Q: How is the number 536,233,100 written in Scientific Notation?
A: 5.362331 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 536,233,100 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: | 5 | . | 3 | 6 | 2 | 3 | 3 | 1 | 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 = 5.362331 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
5.362331 x 108
Check your work:
108 = 100,000,000 x 5.362331 = 536,233,100
| 536,233,098 | 536,233,099 | 536,233,101 | 536,233,102 |
| 5.36233098 x 108 | 5.36233099 x 108 | 5.36233101 x 108 | 5.36233102 x 108 |