Q: How is the number 80,678,214 written in Scientific Notation?
A: 8.0678214 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 80,678,214 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: | 8 | . | 0 | 6 | 7 | 8 | 2 | 1 | 4 |
| 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 = 8.0678214
b = 7
Now the whole thing:
8.0678214 x 107
Check your work:
107 = 10,000,000 x 8.0678214 = 80,678,214
| 80,678,212 | 80,678,213 | 80,678,215 | 80,678,216 |
| 8.0678212 x 107 | 8.0678213 x 107 | 8.0678215 x 107 | 8.0678216 x 107 |