Q: How is the number 21,402,404 written in Scientific Notation?
A: 2.1402404 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 21,402,404 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 | 4 | 0 | 2 | 4 | 0 | 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 = 2.1402404
b = 7
Now the whole thing:
2.1402404 x 107
Check your work:
107 = 10,000,000 x 2.1402404 = 21,402,404
21,402,402 | 21,402,403 | 21,402,405 | 21,402,406 |
2.1402402 x 107 | 2.1402403 x 107 | 2.1402405 x 107 | 2.1402406 x 107 |