Q: How is the number 25,451,523 written in Scientific Notation?
A: 2.5451523 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 25,451,523 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 | 4 | 5 | 1 | 5 | 2 | 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 = 2.5451523
b = 7
Now the whole thing:
2.5451523 x 107
Check your work:
107 = 10,000,000 x 2.5451523 = 25,451,523
25,451,521 | 25,451,522 | 25,451,524 | 25,451,525 |
2.5451521 x 107 | 2.5451522 x 107 | 2.5451524 x 107 | 2.5451525 x 107 |