Q: How is the number 290,830,681 written in Scientific Notation?
A: 2.90830681 x 108
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 290,830,681 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: | 2 | . | 9 | 0 | 8 | 3 | 0 | 6 | 8 | 1 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 2.90830681
b = 8
Now the whole thing:
2.90830681 x 108
Check your work:
108 = 100,000,000 x 2.90830681 = 290,830,681
290,830,679 | 290,830,680 | 290,830,682 | 290,830,683 |
2.90830679 x 108 | 2.9083068 x 108 | 2.90830682 x 108 | 2.90830683 x 108 |