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 67,673,760 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: | 6 | . | 7 | 6 | 7 | 3 | 7 | 6 | 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 = 6.767376 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
6.767376 x 107
Check your work:
107 = 10,000,000 x 6.767376 = 67,673,760
67,673,758 | 67,673,759 | 67,673,761 | 67,673,762 |
6.7673758 x 107 | 6.7673759 x 107 | 6.7673761 x 107 | 6.7673762 x 107 |