Answer:
(a)2.99792 458 ×[tex]10^8[/tex] m/s is the speed of light in scientific notation,
B) - (i) The speed of light to five significant figures is 2.9979 ×[tex]10^8[/tex]m/s ,
(ii)The speed of light to three significant figures is 3.0 × [tex]10^8[/tex] m/s .
Explanation:
Given , speed of light = 299,792,458 m/s
- Scientific notation- Very big or very small numbers can be written using scientific notation. When a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation
- So , the speed of light in scientific notation = 2.99792458 ×[tex]10^8[/tex] m/s .
- Now , speed of light to five significant figures ,
Speed of light = 2.9979 ×[tex]10^8[/tex] m/s
- And speed of light to three significant figures is ,
Speed of light = 2.99 × [tex]10^8[/tex] m/s .
This can be written as 3.00 × [tex]10^8[/tex] m/s because 9 is greater than 5 .
Final answer:
Hence , 2.99792 458 ×[tex]10^8[/tex] m/s is the speed of light in scientific notation,
The speed of light to five significant figures is 2.9979 ×[tex]10^8[/tex]m/s ,
The speed of light to three significant figures is 3.0 × [tex]10^3[/tex] .
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