Q: How is the number 16,945,176 written in Scientific Notation?
A: 1.6945176 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 16,945,176 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 | . | 6 | 9 | 4 | 5 | 1 | 7 | 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 = 1.6945176
b = 7
Now the whole thing:
1.6945176 x 107
Check your work:
107 = 10,000,000 x 1.6945176 = 16,945,176
| 16,945,174 | 16,945,175 | 16,945,177 | 16,945,178 |
| 1.6945174 x 107 | 1.6945175 x 107 | 1.6945177 x 107 | 1.6945178 x 107 |