Q: How is the number 400,414,501 written in Scientific Notation?
A: 4.00414501 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 400,414,501 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 | . | 0 | 0 | 4 | 1 | 4 | 5 | 0 | 1 |
| 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 = 4.00414501
b = 8
Now the whole thing:
4.00414501 x 108
Check your work:
108 = 100,000,000 x 4.00414501 = 400,414,501
| 400,414,499 | 400,414,500 | 400,414,502 | 400,414,503 |
| 4.00414499 x 108 | 4.004145 x 108 | 4.00414502 x 108 | 4.00414503 x 108 |