Q: How is the number 20,124,766 written in Scientific Notation?
A: 2.0124766 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 20,124,766 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 | 2 | 4 | 7 | 6 | 6 |
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 = 2.0124766
b = 7
Now the whole thing:
2.0124766 x 107
Check your work:
107 = 10,000,000 x 2.0124766 = 20,124,766
20,124,764 | 20,124,765 | 20,124,767 | 20,124,768 |
2.0124764 x 107 | 2.0124765 x 107 | 2.0124767 x 107 | 2.0124768 x 107 |