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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 847 · 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.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−3/4) − (−1/2)? (a) 1/4 (b) −1/3 (c) −1/4 (d) −5/4
  3. 3.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −6/8 (d) −3/4
  4. 4.What is the additive inverse of −1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  5. 5.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  6. 6.What is (−7/9) − (−3/4)? (a) 1/36 (b) −1/36 (c) −55/36 (d) −4/13
  7. 7.What is (−2/9) + 1/9? (a) −1/3 (b) −1/18 (c) −1/9 (d) 1/9
  8. 8.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −2/1 (c) 1/2 (d) −1/2
  9. 9.Which is bigger: −1/7 or 1/2? (a) 1/2 (b) −1/7
  10. 10.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −20/24 (d) −5/6
  11. 11.Which is smaller: −3/5 or −1/9? (a) −1/9 (b) −3/5
  12. 12.Which is smaller: −1/8 or −2/7? (a) −1/8 (b) −2/7
  13. 13.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  14. 14.What is (−3/4) + 7/8? (a) 1/8 (b) 1/3 (c) −1/8 (d) −13/8
  15. 15.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  16. 16.What is (−2/9) + 5/6? (a) −19/18 (b) −11/18 (c) 1/5 (d) 11/18
  17. 17.What is (−2/3) − 1/6? (a) −1/2 (b) −1/3 (c) −5/6 (d) 5/6
  18. 18.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  19. 19.What is (−6/7) − 2/9? (a) 68/63 (b) −68/63 (c) −1/2 (d) −40/63
  20. 20.What is (−1/2) + 5/9? (a) −19/18 (b) 1/18 (c) 4/11 (d) −1/18
  21. 21.Which is smaller: −1/4 or −4/5? (a) −4/5 (b) −1/4
  22. 22.What is 6/7 + (−1/4)? (a) 17/28 (b) −17/28 (c) 5/11 (d) 31/28
  23. 23.What is (−6/7) + 2/7? (a) −2/7 (b) −8/7 (c) −4/7 (d) 4/7
  24. 24.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  25. 25.What is (−5/6) − 8/9? (a) 1/18 (b) −13/15 (c) −31/18 (d) 31/18
  26. 26.What is (−3/4) + (−5/9)? (a) 47/36 (b) −47/36 (c) −7/36 (d) −8/13
  27. 27.What is (−1/8) + (−2/3)? (a) 19/24 (b) 13/24 (c) −3/11 (d) −19/24
  28. 28.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  29. 29.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  30. 30.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  31. 31.Which is smaller: −2/5 or −1/8? (a) −2/5 (b) −1/8
  32. 32.Which is smaller: −1/3 or 5/7? (a) −1/3 (b) 5/7
  33. 33.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  34. 34.Which is bigger: −1/8 or 3/7? (a) −1/8 (b) 3/7
  35. 35.What is (−1/5) + (−6/7)? (a) −37/35 (b) −7/12 (c) 37/35 (d) 23/35
  36. 36.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  37. 37.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  38. 38.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  39. 39.Which is bigger: −3/4 or 1/6? (a) 1/6 (b) −3/4
  40. 40.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4

Answer key

  1. Positive
  2. −1/4
  3. −3/4
  4. 1/3
  5. 3/4
  6. −1/36
  7. −1/9
  8. −1/2
  9. 1/2
  10. −5/6
  11. −3/5
  12. −2/7
  13. −7/4
  14. 1/8
  15. 1/2
  16. 11/18
  17. −5/6
  18. 5/4
  19. −68/63
  20. 1/18
  21. −4/5
  22. 17/28
  23. −4/7
  24. −7/6
  25. −31/18
  26. −47/36
  27. −19/24
  28. −3/5
  29. 1/6
  30. 4/7
  31. −2/5
  32. −1/3
  33. −2/3
  34. 3/7
  35. −37/35
  36. Negative
  37. −6/5
  38. 4
  39. 1/6
  40. −4

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