Q: How is the number 10,725,225 written in Scientific Notation?
A: 1.0725225 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 10,725,225 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: | 1 | . | 0 | 7 | 2 | 5 | 2 | 2 | 5 |
| 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 = 1.0725225
b = 7
Now the whole thing:
1.0725225 x 107
Check your work:
107 = 10,000,000 x 1.0725225 = 10,725,225
| 10,725,223 | 10,725,224 | 10,725,226 | 10,725,227 |
| 1.0725223 x 107 | 1.0725224 x 107 | 1.0725226 x 107 | 1.0725227 x 107 |