Q: How is the number 600,400,242 written in Scientific Notation?
A: 6.00400242 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 600,400,242 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 | 0 | 4 | 0 | 0 | 2 | 4 | 2 |
| 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 = 6.00400242
b = 8
Now the whole thing:
6.00400242 x 108
Check your work:
108 = 100,000,000 x 6.00400242 = 600,400,242
| 600,400,240 | 600,400,241 | 600,400,243 | 600,400,244 |
| 6.0040024 x 108 | 6.00400241 x 108 | 6.00400243 x 108 | 6.00400244 x 108 |