Scientific notation expresses a very large number like 843000000 and very small numbers like 0.000000058 in a shorthand way. Many practitioners work with scientific notation as it is easy to compute and manage.

Scientific Notion is written in this form:
N $\times$ 10$^{x}$.
Where,
N is a number and which lies between 1 and 10, i.e., (1 $\leq$ N $\leq$ 10),
x is an integer.

We need to move the decimal point until it becomes a number and then make the exponent either positive or negative. If the decimal is moved to right, then the exponent is positive; whereas when the decimal is moved to left, then the exponent is negative. Positive exponents mean the number is larger and negative means smaller number.

## Scientific Notation Solved Examples

Given below are some of the examples based on scientific notation:

Question 1: Write 40520000 in scientific notation.
Solution:
Given number = 40500000

Here N = 4 and we have to move 7 decimal places.

So,
40500000 = N $\times$ 10$^{x}$
40520000 = 4.05 $\times$ 10$^{7}$.

Question 2: Write 0.00000062 in scientific notation.
Solution:
Given number = 0.00000062

Here N = 6 and we have to move 7 decimal places.

So,
0.00000062 = N $\times$ 10$^{x}$
0.00000062 = 6.2 $\times$ 10$^{-7}$.