Solution Found!
Solution: Find the mistakes in the “proofs” that the sum of
Chapter 4, Problem 36E(choose chapter or problem)
In 35–39 find the mistakes in the “proofs” that the sum of any two rational numbers is a rational number.
“Proof: Let rational numbers \(r=\frac{1}{4} \text { and } s=\frac{1}{2}\) be given. be given.
Then \(r+s=\frac{1}{4}+\frac{1}{2}=3\), which is a rational number. This is what was to be shown.”
Text Transcription:
r = 1/4 and s = 1/2
r + s = 1/4 + 1/2 = 3
Questions & Answers
QUESTION:
In 35–39 find the mistakes in the “proofs” that the sum of any two rational numbers is a rational number.
“Proof: Let rational numbers \(r=\frac{1}{4} \text { and } s=\frac{1}{2}\) be given. be given.
Then \(r+s=\frac{1}{4}+\frac{1}{2}=3\), which is a rational number. This is what was to be shown.”
Text Transcription:
r = 1/4 and s = 1/2
r + s = 1/4 + 1/2 = 3
ANSWER:Solution:
Step 1 of 3 :
In this problem we have to find the mistakes in “proofs’’ that the sum of any two rational numbers is a rational number.