Q: How is the number 90,813,893 written in Scientific Notation?
A: 9.0813893 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 90,813,893 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 | . | 0 | 8 | 1 | 3 | 8 | 9 | 3 |
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 = 9.0813893
b = 7
Now the whole thing:
9.0813893 x 107
Check your work:
107 = 10,000,000 x 9.0813893 = 90,813,893
90,813,891 | 90,813,892 | 90,813,894 | 90,813,895 |
9.0813891 x 107 | 9.0813892 x 107 | 9.0813894 x 107 | 9.0813895 x 107 |