Q: How is the number 354,083,229 written in Scientific Notation?
A: 3.54083229 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 354,083,229 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: | 3 | . | 5 | 4 | 0 | 8 | 3 | 2 | 2 | 9 |
| 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 = 3.54083229
b = 8
Now the whole thing:
3.54083229 x 108
Check your work:
108 = 100,000,000 x 3.54083229 = 354,083,229
| 354,083,227 | 354,083,228 | 354,083,230 | 354,083,231 |
| 3.54083227 x 108 | 3.54083228 x 108 | 3.5408323 x 108 | 3.54083231 x 108 |