Q: How is the number 11,221,413 written in Scientific Notation?
A: 1.1221413 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 11,221,413 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 | . | 1 | 2 | 2 | 1 | 4 | 1 | 3 |
| 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 = 1.1221413
b = 7
Now the whole thing:
1.1221413 x 107
Check your work:
107 = 10,000,000 x 1.1221413 = 11,221,413
| 11,221,411 | 11,221,412 | 11,221,414 | 11,221,415 |
| 1.1221411 x 107 | 1.1221412 x 107 | 1.1221414 x 107 | 1.1221415 x 107 |