Q: How is the number 12,535,614 written in Scientific Notation?
A: 1.2535614 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 12,535,614 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 | 5 | 3 | 5 | 6 | 1 | 4 |
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 = 1.2535614
b = 7
Now the whole thing:
1.2535614 x 107
Check your work:
107 = 10,000,000 x 1.2535614 = 12,535,614
12,535,612 | 12,535,613 | 12,535,615 | 12,535,616 |
1.2535612 x 107 | 1.2535613 x 107 | 1.2535615 x 107 | 1.2535616 x 107 |