Q: How is the number 67,314,066 written in Scientific Notation?
A: 6.7314066 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 67,314,066 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 | . | 7 | 3 | 1 | 4 | 0 | 6 | 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 = 6.7314066
b = 7
Now the whole thing:
6.7314066 x 107
Check your work:
107 = 10,000,000 x 6.7314066 = 67,314,066
| 67,314,064 | 67,314,065 | 67,314,067 | 67,314,068 |
| 6.7314064 x 107 | 6.7314065 x 107 | 6.7314067 x 107 | 6.7314068 x 107 |