Q: How is the number 482,837,513 written in Scientific Notation?
A: 4.82837513 x 108
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 482,837,513 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: | 4 | . | 8 | 2 | 8 | 3 | 7 | 5 | 1 | 3 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 4.82837513
b = 8
Now the whole thing:
4.82837513 x 108
Check your work:
108 = 100,000,000 x 4.82837513 = 482,837,513
482,837,511 | 482,837,512 | 482,837,514 | 482,837,515 |
4.82837511 x 108 | 4.82837512 x 108 | 4.82837514 x 108 | 4.82837515 x 108 |