Decimal expansion of a rational number is terminating if in its denominator there is:
Gaining a clear understanding of the Number System is essential for success in mathematics. This document provides NCERT Solutions for Class 9 Mathematics Chapter 1 Number System with MCQ-based questions from the exercise. It covers key concepts such as rational and irrational numbers terminating and non-terminating decimals and real numbers. These multiple-choice questions are structured to enhance logical reasoning and problem-solving abilities. Following the NCERT syllabus this resource is perfect for exam preparation quick revision and self-assessment. By solving these MCQs students can improve accuracy strengthen their mathematical foundation and boost confidence. Regular practice will ensure a deeper grasp of concepts making problem-solving easier in both exams and real-life applications.
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A rational number p/q has a terminating decimal expansion if and only if the prime factorization of its denominator q (after simplify the fraction) contains only the prime factorization of its denominator q (after simplifying the fraction) contains only the prime factor 2 and/or 5.
(a). 2 or 5
If the denominator has only 2, and 5, or both(e.g., 10, 20, 25, etc.), the decimal expansion terminates.
(b). 3 or 5
The presence of 3 in the denominator(e.g., 1/3 = 0.3333…) causes a non-terminating repeating decimal.
(c). 9 or 11
9 = 3³ and 11 are not factors that produce a terminating decimal.
(d) 3 or 7
Both 3 and 7 cause non-terminating repeating decimals.
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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