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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 63 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is bigger: −2/9 or −1/2? (a) −2/9 (b) −1/2
  2. 2.Which is bigger: −7/8 or −3/8? (a) −3/8 (b) −7/8
  3. 3.What is the additive inverse of −1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  4. 4.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −6/42 (c) 1/7 (d) −1/7
  5. 5.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/9) + 5/6? (a) 0 (b) −5/18 (c) 5/18 (d) −25/18
  7. 7.Write −12/21 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −12/21 (c) −7/4 (d) 4/7
  8. 8.What is (−5/6) − 1/2? (a) −3/4 (b) −4/3 (c) 4/3 (d) −1/3
  9. 9.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) 1/3 (d) −1/3
  10. 10.Which is bigger: −7/8 or −4/9? (a) −7/8 (b) −4/9
  11. 11.What is (−7/8) + 1/5? (a) −6/13 (b) 27/40 (c) −27/40 (d) −43/40
  12. 12.What is (−4/7) − (−5/7)? (a) 1/7 (b) 1/14 (c) −9/7 (d) −1/7
  13. 13.What is (−1/3) + (−1/7)? (a) −1/5 (b) −4/21 (c) −10/21 (d) 10/21
  14. 14.Which is bigger: −5/9 or −7/9? (a) −5/9 (b) −7/9
  15. 15.Which is smaller: −5/9 or 5/7? (a) −5/9 (b) 5/7
  16. 16.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  17. 17.What is 2/9 + (−3/4)? (a) 19/36 (b) 35/36 (c) −19/36 (d) −1/13
  18. 18.Which is bigger: −5/9 or −4/5? (a) −4/5 (b) −5/9
  19. 19.Which is smaller: −1/3 or −1/9? (a) −1/3 (b) −1/9
  20. 20.Write −4/36 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −4/36
  21. 21.What is the additive inverse of 1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  22. 22.Which is smaller: −2/5 or −1/3? (a) −1/3 (b) −2/5
  23. 23.Which is bigger: −4/7 or −2/9? (a) −4/7 (b) −2/9
  24. 24.Which is smaller: −7/9 or 2/9? (a) 2/9 (b) −7/9
  25. 25.What is 5/9 + (−3/5)? (a) 52/45 (b) −2/45 (c) 2/45 (d) 1/7
  26. 26.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  27. 27.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  28. 28.Is −1/9 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/8) + 5/8? (a) −3/4 (b) −1/2 (c) 1/2 (d) 1/4
  30. 30.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −2/12
  31. 31.What is 5/8 + (−4/7)? (a) −3/56 (b) 1/15 (c) 67/56 (d) 3/56
  32. 32.What is (−3/5) − 4/7? (a) −41/35 (b) −1/35 (c) 41/35 (d) −7/12
  33. 33.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) −5/3 (d) 3/5
  34. 34.What is (−1/6) − 3/5? (a) 13/30 (b) 23/30 (c) −4/11 (d) −23/30
  35. 35.What is (−1/3) − 1/9? (a) −2/9 (b) −4/9 (c) −1/6 (d) 4/9
  36. 36.Which is smaller: −1/5 or −6/7? (a) −1/5 (b) −6/7
  37. 37.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  38. 38.Which is smaller: −3/4 or 4/5? (a) 4/5 (b) −3/4
  39. 39.What is (−2/5) − (−1/8)? (a) −1/13 (b) −21/40 (c) 11/40 (d) −11/40
  40. 40.What is (−5/9) + 5/7? (a) 0 (b) −80/63 (c) −10/63 (d) 10/63

Answer key

  1. −2/9
  2. −3/8
  3. 1/5
  4. −1/7
  5. Negative
  6. 5/18
  7. −4/7
  8. −4/3
  9. −1/3
  10. −4/9
  11. −27/40
  12. 1/7
  13. −10/21
  14. −5/9
  15. −5/9
  16. −1/4
  17. −19/36
  18. −5/9
  19. −1/3
  20. −1/9
  21. −1/8
  22. −2/5
  23. −2/9
  24. −7/9
  25. −2/45
  26. Positive
  27. −2
  28. Negative
  29. 1/2
  30. −1/6
  31. 3/56
  32. −41/35
  33. −3/5
  34. −23/30
  35. −4/9
  36. −6/7
  37. 2/7
  38. −3/4
  39. −11/40
  40. 10/63

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