-- card: 46914 from stack: in
-- bmap block id: 0
-- flags: 0000
-- background id: 44309
-- name: Metric Conversion 5


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Metric Conversion 5

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Convert the following:

4 gigabytes = ? kilobytes


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As in the last problem, bytes are a unit of measurement  to measure memory in a computer.  

To solve this question, the relationship between a kilobyte and a gigabyte must be solved; more precisely, the relationship between the kilo and giga factors. 

Kilo is 10 3 and giga is 10 9. That is a difference of six powers of 10 or 10 6.

      1 x 10 9  giga        
      _____________    =  1 x 10 6
      1 x 10 3  kilo


From this ratio, we can see that there is a difference of six powers of 10, and since giga is larger than
kilo, there must be 100,000 (six places) kilobytes for every gigabyte.

   1 gigabyte = 100,000 kilobytes


Now the second ratio of comparison can be set up for this question:


 1 gigabyte               4  gigabytes
 ___________   =   ____________
 100,000 kilobytes    x kilobytes


Cross multiply and solve for x:

        x = (100,000) (4)
        x = 400,000 kilobytes

4 gigabytes = 400,000 kilobytes





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Bytes are a unit of measurement to measure the amount of memory in a computer. Check the Chem 101 stack to find out that kilo is  10 3  and giga is  10 9.