Q: How is the number 90,546,520 written in Scientific Notation?
A: 9.054652 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 90,546,520 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: | 9 | . | 0 | 5 | 4 | 6 | 5 | 2 | 0 |
| 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 = 9.054652 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
9.054652 x 107
Check your work:
107 = 10,000,000 x 9.054652 = 90,546,520
| 90,546,518 | 90,546,519 | 90,546,521 | 90,546,522 |
| 9.0546518 x 107 | 9.0546519 x 107 | 9.0546521 x 107 | 9.0546522 x 107 |