Q: How is the number 201,103,412 written in Scientific Notation?
A: 2.01103412 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 201,103,412 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 | . | 0 | 1 | 1 | 0 | 3 | 4 | 1 | 2 |
| 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 = 2.01103412
b = 8
Now the whole thing:
2.01103412 x 108
Check your work:
108 = 100,000,000 x 2.01103412 = 201,103,412
| 201,103,410 | 201,103,411 | 201,103,413 | 201,103,414 |
| 2.0110341 x 108 | 2.01103411 x 108 | 2.01103413 x 108 | 2.01103414 x 108 |