Q: How is the number 11,651,246 written in Scientific Notation?
A: 1.1651246 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 11,651,246 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: | 1 | . | 1 | 6 | 5 | 1 | 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 = 1.1651246
b = 7
Now the whole thing:
1.1651246 x 107
Check your work:
107 = 10,000,000 x 1.1651246 = 11,651,246
11,651,244 | 11,651,245 | 11,651,247 | 11,651,248 |
1.1651244 x 107 | 1.1651245 x 107 | 1.1651247 x 107 | 1.1651248 x 107 |