Q: How is the number 67,426,198 written in Scientific Notation?
A: 6.7426198 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 67,426,198 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 | . | 7 | 4 | 2 | 6 | 1 | 9 | 8 |
| 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 = 6.7426198
b = 7
Now the whole thing:
6.7426198 x 107
Check your work:
107 = 10,000,000 x 6.7426198 = 67,426,198
| 67,426,196 | 67,426,197 | 67,426,199 | 67,426,200 |
| 6.7426196 x 107 | 6.7426197 x 107 | 6.7426199 x 107 | 6.74262 x 107 |