Q: How is the number 14,124,107 written in Scientific Notation?
A: 1.4124107 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 14,124,107 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 | . | 4 | 1 | 2 | 4 | 1 | 0 | 7 |
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 = 1.4124107
b = 7
Now the whole thing:
1.4124107 x 107
Check your work:
107 = 10,000,000 x 1.4124107 = 14,124,107
14,124,105 | 14,124,106 | 14,124,108 | 14,124,109 |
1.4124105 x 107 | 1.4124106 x 107 | 1.4124108 x 107 | 1.4124109 x 107 |