Q: How is the number 228,322,582 written in Scientific Notation?
A: 2.28322582 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 228,322,582 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: | 2 | . | 2 | 8 | 3 | 2 | 2 | 5 | 8 | 2 |
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 = 2.28322582
b = 8
Now the whole thing:
2.28322582 x 108
Check your work:
108 = 100,000,000 x 2.28322582 = 228,322,582
228,322,580 | 228,322,581 | 228,322,583 | 228,322,584 |
2.2832258 x 108 | 2.28322581 x 108 | 2.28322583 x 108 | 2.28322584 x 108 |