Q: How is the number 23,220,052 written in Scientific Notation?
A: 2.3220052 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 23,220,052 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 | . | 3 | 2 | 2 | 0 | 0 | 5 | 2 |
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 = 2.3220052
b = 7
Now the whole thing:
2.3220052 x 107
Check your work:
107 = 10,000,000 x 2.3220052 = 23,220,052
23,220,050 | 23,220,051 | 23,220,053 | 23,220,054 |
2.322005 x 107 | 2.3220051 x 107 | 2.3220053 x 107 | 2.3220054 x 107 |