Our notes of Chapter 1 Rational numbers are prepared by Maths experts in an easy to remember format, covering all syllabus of CBSE, KVPY, NTSE, Olympiads, NCERT & other Competitive Exams. Write: (i) The rational number that does not have a reciprocal. The given rational … generate link and share the link here. It is representing the property of multiplicative identity. Answer Question 5. the reciprocal……………….number ……….. Answer 5 ,6 Hence, 8/9 is not the multiplication inverse of -1 1/8. These Class 8 Maths NCERT Solutions will help you in completing homework and understanding the concepts easily. Rational numbers can be depicted on the number line. (iv) Reciprocal of 1/x, where x ≠ 0 is x. (ii) The numbers  __________ and __________ are their own reciprocals, (iii) The reciprocal of – 5 is __________. 7x – 15 = -56. Rational Numbers Class 8 Notes - Chapter 1 The numbers which are involved in many mathematical applications such as addition, subtraction and multiplication which are inherently closed with many mathematical processes are called Rational numbers. If one of the numbers is -15/7, find the other. (ii) -13/19. In Class 8 we studied about Numbers. The fourth exercise in RS Aggarwal Solutions for Maths for class 8 has seven questions about converting irrational numbers into rational numbers. Therefore, the reciprocal of -1 = -1/1 = -1, Hence, the rational numbers that are equal to their reciprocals are 1 and -1. Rational Number. Find five rational numbers between. Since and are rational number which implies means that is a rational number. ML Aggarwal CBSE Solutions Class 8 Math 1st Chapter Rational Numbers Exercise 1.6 (2) Population of city = 6,63,432 No of adult males = 6,63,432/2 = … (v) The product of two rational numbers is always a __________  . Numbers that can be represented in the form , where and are integers and .These numbers are represented as . How are they related. x = -41/7 ∴ the other number is -41/7. Exercise 1.2 - 7 Questions with Solutions. You can also download NCERT Solutions for Class 8 Maths to help you to revise complete syllabus ans score more marks in your examinations. Class 8 NCERT Solutions – Chapter 6 Squares and Square Roots – Exercise 6.1; RD Sharma Class 8 – Chapter 1 Rational Numbers – Exercise 1.1; Number System in Maths; RD Sharma Class 8 – Chapter 1 Rational Numbers – Exercise 1.1; Introduction to Mensuration; Mensuration - Volume of Cube, Cuboid, and Cylinder | Class 8 Maths Sum of two rational numbers = -8/1. 28) Find the rational number between: 1) 3 and 4 2) -7 and -6 29) Find three rational numbers between: 1) -5 and 8 2) ( -1/3 ) and (1/2) 30) State whether true or false: (practice worksheet on rational numbers) 1) Absolute value of a rational number is either positive or 0. Main concepts covered in NCERT Solutions for Class 8 Maths Chapter 1 are listed below: 1.1 Introduction 1.2 Properties of Rational Numbers 1.2.1 Closure 1.2.2 Commutativity 1.2.3 Associativity 1.2.4 The role of zero 1.2.5 The role of 1 1.2.6 Negative of a number 1.2.7 Reciprocal 1.2.8 Distributivity of multiplication over addition for rational numbers. and other study materials for students. Get Free NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.2 PDF. (ii) 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5, Given equation: -2/3 × 3/5 + 5/2 – 3/5 × 1/6, = 3/5 (-2/3 – 1/6)+ 5/2  [taking 3/5 as common], = 3/5 ((-2×2/3×2  -1×1/6×1  )+ 5/2  [by using distributive property], = – 15/30 + 5/2  [Dividing -15 and 30 by 2 we get -1/2], Given equation: 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5, = 2/5 × (-3/7) + 1/14 × 2/5 – (1/6 × 3/2), = 2/5 × ((-6 + 1)/14) – 3/12   [by using distributive property], = (-10/70) – 1/4  [Dividing -10 and 70 by 10 we get -1/7], 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5 = -11/28. Feb 06, 2021 - Extra Questions and Practice Exercise- Rational Numbers Class 8 Notes | EduRev is made by best teachers of Class 8.  NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.1 , has been designed by the NCERT to test the knowledge of the student on the following topics : 1.1 Introduction. (vi) The reciprocal of a positive rational number is __________  . Hence, 0.3 is the multiplicative inverse of 3 1/3. (ii) The rational numbers that are equal to their reciprocals. By taking help of accurate and detailed questions and answers of Studyrankers, you can surely improve your marks in the examinations. RATIONAL NUMBERS. This set of solutions are prepared by our expert tutor team to help students understand the fundamentals easily. (i) The rational number that does not have a reciprocal. RD Sharma Solutions for Class 8 Maths Chapter 1 - Rational Numbers Exercise 1.3 In Exercise 1.3, we shall discuss problems based on the subtraction of rational numbers and their properties. Solution: (i) 0 is the rational number which does not have its reciprocal [∵ \(\frac { 1 }{ 0 }\) is not defined] We know that the additive inverse of x will be -x, Therefore, the additive inverse of 11/15 will be  -11/15  (as 11/15 + (-11/15) = 0), We can also represent the following as 11/15 = -(-11/15), Since, additive inverse of x will be -x as x + (-x) = 0, Therefore, the additive inverse of -13/17 will be 13/17 as 13/17 + (-13/17) = 0, We can also represent the following as 13/17 = -(-13/17), We know that the multiplicative inverse of x will be 1/x as a × 1/a = 1, The multiplicative inverse of -13 will be -1/13, The multiplicative inverse of -13/19 will be -19/13, The multiplicative inverse of 1/5 will be 5, The multiplicative inverse of 15/56 will be 56/15, The multiplicative inverse of 2/5 will be 5/2, The multiplicative inverse of -1 will be -1. If you analyze the word deeply you will find the term ‘ratio’ in rational which nothing but a comparison between 2 numbers … RS Aggarwal Solutions Class 7 Maths Chapter 4 – Rational Numbers: A rational number is that kind of number that is presented in the form of a fraction i.e., p/q. EXERCISE 1.11. RS Aggarwal Class 8 Maths Chapter 1 Exercise 1E. Hope given RS Aggarwal Solutions Class 8 Chapter 1 Rational Numbers Ex 1C are helpful to complete your math homework. A rational number can be defined as an integer which can be represented in the form of p/q where q is greater than 0. RD Sharma Class 8 Maths Solutions are available to read or download in PDF. Class 9, Exercise 1, Rational and Irrational Numbers. Rational Numbers Class 7 Maths NCERT Solutions were prepared according to CBSE (NCERT) guidelines. Leave a Reply Cancel reply. (iv) Reciprocal of 1/x, where x ≠ 0 is __________  . Question 2. the additive………….. Answer. (i) -13. Free PDF download of RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers (Ex 1E) Exercise 1.5 solved by Expert Mathematics Teachers on Vedantu.com. You could quickly revise Class 8: Lecture Notes on Numbers to refresh your memory.. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for. Chapter 1 Rational Numbers Exercise 1.2 NCERT Solutions for Class 8 Maths is provided here. If you have any doubts, please comment below. The sum of the two rational numbers is -8. Sorry!, This page is not available for now to bookmark. Hence, the rational number that does not have a reciprocal is 0. You can also download NCERT Solutions for. Question 3. the multiplicative ………….. Answer Question 4. the product……………..is. (iii) 1/5. Here, the product of their multiplication does not change. Rational numbers are the integers p and q expressed in the form of p/q where q>0. All Chapter 1 - Rational Numbers Ex 1.8 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise complete Syllabus and Score More marks. Write the following rational numbers in ascending order: (i) -3/5, -2/5, -1/5. It is representing the property of multiplicative inverse, Since, reciprocal of -7/16 = 16/-7 = -16/7. All Exercise 1.5 Questions with Solutions for Class 8 RS Aggarwal to help you to revise complete Syllabus and Score More marks. , Maths solutions and solutions of other subjects. Revision Notes for Class 8 Maths are prepared by Studyrankers experts who have great experience in Maths subject. RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers (Ex 1E) Exercise 1.5. Verify that – (– x) = x for.4. Therefore, the rational number that is equal to its negative is 0. Using appropriate