Q: How is the number 833,215,171 written in Scientific Notation?
A: 8.33215171 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 833,215,171 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 | 3 | 2 | 1 | 5 | 1 | 7 | 1 |
| 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 = 8.33215171
b = 8
Now the whole thing:
8.33215171 x 108
Check your work:
108 = 100,000,000 x 8.33215171 = 833,215,171
| 833,215,169 | 833,215,170 | 833,215,172 | 833,215,173 |
| 8.33215169 x 108 | 8.3321517 x 108 | 8.33215172 x 108 | 8.33215173 x 108 |