Question

Write this large number in scientific notation. Determine the values of Vm) and (n) when the following mass of the Earth is written in scientific notation: 5,970,000,000,000,000,000,000,000 (rm kgl) Enter I(ml) and (nl), separated by commas.

Answer 1

Answer : The answer is, 5.97, 24

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as
`5.0* 10^3`

889.9 is written as
`8.899* 10^(-2)`

In this examples, 5000 and 889.9 are written in the standard notation and
`5.0* 10^3` and
`8.899* 10^(-2)` are written in the scientific notation.

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

As we are given the 5,970,000,000,000,000,000,000,000 in standard notation.

Now converting this into scientific notation, we get:

`\Rightarrow 5,970,000,000,000,000,000,000,000=5.97* 10^(24)`

As, the decimal point is shifting to left side, thus the power of 10 is positive.

Hence, the answer is,
`5.97* 10^(24)`

Now the answer is comparing to
`m.* 10^n`

So, m = 5.97 and n = 24

Thus, the answer is, 5.97, 24