Q: How is the number 47,016,654 written in Scientific Notation?
A: 4.7016654 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 47,016,654 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: | 4 | . | 7 | 0 | 1 | 6 | 6 | 5 | 4 |
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 = 4.7016654
b = 7
Now the whole thing:
4.7016654 x 107
Check your work:
107 = 10,000,000 x 4.7016654 = 47,016,654
47,016,652 | 47,016,653 | 47,016,655 | 47,016,656 |
4.7016652 x 107 | 4.7016653 x 107 | 4.7016655 x 107 | 4.7016656 x 107 |