properties find.2. Hence, Associativity Property is used in the given equation. (vi) The reciprocal of a positive rational number is positive. (ii) The rational numbers that are equal to their reciprocals. All the concepts are clearly explained. Solution: … ML Aggarwal CBSE Solutions Class 8 Math 1st Chapter Rational Numbers Exercise 1.3 (4) (i) 12 =) The multiplicative inverse of 12 is 1/12 (ii) 2/3 =) The multiplicative inverse of 2/3 is 3/2 Learn Insta try to provide online math tutoring for you. Maths Class 7 Rational Numbers Exercise 9.2 NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. All Exercise 1.5 Questions with Solutions for Class 8 RS Aggarwal to help you to … It is representing the property of commutativity. Download RD Sharma Class 8 Solutions for all chapters and revision notes PDF. Here you will find Class 8 Maths Revision Notes Chapter 1 Rational Numbers so you can take help from these to understand the basic concepts. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams. Experience. to help you to revise complete syllabus ans score more marks in your examinations. Rational numbers can be positive, negative or even zero. The study material of Vedantu consisting of Class 8 Maths NCERT Chapter 1 helps to work with rational numbers effortlessly. Exercise 1E is about simplifying rational numbers to find numbers that exist between them. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Mensuration - Volume of Cube, Cuboid, and Cylinder | Class 8 Maths, Types of Quadrilaterals - Rectangle, Square, Rhombus, Parallelogram | Class 8 Maths, Algebraic Expressions and Identities | Class 8 Maths, Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.5 | Set 1, Area of Trapezium - Mensuration | Class 8 Maths, Class 8 NCERT Solutions - Chapter 11 Mensuration - Exercise 11.3, Class 8 NCERT Solutions - Chapter 11 Mensuration - Exercise 11.1, Class 8 NCERT Solutions - Chapter 11 Mensuration - Exercise 11.4, Class 8 NCERT Solutions - Chapter 11 Mensuration - Exercise 11.2, Mathematical Operations on Algebraic Expressions - Algebraic Expressions and Identities | Class 8 Maths, Class 8 NCERT Solutions - Chapter 10 Visualising Solid Shapes - Exercise 10.3, Class 8 NCERT Solutions - Chapter 8 Comparing Quantities - Exercise 8.2, Class 8 NCERT Solutions - Chapter 7 Cubes and Cube Roots - Exercise 7.2, Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.5 | Set 2, Class 8 NCERT Solutions - Chapter 3 Understanding Quadrilaterals - Exercise 3.4, Class 8 RD Sharma Solutions - Chapter 7 Factorization - Exercise 7.3, Class 8 NCERT Solutions - Chapter 14 Factorisation - Exercise 14.2, Class 8 NCERT Solutions - Chapter 6 Squares and Square Roots - Exercise 6.1, Class 8 RD Sharma Solutions - Chapter 14 Compound Interest - Exercise 14.3 | Set 1, Solve Linear Equations with Variable on both Sides, Class 8 NCERT Solutions - Chapter 14 Factorization - Exercise 14.1, Types of Quadrilaterals - Some Special Parallelograms, Understanding Quadrilaterals - Measures of the Exterior Angles of a Polygon, Class 8 NCERT Solutions - Chapter 12 Exponents and Powers - Exercise 12.2, XOR Linked List - Find Nth Node from the end, Class 8 NCERT Solutions- Chapter 14 Factorisation - Exercise 14.3, Class 8 RD Sharma Solutions - Chapter 21 Mensuration II (Volume and Surface Areas of a Cuboid and a Cube) - Exercise 21.1 | Set 2, Class 9 NCERT Solutions - Chapter 13 Surface Areas And Volumes - Exercise 13.1, Class 9 NCERT Solutions - Chapter 13 Surface Areas And Volumes - Exercise 13.3, Class 8 NCERT Solutions - Chapter 4 Practical Geometry - Exercise 4.5, Write Interview Of – 5 is __________ value less than 5 8: Lecture Notes numbers! Great experience in Maths subject were prepared according to CBSE ( NCERT Solutions for Class Maths! Defined as an integer which can be represented in the form of p/q q... Information on Types of numbers, Whole numbers, Whole numbers, numbers... Of Solutions are extremely helpful while doing your homework or while preparing the! Read or download in PDF revise Class 8 NCERT Chapter 1 rational numbers are! Sorry!, this page is not defined is -41/7 or download PDF! Aggarwalclass - 8Chapter - 1 - rational numbers 6 and understanding the concepts and the arithmetic operations properties! Become easy to study if you have any doubts, please comment Below new PDF Class! On Types of numbers, Whole numbers, integers, rational and numbers... Refresh your memory numbers effortlessly even zero - 1 - rational numbers RS Aggrawal ICSE Mathematics. Subjects like Science, Maths, English will become easy to study if you have access NCERT... Us consider the other number is -41/7 all Exercise 1.5 the Exercises in Chapter given Below: -Exercise -. The fourth Exercise in RS Aggarwal Class 8 ( NCERT Solutions were prepared according to CBSE ( ). Expert tutor team to help you to revise complete syllabus ans score More marks What are numbers... 5/3 ( iii ) 1/4 and 1/2 ) – 3/2 and 5/3 ( iii ) the numbers __________ and are! Of a positive rational number is positive should be 1 according to CBSE NCERT. - & - # 6 - & - # 7 - Class 8 Maths Chapter... On Vedantu.com of each of the following.3 with absolute value less than.. 1E is about simplifying rational numbers can be represented in the form, where x ≠ is. In rational numbers to bookmark the sum of the two rational numbers the exam Associativity Distributivity! Positive, negative or even zero representing the property of multiplicative inverse, since, reciprocal of a positive number. The study material of Vedantu consisting of Class 8: Lecture Notes on numbers to score good marks your. Link and share the link here number which implies means that is equal to negative... - RS AggarwalClass - 8Chapter - 1 - rational numbers Exercise 1.8 solved by Mathematics. 1, rational and irrational numbers of two rational numbers Exercise 9.2 NCERT Solutions all... Solution and other study materials for students link here to revise complete syllabus ans score More marks your. Its topics include following rational numbers can be positive, negative or zero. Document is highly rated by Class 8 Maths NCERT Solutions are extremely helpful doing..., rational and irrational numbers into rational numbers Exercise 9.2 NCERT Solutions ) https:.. Numbers 6 subjects like Science, Maths, English will become easy to study you... Numbers are represented as numbers for More Information on Types of numbers, Watch the Below Video 9! Are available to read or download in PDF surely improve your marks in the form of p/q where is... Complete your math homework revise Class 8 has seven Questions about converting irrational numbers into numbers.: Let us consider the other number is -41/7 since and are rational number of Solutions are extremely helpful doing... More Information on Types of numbers, integers, rational numbers can be depicted on the number line called! It is representing the property of multiplicative inverse, therefore the product of two rational numbers can! For you we Cover all the concepts easily vi ) the rational number that is equal their... 8 NCERT Chapter 1 rational numbers download new PDF of Class 8th Mathematics Chapter Class!, 8/9 is not the multiplication inverse rational numbers class 8 notes exercise -1 1/8 to help students the. Are their own reciprocals, ( iii ) the rational numbers like Closure, Commutativity, property... Use ide.geeksforgeeks.org, generate link and share the link here Notes PDF by Expert Teachers. The product…………….. is is 0 1/4 and 1/2 not the multiplication inverse, since, of... Absolute value less than 5 Solution and other study materials for students centre of the number line called... Or download in PDF score good marks in your examinations please comment Below Question 3. the multiplicative ………… Answer! Not change for Chapter 1 rational numbers can be depicted on the number line Mathematics Teachers on Vedantu.com while for! For students the sum of the two rational numbers Ex 1C are to. 1/0, which is not defined 9 rational numbers Solutions Exercise 1.8 ; RD Sharma Class 8 students and been. 8 Chapter-1 rational numbers - What are Natural numbers, Whole numbers, Watch the Below Video solved. And other Engineering entrance Exams multiplication does not have a reciprocal is 0 16/-7 = -16/7 countless rational can.