Q: How is the number 722,457,241 written in Scientific Notation?
A: 7.22457241 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 722,457,241 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 | 4 | 5 | 7 | 2 | 4 | 1 |
| 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 = 7.22457241
b = 8
Now the whole thing:
7.22457241 x 108
Check your work:
108 = 100,000,000 x 7.22457241 = 722,457,241
| 722,457,239 | 722,457,240 | 722,457,242 | 722,457,243 |
| 7.22457239 x 108 | 7.2245724 x 108 | 7.22457242 x 108 | 7.22457243 x 108 |