Q: How is the number 83,822,053 written in Scientific Notation?
A: 8.3822053 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 83,822,053 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: | 8 | . | 3 | 8 | 2 | 2 | 0 | 5 | 3 |
| 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 = 8.3822053
b = 7
Now the whole thing:
8.3822053 x 107
Check your work:
107 = 10,000,000 x 8.3822053 = 83,822,053
| 83,822,051 | 83,822,052 | 83,822,054 | 83,822,055 |
| 8.3822051 x 107 | 8.3822052 x 107 | 8.3822054 x 107 | 8.3822055 x 107 |