Question

How does multiplying several measurements affect precision?

Answer 1

see below

Explanation:

if you make only a measurement you can't say nothing about the precision with which you know its value.
the precision is the capacity by an instrument or by an operator or by a method to give ripetible results.
You can value precision making more measurement
the relative precision is
`d=sqrt((Sigma_i (x_n- x_a)^2)/(n-1))`
where
`(Sigma_i (x_n- x_a)^2`
is the square of the difference between each valour (xn ) andthe average valour (xa). n= the number of time that you have make the measure
Generally several times you measure, the more accurate is the result