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Is the number 5+(−1)5 + (-1) rational or irrational?\newlineChoices:\newline(A) rational\newline(B) irrational

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Full solution

Q. Is the number 5+(−1)5 + (-1) rational or irrational?\newlineChoices:\newline(A) rational\newline(B) irrational
  1. Evaluate 5+−15 + -1: Evaluate 5+−15 + -1.\newlineAdd 55 and −1-1.\newline5+−1=45 + -1 = 4
  2. Add 55 and −1-1: We found:\newline5+(−1)=45 + (-1) = 4\newlineIdentify whether 5+(−1)5 + (-1) is a rational or irrational number.\newline44 is a whole number, and all whole numbers are rational numbers.\newlineTherefore, 5+(−1)5 + (-1) is a rational number.

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