Q: How is the number 412,321,400 written in Scientific Notation?
A: 4.123214 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 412,321,400 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: | 4 | . | 1 | 2 | 3 | 2 | 1 | 4 | 0 | 0 |
| 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 = 4.123214 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
4.123214 x 108
Check your work:
108 = 100,000,000 x 4.123214 = 412,321,400
| 412,321,398 | 412,321,399 | 412,321,401 | 412,321,402 |
| 4.12321398 x 108 | 4.12321399 x 108 | 4.12321401 x 108 | 4.12321402 x 108 |