Q: How is the number 71,607,135 written in Scientific Notation?
A: 7.1607135 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 71,607,135 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: | 7 | . | 1 | 6 | 0 | 7 | 1 | 3 | 5 |
| 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 = 7.1607135
b = 7
Now the whole thing:
7.1607135 x 107
Check your work:
107 = 10,000,000 x 7.1607135 = 71,607,135
| 71,607,133 | 71,607,134 | 71,607,136 | 71,607,137 |
| 7.1607133 x 107 | 7.1607134 x 107 | 7.1607136 x 107 | 7.1607137 x 107 |