Q: How is the number 66,116,408 written in Scientific Notation?
A: 6.6116408 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 66,116,408 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: | 6 | . | 6 | 1 | 1 | 6 | 4 | 0 | 8 |
| 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 = 6.6116408
b = 7
Now the whole thing:
6.6116408 x 107
Check your work:
107 = 10,000,000 x 6.6116408 = 66,116,408
| 66,116,406 | 66,116,407 | 66,116,409 | 66,116,410 |
| 6.6116406 x 107 | 6.6116407 x 107 | 6.6116409 x 107 | 6.611641 x 107 |