Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. Scientific notation is used to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit number and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
To express a number in scientific notation following rules must be followed
- If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
- If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.
We have to express 13 million in scientific notation
12 million is written as 12,000,000 in abbreviated form.
Move the decimal to the left 7 places so it is positioned to the right of the leftmost non zero digits 1.2000000
Remove all the zeroes and multiply the number by 10.
Since the number is greater than 10 and decimal is moved to left, therefore, we use here a positive exponent.
1.3 X 107
13 million in scientific notation is expressed as 1.2 X 107