Q: How is the number 25,003,125 written in Scientific Notation?
A: 2.5003125 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 25,003,125 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: | 2 | . | 5 | 0 | 0 | 3 | 1 | 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 = 2.5003125
b = 7
Now the whole thing:
2.5003125 x 107
Check your work:
107 = 10,000,000 x 2.5003125 = 25,003,125
| 25,003,123 | 25,003,124 | 25,003,126 | 25,003,127 |
| 2.5003123 x 107 | 2.5003124 x 107 | 2.5003126 x 107 | 2.5003127 x 107 |