Q: How is the number 312,358,255 written in Scientific Notation?
A: 3.12358255 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 312,358,255 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 | . | 1 | 2 | 3 | 5 | 8 | 2 | 5 | 5 |
| 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 = 3.12358255
b = 8
Now the whole thing:
3.12358255 x 108
Check your work:
108 = 100,000,000 x 3.12358255 = 312,358,255
| 312,358,253 | 312,358,254 | 312,358,256 | 312,358,257 |
| 3.12358253 x 108 | 3.12358254 x 108 | 3.12358256 x 108 | 3.12358257 x 108 |