Q: How is the number 35,632,246 written in Scientific Notation?
A: 3.5632246 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 35,632,246 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: | 3 | . | 5 | 6 | 3 | 2 | 2 | 4 | 6 |
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 = 3.5632246
b = 7
Now the whole thing:
3.5632246 x 107
Check your work:
107 = 10,000,000 x 3.5632246 = 35,632,246
35,632,244 | 35,632,245 | 35,632,247 | 35,632,248 |
3.5632244 x 107 | 3.5632245 x 107 | 3.5632247 x 107 | 3.5632248 x 107 |