Q: How is the number 203,513,013 written in Scientific Notation?
A: 2.03513013 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 203,513,013 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 | . | 0 | 3 | 5 | 1 | 3 | 0 | 1 | 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 = 2.03513013
b = 8
Now the whole thing:
2.03513013 x 108
Check your work:
108 = 100,000,000 x 2.03513013 = 203,513,013
203,513,011 | 203,513,012 | 203,513,014 | 203,513,015 |
2.03513011 x 108 | 2.03513012 x 108 | 2.03513014 x 108 | 2.03513015 x 108 |