Planet X is at a distance of

9.35×

10
6

km
from Jupiter and planet Y is

6.27×

10
7

km
from Jupiter, then planet ____ is nearer to Jupiter.

Question

Planet X is at a distance of

9.35×
    
     10
    6
   
    km
   from Jupiter and planet Y is

6.27×
    
     10
    7
   
    km
  from Jupiter, then planet ____ is nearer to Jupiter.

Accepted Answer

Planet X is at a distance of

9.35×
    
     10
    6
   
    km
  from Jupiter and planet Y is

6.27×
    
     10
    7
   
    km
   from Jupiter, then planet X is nearer to Jupiter.It is given that planet X is at a distance of

9.35×
    
     10
    6
   
    km
   from Jupiter and planet Y is

6.27×
    
     10
    7
   
    km
   from Jupiter.The distance between planet X and Jupiter

=9.35×
    
     10
    6
   
    km.        ....(1)
   Apply

a
    m
   
   ×
    a
    n
   
   =
    a
    
     m+n

in equation (1) we get,

9.35×
      10
      6
     
      km = 9.35×
      
       10
      
       10
     
     ×
      10
      6
     
      km

⇒9.35×
      10
      6
     
      km =0.935×
      10
      7
     
      km                                                 ...(2)

Therefore the distance between planet X and Jupiter

=0.935×
    
     10
    7
   
    km.
   The distance between planet Y and Jupiter

=6.27×
    
     10
    7
   
    km
   It is clear that

6.27×
    
     10
    7

km is greater than

0.935×
    
     10
    7
   
    km.
  Hence, planet X is nearer to Jupiter.

Planet X is at a distance of $9.35 × 106 km$ from Jupiter and planet Y is $6.27 × 107 km$ from Jupiter, then planet ____ is nearer to Jupiter.