. The error in multiplication of two numbers (x= a×b) is given by
+-∆x/x = +-( ∆a/a +∆b/b)
+-∆x/x = +-( ∆a/a - ∆b/b)
∆x/x = ∆a+ ∆b
∆x = ∆a × ∆b
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Propagation of Errors in Quotient:
Suppose a result x is obtained by the quotient of two quantities say a and b. ... Thus, when a result involves the quotient of two observed quantities, the relative error in the result is equal to the sum of the relative error in the observed quantities.
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