Q: How is the number 782,648,208 written in Scientific Notation?
A: 7.82648208 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 782,648,208 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: | 7 | . | 8 | 2 | 6 | 4 | 8 | 2 | 0 | 8 |
| 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 = 7.82648208
b = 8
Now the whole thing:
7.82648208 x 108
Check your work:
108 = 100,000,000 x 7.82648208 = 782,648,208
| 782,648,206 | 782,648,207 | 782,648,209 | 782,648,210 |
| 7.82648206 x 108 | 7.82648207 x 108 | 7.82648209 x 108 | 7.8264821 x 108 |