00:01
So first we'll carry out the calculation, the simple mathematical calculation of 7 .8 minus 2 .03.
00:12
And we get 5 .77.
00:17
Now we'll determine the absolute uncertainty.
00:21
The absolute uncertainty that i will call ey is going to be equal to the square root of the uncertainty of 7 .8, which is 0 .3.
00:34
Squared plus the uncertainty of the 2 .03, 0 .02 squared, and we take the square root.
00:45
And we get an uncertainty of 0 .301.
00:56
So we typically round that to just one significant figure.
01:02
So the uncertainty is in the first decimal place.
01:05
So the answer is in the first decimal place.
01:07
Should be 5 .8 plus or minus 0 .3.
01:17
Then for the next one, we'll do the simple multiplication, 8 .24 times 0 .012 gives us 8 .24.
01:41
0 .012 0 .0 .08888.
01:55
Then we'll calculate the relative uncertainty, which is ey over y.
02:01
That'll be equal to a square root.
02:04
In the case of multiplication, which relative uncertainty we're working with instead of absolute uncertainty, but the equation is essentially the same...