Q: How is the number 12,023,400 written in Scientific Notation?
A: 1.20234 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 12,023,400 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 | . | 2 | 0 | 2 | 3 | 4 | 0 | 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 = 1.20234 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
1.20234 x 107
Check your work:
107 = 10,000,000 x 1.20234 = 12,023,400
| 12,023,398 | 12,023,399 | 12,023,401 | 12,023,402 |
| 1.2023398 x 107 | 1.2023399 x 107 | 1.2023401 x 107 | 1.2023402 x 107 |