Q: How is the number 72,218,447 written in Scientific Notation?
A: 7.2218447 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 72,218,447 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: | 7 | . | 2 | 2 | 1 | 8 | 4 | 4 | 7 |
| 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 = 7.2218447
b = 7
Now the whole thing:
7.2218447 x 107
Check your work:
107 = 10,000,000 x 7.2218447 = 72,218,447
| 72,218,445 | 72,218,446 | 72,218,448 | 72,218,449 |
| 7.2218445 x 107 | 7.2218446 x 107 | 7.2218448 x 107 | 7.2218449 x 107 |