Q: How is the number 20,150,715 written in Scientific Notation?
A: 2.0150715 x 107
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 20,150,715 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 | 1 | 5 | 0 | 7 | 1 | 5 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 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 = 2.0150715
b = 7
Now the whole thing:
2.0150715 x 107
Check your work:
107 = 10,000,000 x 2.0150715 = 20,150,715
20,150,713 | 20,150,714 | 20,150,716 | 20,150,717 |
2.0150713 x 107 | 2.0150714 x 107 | 2.0150716 x 107 | 2.0150717 x 107 |