Q: How is the number 34,305,449 written in Scientific Notation?
A: 3.4305449 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 34,305,449 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: | 3 | . | 4 | 3 | 0 | 5 | 4 | 4 | 9 |
| 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 = 3.4305449
b = 7
Now the whole thing:
3.4305449 x 107
Check your work:
107 = 10,000,000 x 3.4305449 = 34,305,449
| 34,305,447 | 34,305,448 | 34,305,450 | 34,305,451 |
| 3.4305447 x 107 | 3.4305448 x 107 | 3.430545 x 107 | 3.4305451 x 107 |