Q: How is the number 214,067,792 written in Scientific Notation?
A: 2.14067792 x 108
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 214,067,792 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: | 2 | . | 1 | 4 | 0 | 6 | 7 | 7 | 9 | 2 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 2.14067792
b = 8
Now the whole thing:
2.14067792 x 108
Check your work:
108 = 100,000,000 x 2.14067792 = 214,067,792
| 214,067,790 | 214,067,791 | 214,067,793 | 214,067,794 |
| 2.1406779 x 108 | 2.14067791 x 108 | 2.14067793 x 108 | 2.14067794 x 108 |