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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 61 · 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: −2/3 or −1/4? (a) −2/3 (b) −1/4
  2. 2.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  3. 3.Which is smaller: −1/8 or 5/7? (a) −1/8 (b) 5/7
  4. 4.What is the additive inverse of 1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  5. 5.What is (−5/6) + 8/9? (a) 1/5 (b) −31/18 (c) −1/18 (d) 1/18
  6. 6.Which is smaller: −5/6 or −4/5? (a) −5/6 (b) −4/5
  7. 7.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  8. 8.Is −4/(−6) positive or negative? (a) Positive (b) Negative
  9. 9.What is (−5/7) + (−2/9)? (a) −59/63 (b) −7/16 (c) −31/63 (d) 59/63
  10. 10.What is (−1/7) − 1/6? (a) 1/42 (b) 13/42 (c) −2/13 (d) −13/42
  11. 11.Write −10/15 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −10/15
  12. 12.What is (−1/7) + 3/8? (a) −13/56 (b) 2/15 (c) 13/56 (d) −29/56
  13. 13.What is the additive inverse of 3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  14. 14.Write −3/18 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −3/18 (d) −6/1
  15. 15.Which is bigger: −7/9 or 1/4? (a) −7/9 (b) 1/4
  16. 16.What is (−3/7) + (−7/8)? (a) −73/56 (b) −2/3 (c) 25/56 (d) 73/56
  17. 17.Which is bigger: −5/8 or −4/9? (a) −4/9 (b) −5/8
  18. 18.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  19. 19.What is (−7/9) + (−2/3)? (a) −3/4 (b) −1/9 (c) 13/9 (d) −13/9
  20. 20.What is (−4/7) + 4/5? (a) −48/35 (b) −8/35 (c) 0 (d) 8/35
  21. 21.What is (−8/9) − 2/3? (a) −2/9 (b) 14/9 (c) −14/9 (d) −5/6
  22. 22.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −6/36
  23. 23.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  24. 24.What is (−7/8) − (−1/5)? (a) −43/40 (b) −27/40 (c) −6/13 (d) 27/40
  25. 25.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−2/7) − 3/8? (a) 37/56 (b) 5/56 (c) −37/56 (d) −1/3
  27. 27.What is (−4/5) − 1/4? (a) −21/20 (b) −11/20 (c) −5/9 (d) 21/20
  28. 28.What is (−1/6) + 7/9? (a) −17/18 (b) −11/18 (c) 11/18 (d) 2/5
  29. 29.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−5/8) − (−1/6)? (a) −11/24 (b) 11/24 (c) −19/24 (d) −2/7
  31. 31.What is (−8/9) + 8/9? (a) 0 (b) −16/9
  32. 32.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  33. 33.Which is bigger: −1/4 or 2/3? (a) −1/4 (b) 2/3
  34. 34.Which is bigger: −2/7 or −4/7? (a) −4/7 (b) −2/7
  35. 35.What is the additive inverse of 2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  36. 36.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  37. 37.What is 1/3 + (−1/2)? (a) 1/6 (b) 0 (c) 5/6 (d) −1/6
  38. 38.What is (−2/5) − (−7/8)? (a) 19/40 (b) −19/40 (c) −51/40 (d) 5/13
  39. 39.Which is bigger: −1/7 or −3/8? (a) −3/8 (b) −1/7
  40. 40.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5

Answer key

  1. −1/4
  2. −4/9
  3. −1/8
  4. −1/3
  5. 1/18
  6. −5/6
  7. 5
  8. Positive
  9. −59/63
  10. −13/42
  11. −2/3
  12. 13/56
  13. −3/7
  14. −1/6
  15. 1/4
  16. −73/56
  17. −4/9
  18. −8/7
  19. −13/9
  20. 8/35
  21. −14/9
  22. −1/6
  23. −6/7
  24. −27/40
  25. Negative
  26. −37/56
  27. −21/20
  28. 11/18
  29. Negative
  30. −11/24
  31. 0
  32. −6
  33. 2/3
  34. −2/7
  35. −2/3
  36. Negative
  37. −1/6
  38. 19/40
  39. −1/7
  40. 5/8

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