Definition: - Standard form in math is a process to write a number in a simple. It is also known as scientific notation.It helps to represent a huge number in a small or simpler form.
Example 1: - What is the standard form of 0.000000000000000000989.
Solution: -0.000000000000000000989 can be written as 9.89 x 10^(-19)
Where 9.89 x 10^(-19) is the standard form of 0.000000000000000000989 and we don’t need to write so many zeroes. The first value which is 9.89 is always lie between 1 to 10 that is place the decimal after one digit as here we have placed after 9 then move the decimal place and count the zeroes, write the number of zeroes in the power of 10. Here we have shifted the decimal 19 place.
Therefore the standard form of 0.000000000000000000989 is 9.89 x 10 ^ (-19)
Example 2: - What is the standard form of 7543200000000000000000
Solution: -Place the decimal after 7 and there are 21 digits after 7 so the power of 10 will be 21.
Therefore, the standard form of 7543200000000000000000 is 7.5432 x 10^ 21.
Simply you can write a number for a expanded form.
Example 3: - 2000000 + 300000 +90000+5000+100+87
We can convert this expanded number into a simple number as 2395187.