Q: How is the number 82,381,681 written in Scientific Notation?
A: 8.2381681 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 82,381,681 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: | 8 | . | 2 | 3 | 8 | 1 | 6 | 8 | 1 |
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 = 8.2381681
b = 7
Now the whole thing:
8.2381681 x 107
Check your work:
107 = 10,000,000 x 8.2381681 = 82,381,681
82,381,679 | 82,381,680 | 82,381,682 | 82,381,683 |
8.2381679 x 107 | 8.238168 x 107 | 8.2381682 x 107 | 8.2381683 x 107 |