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 54,363,140 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: | 5 | . | 4 | 3 | 6 | 3 | 1 | 4 | 0 |
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 = 5.436314 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
5.436314 x 107
Check your work:
107 = 10,000,000 x 5.436314 = 54,363,140
54,363,138 | 54,363,139 | 54,363,141 | 54,363,142 |
5.4363138 x 107 | 5.4363139 x 107 | 5.4363141 x 107 | 5.4363142 x 107 |