Q: How is the number 58,931,997 written in Scientific Notation?
A: 5.8931997 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 58,931,997 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: | 5 | . | 8 | 9 | 3 | 1 | 9 | 9 | 7 |
| 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 = 5.8931997
b = 7
Now the whole thing:
5.8931997 x 107
Check your work:
107 = 10,000,000 x 5.8931997 = 58,931,997
| 58,931,995 | 58,931,996 | 58,931,998 | 58,931,999 |
| 5.8931995 x 107 | 5.8931996 x 107 | 5.8931998 x 107 | 5.8931999 x 107 |