Q: How is the number 71,203,891 written in Scientific Notation?
A: 7.1203891 x 107
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 71,203,891 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: | 7 | . | 1 | 2 | 0 | 3 | 8 | 9 | 1 |
| 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 = 7.1203891
b = 7
Now the whole thing:
7.1203891 x 107
Check your work:
107 = 10,000,000 x 7.1203891 = 71,203,891
| 71,203,889 | 71,203,890 | 71,203,892 | 71,203,893 |
| 7.1203889 x 107 | 7.120389 x 107 | 7.1203892 x 107 | 7.1203893 x 107 |