Question

Write 605,400.34 in Scientific Notation with 4 significant figures.

Answer 1

Answer : The correct answer is,
`6.054* 10^5`

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.

`8.89* 10^(-2)` this is written in the scientific notation and the standard notation of this number will be, 0.00889.

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 605,400.34 in standard notation.

Now converting this into scientific notation, we get:

`\Rightarrow 605,400.34=6.054* 10^5`

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

Hence, the correct answer is,
`6.054* 10^5`