Q: How is the number 64,198,401 written in Scientific Notation?
A: 6.4198401 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 64,198,401 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: | 6 | . | 4 | 1 | 9 | 8 | 4 | 0 | 1 |
| 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 = 6.4198401
b = 7
Now the whole thing:
6.4198401 x 107
Check your work:
107 = 10,000,000 x 6.4198401 = 64,198,401
| 64,198,399 | 64,198,400 | 64,198,402 | 64,198,403 |
| 6.4198399 x 107 | 6.41984 x 107 | 6.4198402 x 107 | 6.4198403 x 107 |