Scientific Notation Word Problems 8th Grade Math Worksheet

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Scientific Notation Word Problems

8

Grade Math

8.EE4

th

1.   M r.   G riffin’s   c lass   i s   s tudying   t he   s olar   s ystem.     T he   c ircumference   o f   t he   E arth   a t   t he   e quator   i s  

about   2 4,900   m iles.     E xpress   t his   n umber   i n   s cientific   n otation.  

 

!

2.     T he   s peed   o f   l ight   i s   a pproximately   6 .71×10

miles   p er   h our.      

a.   E xpress   t his   n umber   i n   s tandard   f orm.      

!

b.   I f   l ight   t ravels   6 .71×10

miles   i n   o ne   h our.     H ow   m any   m iles   w ill   i t   t ravel   i n   1   m inute?  

c.     I f   i t   t akes   l ight   8 .3   m inutes   t o   r each   t he   S un   f rom   t he   E arth,   w hat   i s   t he   d istance   o f   t he   S un   f rom  

the   E arth?    

 

!

!

3.   A   s peck   o f   d ust   i n   a n   e lectron   m icroscope   i s   1 .2  ×  10

  m illimeters   w ide.     T he   i mage   i s   5 ×10

 

times   l arger   t han   t he   a ctual   s ize.     H ow   m any   m illimeters   w ide   i s   t he   a ctual   s peck   o f   d ust?  

 

 

 

 

 

4.     T he   S R-­‐71   “ Blackbird”   i s   o ne   o f   t he   w orld’s   f astest   a irplanes.     I t   i s   c apable   o f   t raveling   a t   a  

cruising   s peed   o f   M ach   3 ,   o r   t hree   t imes   t he   s peed   o f   s ound.     T he   s peed   o f   s ound   i s   a pproximately  

!

7.6  ×  10

miles   p er   h our.     W hat   i s   M ach   3   i n   m iles   p er   h our?     W rite   y our   a nswer   i n   s cientific  

notation.      

 

 

 

 

!

!

5.     T he   h alf-­‐life   o f   u ranium–238   i s   4 .5  ×  10

  y ears.     T he   h alf-­‐life   o f   u ranium-­‐234   i s   2 .5  ×  10

  y ears.    

How   m any   t imes   g reater   i s   t he   h alf-­‐life   o f   u ranium-­‐238   t han   t hat   o f   u ranium-­‐234?  

 

 

 

 

 

!

6.     T he   s tate   o f   C olorado   c overs   a bout   1 .04  ×  10

  s quare   m iles.     T he   I ndian   O cean   c overs   a bout  

!

2.808  ×  10

  s quare   m iles.     H ow   m any   t imes   b igger   t han   C olorado   i s   t he   I ndian   O cean?