Q: How is the number 89,331,978 written in Scientific Notation?
A: 8.9331978 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 89,331,978 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 | . | 9 | 3 | 3 | 1 | 9 | 7 | 8 |
| 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 = 8.9331978
b = 7
Now the whole thing:
8.9331978 x 107
Check your work:
107 = 10,000,000 x 8.9331978 = 89,331,978
| 89,331,976 | 89,331,977 | 89,331,979 | 89,331,980 |
| 8.9331976 x 107 | 8.9331977 x 107 | 8.9331979 x 107 | 8.933198 x 107 |