Q: How is the number 13,013,205 written in Scientific Notation?
A: 1.3013205 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 13,013,205 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 | . | 3 | 0 | 1 | 3 | 2 | 0 | 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 = 1.3013205
b = 7
Now the whole thing:
1.3013205 x 107
Check your work:
107 = 10,000,000 x 1.3013205 = 13,013,205
| 13,013,203 | 13,013,204 | 13,013,206 | 13,013,207 |
| 1.3013203 x 107 | 1.3013204 x 107 | 1.3013206 x 107 | 1.3013207 x 107 |