Q: How is the number 46,114,164 written in Scientific Notation?
A: 4.6114164 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 46,114,164 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: | 4 | . | 6 | 1 | 1 | 4 | 1 | 6 | 4 |
| 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 = 4.6114164
b = 7
Now the whole thing:
4.6114164 x 107
Check your work:
107 = 10,000,000 x 4.6114164 = 46,114,164
| 46,114,162 | 46,114,163 | 46,114,165 | 46,114,166 |
| 4.6114162 x 107 | 4.6114163 x 107 | 4.6114165 x 107 | 4.6114166 x 107 |