Q: How is the number 183,011,793 written in Scientific Notation?
A: 1.83011793 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 183,011,793 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: | 1 | . | 8 | 3 | 0 | 1 | 1 | 7 | 9 | 3 |
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 = 1.83011793
b = 8
Now the whole thing:
1.83011793 x 108
Check your work:
108 = 100,000,000 x 1.83011793 = 183,011,793
183,011,791 | 183,011,792 | 183,011,794 | 183,011,795 |
1.83011791 x 108 | 1.83011792 x 108 | 1.83011794 x 108 | 1.83011795 x 108 |