Q: How is the number 62,342,661 written in Scientific Notation?
A: 6.2342661 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 62,342,661 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: | 6 | . | 2 | 3 | 4 | 2 | 6 | 6 | 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 = 6.2342661
b = 7
Now the whole thing:
6.2342661 x 107
Check your work:
107 = 10,000,000 x 6.2342661 = 62,342,661
62,342,659 | 62,342,660 | 62,342,662 | 62,342,663 |
6.2342659 x 107 | 6.234266 x 107 | 6.2342662 x 107 | 6.2342663 x 107 |