Q: How is the number 257,800,411 written in Scientific Notation?
A: 2.57800411 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 257,800,411 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 | . | 5 | 7 | 8 | 0 | 0 | 4 | 1 | 1 |
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 = 2.57800411
b = 8
Now the whole thing:
2.57800411 x 108
Check your work:
108 = 100,000,000 x 2.57800411 = 257,800,411
257,800,409 | 257,800,410 | 257,800,412 | 257,800,413 |
2.57800409 x 108 | 2.5780041 x 108 | 2.57800412 x 108 | 2.57800413 x 108 |