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Exercise 1.2

Q.1: State whether the following statements are true or false. Justify your answers.

  1. Every irrational number is a real number.

  2. Every point on the number line is of the form m, where m is a natural number.

  3. Every real number is an irrational number.

Q.2. Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Q.3. Show how 5 can be represented on the number line.