Scientific Notation

Scientific notation is clear as shorter method to state very big numbers into simplest form. This method is called as scientific notation. Scientific notation is based on powers of the base integer 10 have expressed in the scientific notation. Example for scientific notation of 5670000000 this can be note down as 5.67 x 109. And the one more method in decimal is 0.0000081 = 8.1 x 10 -6

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Steps to find scientific notation:

Steps to find scientific notation is given below that:

The scientific notation (number) has one number to the left of the decimal point.

We contain to put the decimal point following the first digit.

How many places the decimal point was moved point out through the power of ten (10).

Numbers in Scientific notation is writing as a common form:

P × 10q (where P is the coefficient that is in between 1 and 10. And q is the exponents)

Coefficient × 10exponents

A positive exponent in scientific notation demonstrates that the decimal point is moved that number of spaces to the right. A negative exponent demonstrate that the decimal point is shifted that number of spaces to the left.

Example problems based on 4 in scientific notation:

Example 1:

4 change into scientific notation.

Solution:

Specified that 4

Specified number is not a big number, but it is simple to convert scientific notation.

First note down 4 x 100 = 4 [100 = 1]

After that it can be note down in scientific notation = 4 x 100

Example 2:

4444 change into scientific notation.

Solution:

Specified that 4444

Specified number is a big number, but it is simple to convert scientific notation.

First note down 4.444 this is not equivalent to specified number

Calculate how many numbers available following the decimal point in earlier step

Present are 3 digits following the decimal point so you can place 8 zero

4.444 × (1000)

Therefore the notation will be 103

The scientific notation can be note down as 4.444 x 103

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Example 3:

0.0044 change into scientific notation.

Solution:

Specified that 0.0044

Specified number is not a big number, but it is simple to convert scientific notation.

First note down the number as 4.4

There are 3 digit following the number is there so we can write 10-3

The scientific notation can be note down as 4.4 x 10-3