Q: How is the number 21,325,634 written in Scientific Notation?
A: 2.1325634 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 21,325,634 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 | . | 1 | 3 | 2 | 5 | 6 | 3 | 4 |
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 = 2.1325634
b = 7
Now the whole thing:
2.1325634 x 107
Check your work:
107 = 10,000,000 x 2.1325634 = 21,325,634
21,325,632 | 21,325,633 | 21,325,635 | 21,325,636 |
2.1325632 x 107 | 2.1325633 x 107 | 2.1325635 x 107 | 2.1325636 x 107 |