Q: How is the number 542,453,601 written in Scientific Notation?
A: 5.42453601 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 542,453,601 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 | . | 4 | 2 | 4 | 5 | 3 | 6 | 0 | 1 |
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 = 5.42453601
b = 8
Now the whole thing:
5.42453601 x 108
Check your work:
108 = 100,000,000 x 5.42453601 = 542,453,601
542,453,599 | 542,453,600 | 542,453,602 | 542,453,603 |
5.42453599 x 108 | 5.424536 x 108 | 5.42453602 x 108 | 5.42453603 x 108 |