Round the following number to four significant figures and express the result in standard exponential notation: 25.6623 × 10^5

Answer : The correct answer is,

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

889.9 is written as

In this examples, 5000 and 889.9 are written in the standard notation and  and  are written in the scientific notation.

 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 in scientific notation.

Now converting this into standard exponential notation or scientific notation, we get:

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

Hence, the correct answer is,