Q: How is the number 18,165,177 written in Scientific Notation?
A: 1.8165177 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 18,165,177 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 | . | 8 | 1 | 6 | 5 | 1 | 7 | 7 |
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 = 1.8165177
b = 7
Now the whole thing:
1.8165177 x 107
Check your work:
107 = 10,000,000 x 1.8165177 = 18,165,177
18,165,175 | 18,165,176 | 18,165,178 | 18,165,179 |
1.8165175 x 107 | 1.8165176 x 107 | 1.8165178 x 107 | 1.8165179 x 107 |