Scientific Notation Problem Set 3

 

Answers to Third Problem Set

Calculate the following:

 

1. (7 x 106) / (2 x 104)  = (7 / 2) x ( 10 6-4 ) = 3.5 x 102 = 350

 

2. (2 x 107) x (4 x 10-9) = ( 2 x 4 ) x ( 10 7-9 ) = 8 x 10-2 = 0.08

 

3. (5 x 108) x (5 x 103) = ( 5 x 5 ) x ( 10 8+3 ) = 25 x 1011 = 2.5 x 1012

 

4. (6 x 103)3 / (3 x 106)4

( 6 x 6 x 6 ) x ( 10 3+3+3 ) / ( 3 x 3 x 3 x 3 ) x ( 10 6+6+6+6 )

( 216 x 109 ) / ( 81 x 1024 )

( 216 / 81 ) x (10 9-24 )

2.67 x 10-15

 

5. (5 x 103) / (2 x 103) = ( 5 / 2 ) x ( 10 3-3 ) = 2.5 x 100 = 2.5

 

6. (3 x 104)2 = ( 3 x 3 ) x ( 10 4+4 ) = 9 x 108

 

7. (4 x 10-6)3 = ( 4 x 4 x 4 ) x ( 10 -6-6-6 ) = 64 x 10-18 = 6.4 x 10-17

 

8. (2 x 105) x (6 x 107) / (4 x 108)

( 2 x 6 ) x 10 5+7 / 4 x 108

12 x 1012 / 4 x 108

( 12 / 4 ) x 10 12-8

3 x 104

 
Updated 8/27/99
By James E. Heath
  
 
 
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