Q: How is the number 10,201,000 written in Scientific Notation?
A: 1.0201 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 10,201,000 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 | . | 0 | 2 | 0 | 1 | 0 | 0 | 0 |
| 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 = 1.0201 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
1.0201 x 107
Check your work:
107 = 10,000,000 x 1.0201 = 10,201,000
| 10,200,998 | 10,200,999 | 10,201,001 | 10,201,002 |
| 1.0200998 x 107 | 1.0200999 x 107 | 1.0201001 x 107 | 1.0201002 x 107 |