0.6666 in p/q form is:
Enhancing conceptual clarity this document provides NCERT Solutions for Class 9 Mathematics Chapter 1 Number System with MCQ-based questions from the exercise. It includes multiple-choice questions with short answers covering topics like rational and irrational numbers terminating and non-terminating decimals and real numbers. These questions are structured to develop logical thinking and problem-solving skills. Following the NCERT syllabus this resource ensures exam-oriented preparation and easy understanding. It serves as a perfect tool for quick revision self-assessment and strengthening mathematical foundations. By practicing these MCQs students can improve accuracy boost confidence and effectively prepare for their academic evaluations while mastering the number system concepts efficiently.
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We are given the repeating decimal 0.6666… and need to express it in the form p/q.
Step 1: Let x = 0.6666…
Step 2: Multiply by 10 to shift the decimal point
10x = 6.666…
Step 3: Subtract the two equations
10x – x = 6.6666… – 0.6666..
9x = 6
Step 4: Solve for x
x = 6/9
Step 5: Simplify the fraction 6/9 = 2/3
Conclusion: The correct answer is 2/3 (option b).
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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We are given the repeating decimal 0.6666… and need to express it in the form p/q.
Step 1: Let x = 0.6666…
Step 2: Multiply by 10 to shift the decimal point
10x = 6.666…
Step 3: Subtract the two equations
10x – x = 6.6666… – 0.6666..
9x = 6
Step 4: Solve for x
x = 6/9
Step 5: Simplify the fraction 6/9 = 2/3
Conclusion: The correct answer is 2/3 (option b).