Exercise 1.1 Class 9 | Class 9 Maths Exercise 1.1

#mathsclass9 Exercise 1.1 Class 9 Exercise 1.1 Class 9 by @rajansir07 for Online classes Call- 9811757843 Class9Maths #NCERTClass9 #Class9NumberSystems #MathematicsClass9 #CBSEClass9Maths #ClassNineMaths #Exercise1Point1 #Ex1_1Solutions #NumberSystemsChapter1 #NCERTExercise1.1#MathsRevision #ExamPrep #BoardExamPrep #StudyWithMe #MathsHelp #NCERTSolutions #EasyMaths #LearnMaths NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1 focus on the Number Systems. This exercise comprises six questions designed to help students understand the distinctions between natural numbers, whole numbers, integers, and rational numbers. Below is a summary of the questions and their solutions: Question 1: Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0? Solution: Yes, zero is a rational number. It can be expressed in the form p/q as 0/1, 0/2, 0/3, etc., where p = 0 and q is any non-zero integer. Therefore, 0 satisfies the condition of being a rational number. Question 2: Find six rational numbers between 3 and 4. Solution: To find six rational numbers between 3 and 4, multiply and divide both numbers by 7 (since 6 + 1 = 7): 3 = 21/7 4 = 28/7 The six rational numbers between 3 and 4 are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 Question 3: Find five rational numbers between 3/5 and 4/5. Solution: To find five rational numbers between 3/5 and 4/5, multiply and divide both numbers by 6 (since 5 + 1 = 6): 3/5 = 18/30 4/5 = 24/30 The five rational numbers between 3/5 and 4/5 are: 19/30, 20/30, 21/30, 22/30, 23/30 Question 4: State whether the following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. Solution: True. Natural numbers start from 1 and go to infinity (1, 2, 3, ...), while whole numbers start from 0 and go to infinity (0, 1, 2, 3, ...). Therefore, every natural number is a whole number. (ii) Every integer is a whole number. Solution: False. Integers include negative numbers, zero, and positive numbers (..., -3, -2, -1, 0, 1, 2, 3, ...), while whole numbers are only non-negative (0, 1, 2, 3, ...). Therefore, not every integer is a whole number. (iii) Every rational number is a whole number. Solution: False. Rational numbers are numbers that can be expressed in the form p/q, where p and q are integers and q ≠ 0. This includes fractions and decimals that are not whole numbers. Therefore, not every rational number is a whole number. These solutions provide a foundational understanding of number classifications and their properties, essential for mastering more advanced mathematical concepts.