Q: How is the number 52,142,345 written in Scientific Notation?
A: 5.2142345 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 52,142,345 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 | . | 2 | 1 | 4 | 2 | 3 | 4 | 5 |
| 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 = 5.2142345
b = 7
Now the whole thing:
5.2142345 x 107
Check your work:
107 = 10,000,000 x 5.2142345 = 52,142,345
| 52,142,343 | 52,142,344 | 52,142,346 | 52,142,347 |
| 5.2142343 x 107 | 5.2142344 x 107 | 5.2142346 x 107 | 5.2142347 x 107 |