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Prove the sum of a rational number and an irrational number is irrational. Discrete math

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter7: The Properties Of Real Numbers

Section: Chapter Questions

Problem 406PT: PRACTICE TEST 406. For the numbers 0,18349..., 0.2, 1,67, list the (a) rational numbers and (b)...

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Similar questions

(a) What does the set of natural numbers consists of? What does the set of integers consist of? Give an example of an integer that is not a natural number. (b) What does the set of rational number consist of? Give an example of a rational number that is not an integer. (c) What does the set of rational numbers consist of? Give an example of an irrational number. (d) What does the set of real numbers consist of?
PRACTICE TEST 406. For the numbers 0,18349..., 0.2, 1,67, list the (a) rational numbers and (b) irrational numbers.
Give an example of each of the following: (a) A natural number (b) An integer that is not a natural number (c) A rational number that is not a integer (d) An rational number
If a whole number is not a natural number, what must the number be?