Q: How is the number 640,564,300 written in Scientific Notation?
A: 6.405643 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 640,564,300 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: | 6 | . | 4 | 0 | 5 | 6 | 4 | 3 | 0 | 0 |
| 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 = 6.405643 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
6.405643 x 108
Check your work:
108 = 100,000,000 x 6.405643 = 640,564,300
| 640,564,298 | 640,564,299 | 640,564,301 | 640,564,302 |
| 6.40564298 x 108 | 6.40564299 x 108 | 6.40564301 x 108 | 6.40564302 x 108 |