Q: How is the number 81,085,606 written in Scientific Notation?
A: 8.1085606 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 81,085,606 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 | . | 1 | 0 | 8 | 5 | 6 | 0 | 6 |
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 = 8.1085606
b = 7
Now the whole thing:
8.1085606 x 107
Check your work:
107 = 10,000,000 x 8.1085606 = 81,085,606
81,085,604 | 81,085,605 | 81,085,607 | 81,085,608 |
8.1085604 x 107 | 8.1085605 x 107 | 8.1085607 x 107 | 8.1085608 x 107 |