Question

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 1

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 2

Answer:

(a)2.99792 458 ×$10^8$ m/s is the speed of light in scientific  notation,

B) - (i) The speed of light to  five significant figures is 2.9979 ×$10^8$m/s ,

(ii)The speed of light to three significant figures  is 3.0 × $10^8$ 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 ×$10^8$ m/s .

• Now , speed of light to five significant figures ,

Speed of light = 2.9979 ×$10^8$ m/s

• And speed of light to three significant figures is ,

Speed of light = 2.99 × $10^8$ m/s .

This can be written as  3.00 × $10^8$ m/s because 9 is greater than 5 .

Final answer:

Hence , 2.99792 458 ×$10^8$ m/s is the speed of light in scientific  notation,

The speed of light to  five significant figures is 2.9979 ×$10^8$m/s ,

The speed of light to three significant figures  is 3.0 × $10^3$ .

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