Q: How is the number 296,174,787 written in Scientific Notation?
A: 2.96174787 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 296,174,787 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 | . | 9 | 6 | 1 | 7 | 4 | 7 | 8 | 7 |
| 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 = 2.96174787
b = 8
Now the whole thing:
2.96174787 x 108
Check your work:
108 = 100,000,000 x 2.96174787 = 296,174,787
| 296,174,785 | 296,174,786 | 296,174,788 | 296,174,789 |
| 2.96174785 x 108 | 2.96174786 x 108 | 2.96174788 x 108 | 2.96174789 x 108 |