Answer the following questions on the basic terminology of real numbers
MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems
Problem
Answer the following questions on the basic terminology of real numbers.
(i) Define a real number and an irrational number.
(ii) State the condition on the decimal expansion of a real number that guarantees it is rational.
(iii) Give two examples each of the following and write each example in decimal form:
(a) a terminating rational decimal,
(b) a non-terminating recurring rational decimal,
(c) a non-terminating non-recurring decimal.