Q: How is the number 12,008,593 written in Scientific Notation?
A: 1.2008593 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 12,008,593 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 | 0 | 8 | 5 | 9 | 3 |
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 = 1.2008593
b = 7
Now the whole thing:
1.2008593 x 107
Check your work:
107 = 10,000,000 x 1.2008593 = 12,008,593
12,008,591 | 12,008,592 | 12,008,594 | 12,008,595 |
1.2008591 x 107 | 1.2008592 x 107 | 1.2008594 x 107 | 1.2008595 x 107 |