Q: How is the number 322,454,498 written in Scientific Notation?
A: 3.22454498 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 322,454,498 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 | . | 2 | 2 | 4 | 5 | 4 | 4 | 9 | 8 |
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 = 3.22454498
b = 8
Now the whole thing:
3.22454498 x 108
Check your work:
108 = 100,000,000 x 3.22454498 = 322,454,498
322,454,496 | 322,454,497 | 322,454,499 | 322,454,500 |
3.22454496 x 108 | 3.22454497 x 108 | 3.22454499 x 108 | 3.224545 x 108 |