Q: How is the number 226,342,548 written in Scientific Notation?
A: 2.26342548 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 226,342,548 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: | 2 | . | 2 | 6 | 3 | 4 | 2 | 5 | 4 | 8 |
| 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 = 2.26342548
b = 8
Now the whole thing:
2.26342548 x 108
Check your work:
108 = 100,000,000 x 2.26342548 = 226,342,548
| 226,342,546 | 226,342,547 | 226,342,549 | 226,342,550 |
| 2.26342546 x 108 | 2.26342547 x 108 | 2.26342549 x 108 | 2.2634255 x 108 |