Q: How is the number 11,781,440 written in Scientific Notation?
A: 1.178144 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 11,781,440 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: | 1 | . | 1 | 7 | 8 | 1 | 4 | 4 | 0 |
| 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 = 1.178144 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
1.178144 x 107
Check your work:
107 = 10,000,000 x 1.178144 = 11,781,440
| 11,781,438 | 11,781,439 | 11,781,441 | 11,781,442 |
| 1.1781438 x 107 | 1.1781439 x 107 | 1.1781441 x 107 | 1.1781442 x 107 |