Q: How is the number 90,205,306 written in Scientific Notation?
A: 9.0205306 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 90,205,306 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: | 9 | . | 0 | 2 | 0 | 5 | 3 | 0 | 6 |
| 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 = 9.0205306
b = 7
Now the whole thing:
9.0205306 x 107
Check your work:
107 = 10,000,000 x 9.0205306 = 90,205,306
| 90,205,304 | 90,205,305 | 90,205,307 | 90,205,308 |
| 9.0205304 x 107 | 9.0205305 x 107 | 9.0205307 x 107 | 9.0205308 x 107 |