹⁴⁹ + 10¹⁴⁹ + 10¹⁴⁹ =

 

 

   10000000000000000000000000000000000000000.....

   10000000000000000000000000000000000000000.....

   10000000000000000000000000000000000000000.....

+ 10000000000000000000000000000000000000000.....

________________________________________________

   40000000000000000000000000000000000000000.....

 

 

The "...." means there about 109 more zeros in the form.  It's impossible to fit all 149 zeros in this screen at once because the alignment of the digits will be messed up.