Q: How is the number 605,316,019 written in Scientific Notation?
A: 6.05316019 x 108
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 605,316,019 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 | . | 0 | 5 | 3 | 1 | 6 | 0 | 1 | 9 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 6.05316019
b = 8
Now the whole thing:
6.05316019 x 108
Check your work:
108 = 100,000,000 x 6.05316019 = 605,316,019
| 605,316,017 | 605,316,018 | 605,316,020 | 605,316,021 |
| 6.05316017 x 108 | 6.05316018 x 108 | 6.0531602 x 108 | 6.05316021 x 108 |