Scientific notation is a common way of writing very large numbers. In everyday life we see this when dealing with cell phone storage. If a phone has 10 gigabytes of hard drive space that means that it has 10×109 bytes of space. A megabyte is 1×106 bytes.If our phone with 10 gigabytes of free storage downloads a game that takes of 76 megabytes, how much free storage is left? Describe the process of subtracting numbers in scientific notation and give the solution. Discuss other place we frequently see scientific notation in real life?

Question
Asked Oct 11, 2019

Scientific notation is a common way of writing very large numbers. In everyday life we see this when dealing with cell phone storage. If a phone has 10 gigabytes of hard drive space that means that it has 10×109 bytes of space. A megabyte is 1×106 bytes.


If our phone with 10 gigabytes of free storage downloads a game that takes of 76 megabytes, how much free storage is left?
Describe the process of subtracting numbers in scientific notation and give the solution.
Discuss other place we frequently see scientific notation in real life?

check_circleExpert Solution
Step 1

Part first:

Given that phone has a free storage of 10 GB (gigabytes).

Convert 10 GB into Bytes,

10GB 10x 10'Bytes
100 Bytes
10 x10 Bytes
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10GB 10x 10'Bytes 100 Bytes 10 x10 Bytes

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Step 2

Also, given size of the game is 76 MB (megabytes).

So,

76x 10 Bytes
76MB
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76x 10 Bytes 76MB

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Step 3

The free storage left i...

free storage phone storage -game size
=(10 x 10 -76x10°)Bytes
=10 (10000-76)Bytes
=9924x10 Bytes
=9.924x 10 Bytes
9.924 GB
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free storage phone storage -game size =(10 x 10 -76x10°)Bytes =10 (10000-76)Bytes =9924x10 Bytes =9.924x 10 Bytes 9.924 GB

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Math

Algebra