The speed of light is c = 299,792,458 m/s. a. Write this value in scientific notation. b. Express the speed of light to i. five significant figures, ii.three signaficant figures​

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Answer:

The speed of light is c = 299,792,458 m/s. a. Write this value in scientific notation. b. Express the speed of light to i. five significant figures, ii.three signaficant figures

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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