Q: How is the number 98,101,998 written in Scientific Notation?
A: 9.8101998 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 98,101,998 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: | 9 | . | 8 | 1 | 0 | 1 | 9 | 9 | 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 = 9.8101998
b = 7
Now the whole thing:
9.8101998 x 107
Check your work:
107 = 10,000,000 x 9.8101998 = 98,101,998
| 98,101,996 | 98,101,997 | 98,101,999 | 98,102,000 |
| 9.8101996 x 107 | 9.8101997 x 107 | 9.8101999 x 107 | 9.8102 x 107 |