Q: How is the number 638,546,175 written in Scientific Notation?
A: 6.38546175 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 638,546,175 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: | 6 | . | 3 | 8 | 5 | 4 | 6 | 1 | 7 | 5 |
| 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 = 6.38546175
b = 8
Now the whole thing:
6.38546175 x 108
Check your work:
108 = 100,000,000 x 6.38546175 = 638,546,175
| 638,546,173 | 638,546,174 | 638,546,176 | 638,546,177 |
| 6.38546173 x 108 | 6.38546174 x 108 | 6.38546176 x 108 | 6.38546177 x 108 |