Answer :
(a) The speed of light in three significant figures is, [tex]3.00\times 10^1m/s[/tex]
(b) The speed of light in five significant figures is, [tex]2.9979\times 10^1m/s[/tex]
(c) The speed of light in seven significant figures is, [tex]2.997924\times 10^1m/s[/tex]
Explanation :
Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.
As we are given that the speed of light is:
[tex]2.99792458\times 10^1m/s[/tex]
In the given value, there are 9 significant figures.
(a) Now we have to determine the speed of light in three significant figures.
For three significant figure, we round off the digits and we get:
[tex]3.00\times 10^1m/s[/tex]
(b) Now we have to determine the speed of light in five significant figures.
[tex]2.9979\times 10^1m/s[/tex]
(c) Now we have to determine the speed of light in seven significant figures.
[tex]2.997924\times 10^1m/s[/tex]