Q.1. Write.
(i) The rational number that does not have a reciprocal. (ii) The rational numbers that are equal to their reciprocals. (iii) The rational number that is equal to its negative. Answer: (i) 0 (ii) 1 and (–1) (iii) 0 Q. 2. Fill in the blanks. (i) Zero has ________ reciprocal. (ii) The numbers ________ and ________ are their own reciprocals (iii) The reciprocal of – 5 is ________. (iv) Reciprocal of 1/x , where x ≠ 0 is ________. (v) The product of two rational numbers is always a _______. (vi) The reciprocal of a positive rational number is ________. Answer: 11. (i) No (ii) 1, –1 (iii) 1/5 (iv) x (v) Rational number (vi) positive Q.3. Write any 3 rational numbers between –2 and 0. Q.4. Find any ten rational numbers between 5/6 and 5/8 Q.5. Represent these numbers on the number line. (i) 7/4 (ii) 5/6(iii) 36/7(iv) 21/3 Q.6. Multiple Choice Questions 1. A rational number p/q is said to be in the simplest form if the HCF of p and q is (a) 2 (b) 1 (c) 0 (d) 3 [A] 2. Between any two distinct rational numbers there exist (a) Finite rational numbers (b) Infinite rational numbers (c) No rational number (d) none of the above [B] 3. A rational number a/b is greater than c/d if (a) ad > bc (b) ad < bc (c) ad = bc (d) ad ≠ bc [A] 4. Is zero a rational number (a) Yes (b) No (c) Can’t say [A] 5. Rational numbers are not closed under (a) Addition (b) Multiplication (c) Division (d) Subtraction [C] 7. What number should be added to −78to get 49? 8. The sum of two rational numbers is −12. If one of the numbers is 56, find the other. 9. What number should be subtracted from −23 to get −12? 10. Divide the sum of 135and−127by the product of −317and1−2. 11. The product of two rational numbers is −169. If one of the numbers is −43, find the other. 12. A drum full of rice weights 4016kg. If the empty drum weights 1334kg, find the weight of rice in the drum. 13. A car is moving at an average speed of 4025km/h. How much distance will it cover in 712h? 14. Raju earns Rs16000/m. He spends 14of his income on food; 310of the remainder on house rent and 521of the remainder on education of children. How much money is still left with him? 15. After reading 79of a book, 40pages are left. How many pages are there in the book? 16. If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number? 17. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4 respectively, they add up to 74. Find these numbers. Further Study Visit links given below: Class VIII Mathematics VIII Algebra VIII Commercial Maths VIII Geometry & Mensuration CBSE Class VIII Science Physics Chemistry Biology 8th Sample paper 8th S. Science
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