Q: How is the number 805,005,146 written in Scientific Notation?
A: 8.05005146 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 805,005,146 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: | 8 | . | 0 | 5 | 0 | 0 | 5 | 1 | 4 | 6 |
| 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 = 8.05005146
b = 8
Now the whole thing:
8.05005146 x 108
Check your work:
108 = 100,000,000 x 8.05005146 = 805,005,146
| 805,005,144 | 805,005,145 | 805,005,147 | 805,005,148 |
| 8.05005144 x 108 | 8.05005145 x 108 | 8.05005147 x 108 | 8.05005148 x 108 |