Q: How is the number 151,997,084 written in Scientific Notation?
A: 1.51997084 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 151,997,084 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: | 1 | . | 5 | 1 | 9 | 9 | 7 | 0 | 8 | 4 |
| 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 = 1.51997084
b = 8
Now the whole thing:
1.51997084 x 108
Check your work:
108 = 100,000,000 x 1.51997084 = 151,997,084
| 151,997,082 | 151,997,083 | 151,997,085 | 151,997,086 |
| 1.51997082 x 108 | 1.51997083 x 108 | 1.51997085 x 108 | 1.51997086 x 108 |