Q: How is the number 761,764,487 written in Scientific Notation?
A: 7.61764487 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 761,764,487 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: | 7 | . | 6 | 1 | 7 | 6 | 4 | 4 | 8 | 7 |
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 = 7.61764487
b = 8
Now the whole thing:
7.61764487 x 108
Check your work:
108 = 100,000,000 x 7.61764487 = 761,764,487
761,764,485 | 761,764,486 | 761,764,488 | 761,764,489 |
7.61764485 x 108 | 7.61764486 x 108 | 7.61764488 x 108 | 7.61764489 x 108 |