Question

Case study-based questions are compulsory. Attempt any 4 subparts from each question.
Each question carries 1 mark.
Q13 • A number is called a rational number, if it can be written in the form p /q, where p and
q are integers and q ≠ 0.
• A number that cannot be expressed in the form p /q (where p and q are integers and
q ≠ 0) is called an irrational number.
• All rational numbers and all irrational numbers together make the collection of real
numbers.
• Decimal expansion of a rational number is either terminating or non-terminating
recurring, while the decimal expansion of an irrational number is non-terminating nonrecurring.
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• If r is a rational number and s is an irrational number, then r+s and r-s are irrationals.
Further, if r is a non-zero rational, then rs and r /s are irrationals
i) Every rational number is
(A) a natural number
(B) an integer
(C) a real number
(D) a whole number

ii) Between two rational numbers
(A) there is no rational number
(B) there is exactly one rational number
(C) there are infinitely many rational numbers
(D) there are only rational numbers and no irrational numbers

iii) Decimal representation of a rational number cannot be
(A) terminating
(B) non-terminating
(C) non-terminating repeating
(D) non-terminating non-repeating

iv) The product of any two irrational numbers is
(A) always an irrational number
(B) always a rational number
(C) always an integer
(D) sometimes rational, sometimes irrational

v) The decimal expansion of the number √2 is
(A) a finite decimal
(B) 1.41421
(C) non-terminating recurring
(D) non-terminating non-recurring

Answer 1

Answer:

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Step-by-step explanation:

F 1 v 1 u mam please find attached the following