Q: How is the number 21,835,672 written in Scientific Notation?
A: 2.1835672 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 21,835,672 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 | 8 | 3 | 5 | 6 | 7 | 2 |
| 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 = 2.1835672
b = 7
Now the whole thing:
2.1835672 x 107
Check your work:
107 = 10,000,000 x 2.1835672 = 21,835,672
| 21,835,670 | 21,835,671 | 21,835,673 | 21,835,674 |
| 2.183567 x 107 | 2.1835671 x 107 | 2.1835673 x 107 | 2.1835674 x 107 |