The speed of light in a vacuum is 299,792,458 meters per second. Which number written in scientific notation is the best approximation of the speed of light

Scientific notation is a famous way to express a very large or a very small number as the product of a decimal form of number ( between 1 and 10) and powers of ten.

For example 1300000 can be written as [tex]1.3\times10^6[/tex].

Given : The speed of light in a vacuum is 299,792,458 meters per second.

Total digits = 9

Power of ten = 9-1=8

Now , the speed of light in a vacuum can be expressed as [tex]2.99792458\times10^8[/tex] meters per second.

Since [tex]2.99792458\approx3.0[/tex]

So , the best approximation of the speed of light would be [tex]3.0\times10^8[/tex] meters per second.

sohail09753 sohail09753 · Answer 2 · 2021-12-22T14:08:21+01:00

The scientific notation can be defined as the way of expressing a larger numerical value into a very small number. This is done by using a single decimal form of the number along with the remaining numbers raised to the power of ten.

The number suiting the best approximation for the speed of light is:

[tex]3.0\times10^8[/tex]

The determination of the base and power are as follows:

Given :

The speed of light in a vacuum is 299,792,458 meters per second.

The total number of digits is 9

As per the rules, the power to 10 is always a total number of digits less than 1.

So the power to 10 will be:

[tex]\text{Power to 10}=\text{Total digits}-1\\=9-1\\=8[/tex]

The speed of the vacuum will be 2.99792458, which is equivalent to 3.0

To know more about scientific notation, refer to the link:

https://brainly.com/question/1740231