Q: How is the number 764,012,667 written in Scientific Notation?
A: 7.64012667 x 108
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 764,012,667 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 | . | 6 | 4 | 0 | 1 | 2 | 6 | 6 | 7 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 7.64012667
b = 8
Now the whole thing:
7.64012667 x 108
Check your work:
108 = 100,000,000 x 7.64012667 = 764,012,667
| 764,012,665 | 764,012,666 | 764,012,668 | 764,012,669 |
| 7.64012665 x 108 | 7.64012666 x 108 | 7.64012668 x 108 | 7.64012669 x 108 |