Answer: nd the mistakes in the proofs that the sum of any two rational numbers is a
Chapter 4, Problem 4.110(choose chapter or problem)
nd the mistakes in the proofs that the sum of any two rational numbers is a rational number.Proof: Suppose r and s are rational numbers. Then r =a/b and s =c/d for some integers a,b,c, andd with b =0 andd =0 (by denition of rational). Then r +s = a b + c d .But this is a sum of two fractions, which is a fraction. So r +s is a rational number since a rational number is a fraction.
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