Exercise 1.3 Question 3 ( i ) answer | Class 9th |

Описание: Exercise 1.3 of the NCERT Class 9 Maths textbook is from Chapter 1, "Number Systems," and focuses on decimal expansions of real numbers. The exercise helps students differentiate between rational and irrational numbers based on whether their decimal expansions are terminating/non-terminating recurring or non-terminating non-recurring, respectively. The exercise contains nine questions covering key concepts and applications: Key Questions and Topics Question 1: Writing given rational numbers in decimal form and identifying the type of decimal expansion (terminating or non-terminating recurring).Question 2: Predicting the decimal expansions of fractions like 2/7, 3/7, etc., using the known expansion of 1/7 without performing long division, by observing the remainders.Questions 3 & 4: Expressing given decimals (e.g., 0.666..., 0.4777..., 0.001001..., and 0.9999...) in the form \(p/q\), where \(p\) and \(q\) are integers and \(q\ne 0\).Question 5: Determining the maximum number of digits in the repeating block of the decimal expansion of 1/17.Question 6: Examining examples of rational numbers in \(p/q\) form with terminating decimal expansions to identify the property that \(q\) (the denominator) must satisfy.Question 7: Writing three numbers whose decimal expansions are non-terminating and non-recurring (irrational numbers).Question 8: Finding three different irrational numbers between two given rational numbers (e.g., 5/7 and 9/11).Question 9: Classifying given numbers (e.g., \(\sqrt{23}\), \(\sqrt{225}\), 0.3796, 7.478478..., 1.1010010001...) as rational or irrational.