Q: How is the number 16,872,219 written in Scientific Notation?
A: 1.6872219 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 16,872,219 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 | 8 | 7 | 2 | 2 | 1 | 9 |
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 = 1.6872219
b = 7
Now the whole thing:
1.6872219 x 107
Check your work:
107 = 10,000,000 x 1.6872219 = 16,872,219
16,872,217 | 16,872,218 | 16,872,220 | 16,872,221 |
1.6872217 x 107 | 1.6872218 x 107 | 1.687222 x 107 | 1.6872221 x 107 |