Q: How is the number 30,786,190 written in Scientific Notation?
A: 3.078619 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 30,786,190 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: | 3 | . | 0 | 7 | 8 | 6 | 1 | 9 | 0 |
| 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 = 3.078619 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
3.078619 x 107
Check your work:
107 = 10,000,000 x 3.078619 = 30,786,190
| 30,786,188 | 30,786,189 | 30,786,191 | 30,786,192 |
| 3.0786188 x 107 | 3.0786189 x 107 | 3.0786191 x 107 | 3.0786192 x 107 |