Q: How is the number 462,457,414 written in Scientific Notation?
A: 4.62457414 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 462,457,414 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 | . | 6 | 2 | 4 | 5 | 7 | 4 | 1 | 4 |
| 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 = 4.62457414
b = 8
Now the whole thing:
4.62457414 x 108
Check your work:
108 = 100,000,000 x 4.62457414 = 462,457,414
| 462,457,412 | 462,457,413 | 462,457,415 | 462,457,416 |
| 4.62457412 x 108 | 4.62457413 x 108 | 4.62457415 x 108 | 4.62457416 x 108 |