Question

Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation?

Answer 1

Answer : The correct way is,
`6.022* 10^(23)`

Explanation :

Scientific notation : It is defined as the representation of expressing the number that are too big or too small that is written in the decimal form. That means always written in the power of 10 form.

For example : 5000 is written as,
`5* 10^3`

As we are given that the value is, 602,200,000,000,000,000,000,000

This number is written in scientific notation as :

`6.022* 10^(23)`

Therefore, the correct way to write the given number is,
`6.022* 10^(23)`

Answer 2

The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.202 x 10^23. In the scientific notation, the number is written as a multiplication of a number from 1 to 9 and 10 raised to the adequate power. 602,200,000,000,000,000,000,000 = 6.202 x 100,000,000,000,000,000,000,000. Since 10 = 10^1; 100 = 10^2; 1,000 = 10^3, etc. then 100,000,000,000,000,000,000,000 = 10^23. Therefore, 602,200,000,000,000,000,000,000 = 6.202 x 100,000,000,000,000,000,000,000 = 6.202 x 10^23.