Q: How is the number 563,824,616 written in Scientific Notation?
A: 5.63824616 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 563,824,616 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 | . | 6 | 3 | 8 | 2 | 4 | 6 | 1 | 6 |
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 = 5.63824616
b = 8
Now the whole thing:
5.63824616 x 108
Check your work:
108 = 100,000,000 x 5.63824616 = 563,824,616
563,824,614 | 563,824,615 | 563,824,617 | 563,824,618 |
5.63824614 x 108 | 5.63824615 x 108 | 5.63824617 x 108 | 5.63824618 x 108 |