Q: How is the number 53,020,103 written in Scientific Notation?
A: 5.3020103 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 53,020,103 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: | 5 | . | 3 | 0 | 2 | 0 | 1 | 0 | 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 = 5.3020103
b = 7
Now the whole thing:
5.3020103 x 107
Check your work:
107 = 10,000,000 x 5.3020103 = 53,020,103
| 53,020,101 | 53,020,102 | 53,020,104 | 53,020,105 |
| 5.3020101 x 107 | 5.3020102 x 107 | 5.3020104 x 107 | 5.3020105 x 107 |