Q: How is the number 265,524,118 written in Scientific Notation?
A: 2.65524118 x 108
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 265,524,118 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 | . | 6 | 5 | 5 | 2 | 4 | 1 | 1 | 8 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 2.65524118
b = 8
Now the whole thing:
2.65524118 x 108
Check your work:
108 = 100,000,000 x 2.65524118 = 265,524,118
| 265,524,116 | 265,524,117 | 265,524,119 | 265,524,120 |
| 2.65524116 x 108 | 2.65524117 x 108 | 2.65524119 x 108 | 2.6552412 x 108 |