The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 31,035,050 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Now, to find b, count how many places to the right of the decimal.
New Number: | 3 | . | 1 | 0 | 3 | 5 | 0 | 5 | 0 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 places to the right of the decimal place.
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 3.103505 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
3.103505 x 107
Check your work:
107 = 10,000,000 x 3.103505 = 31,035,050
31,035,048 | 31,035,049 | 31,035,051 | 31,035,052 |
3.1035048 x 107 | 3.1035049 x 107 | 3.1035051 x 107 | 3.1035052 x 107 |