Q: How is the number 36,443,448 written in Scientific Notation?
A: 3.6443448 x 107
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 36,443,448 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 | . | 6 | 4 | 4 | 3 | 4 | 4 | 8 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 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 = 3.6443448
b = 7
Now the whole thing:
3.6443448 x 107
Check your work:
107 = 10,000,000 x 3.6443448 = 36,443,448
| 36,443,446 | 36,443,447 | 36,443,449 | 36,443,450 |
| 3.6443446 x 107 | 3.6443447 x 107 | 3.6443449 x 107 | 3.644345 x 107 |