Q: How is the number 48,362,223 written in Scientific Notation?
A: 4.8362223 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 48,362,223 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 | 3 | 6 | 2 | 2 | 2 | 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 = 4.8362223
b = 7
Now the whole thing:
4.8362223 x 107
Check your work:
107 = 10,000,000 x 4.8362223 = 48,362,223
48,362,221 | 48,362,222 | 48,362,224 | 48,362,225 |
4.8362221 x 107 | 4.8362222 x 107 | 4.8362224 x 107 | 4.8362225 x 107 |