Q: How is the number 95,396,341 written in Scientific Notation?
A: 9.5396341 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 95,396,341 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 | . | 5 | 3 | 9 | 6 | 3 | 4 | 1 |
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 = 9.5396341
b = 7
Now the whole thing:
9.5396341 x 107
Check your work:
107 = 10,000,000 x 9.5396341 = 95,396,341
95,396,339 | 95,396,340 | 95,396,342 | 95,396,343 |
9.5396339 x 107 | 9.539634 x 107 | 9.5396342 x 107 | 9.5396343 x 107 |