Scientific notation is a way to express or write any large number or small number in a shorter form. In this process the number is divided in to two terms, where the first term is less than 10 and greater than 1 and the second term of scientific notation is a power of 10. So if we want to convert decimal to scientific notation than we have to first divide that number into two terms. To understand this more deeply we take an example of decimal number which we have to convert in scientific notation. So if we have number small decimal number .00000431 then here first we create 1st
term which has to be between 1 and 10. But according to the rule, in the first term number should be less than 10 and greater than 1. So here we place decimal Point between 4 and 3 because there is no other place in the number where we can place the decimal. So the first term 000004.31, now we have to create second term and for that we have to count all digits before decimal point. After counting we find that there are six digits in front of decimal point (.). So the factor is negative six of power ten. At last we write both terms together with multiplication sign (*) in between,
4.31 * 10-6
So this is the scientific notation form of decimal number 000004.31. Now let’s take another example of decimal number which we have to convert in scientific notation form.
If the number is .00000006517, first we create 1st
term of scientific notation form where we place a decimal point where number should not be less than 1 or greater than 10. So here we place the decimal in between 6 and 5.
After that we create 2nd
term which is
At last we write both terms together in multiplication,
6.517 * 10-8