Q: How is the number 21,475,547 written in Scientific Notation?
A: 2.1475547 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 21,475,547 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 | 7 | 5 | 5 | 4 | 7 |
| 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 = 2.1475547
b = 7
Now the whole thing:
2.1475547 x 107
Check your work:
107 = 10,000,000 x 2.1475547 = 21,475,547
| 21,475,545 | 21,475,546 | 21,475,548 | 21,475,549 |
| 2.1475545 x 107 | 2.1475546 x 107 | 2.1475548 x 107 | 2.1475549 x 107 |