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 50,707,410 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: | 5 | . | 0 | 7 | 0 | 7 | 4 | 1 | 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 = 5.070741 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
5.070741 x 107
Check your work:
107 = 10,000,000 x 5.070741 = 50,707,410
50,707,408 | 50,707,409 | 50,707,411 | 50,707,412 |
5.0707408 x 107 | 5.0707409 x 107 | 5.0707411 x 107 | 5.0707412 x 107 |