Q: How is the number 468,863,584 written in Scientific Notation?
A: 4.68863584 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 468,863,584 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 | . | 6 | 8 | 8 | 6 | 3 | 5 | 8 | 4 |
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 = 4.68863584
b = 8
Now the whole thing:
4.68863584 x 108
Check your work:
108 = 100,000,000 x 4.68863584 = 468,863,584
468,863,582 | 468,863,583 | 468,863,585 | 468,863,586 |
4.68863582 x 108 | 4.68863583 x 108 | 4.68863585 x 108 | 4.68863586 x 108 |