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Answers
1)
Why is 80,109 written as 8.0109 x 104 in scientific notation?
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 80,109 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 80,109
New Number: 8.0109
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 8 . 0 1 0 9
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.0109
b = 4
Now the whole thing:
8.0109 x 104
Step 4
Check your work:
104 = 10,000 x 8.0109 = 80,109
More Scientific Notation Examples
80,107 80,108 80,110 80,111
8.0107 x 104 8.0108 x 104 8.011 x1