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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 376 · 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 9/(−7) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−7/8) − 1/5? (a) −43/40 (b) −8/13 (c) −27/40 (d) 43/40
  3. 3.What is 3/4 − (−1/2)? (a) −5/4 (b) 2/3 (c) 1/4 (d) 5/4
  4. 4.Is 2/9 positive or negative? (a) Positive (b) Negative
  5. 5.What is 1/2 − (−1/9)? (a) 7/18 (b) 11/18 (c) −11/18 (d) 2/11
  6. 6.Which is smaller: −3/4 or −2/9? (a) −2/9 (b) −3/4
  7. 7.What is (−4/9) − 5/6? (a) −3/5 (b) −23/18 (c) 7/18 (d) 23/18
  8. 8.What is (−5/9) − 3/5? (a) −52/45 (b) 52/45 (c) −4/7 (d) 2/45
  9. 9.Write −20/28 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −20/28
  10. 10.What is (−1/6) + 8/9? (a) 7/15 (b) 13/18 (c) −13/18 (d) −19/18
  11. 11.Is −5/7 positive or negative? (a) Negative (b) Positive
  12. 12.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −18/42
  13. 13.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −5/9 (d) −9/5
  14. 14.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  16. 16.Which is bigger: −3/7 or −6/7? (a) −6/7 (b) −3/7
  17. 17.What is (−4/9) − (−2/3)? (a) −10/9 (b) −1/6 (c) 2/9 (d) −2/9
  18. 18.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  19. 19.Which is smaller: −5/6 or 3/4? (a) 3/4 (b) −5/6
  20. 20.Write −6/8 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −6/8 (c) −4/3 (d) −3/4
  21. 21.What is (−1/9) + (−3/5)? (a) 32/45 (b) 22/45 (c) −2/7 (d) −32/45
  22. 22.What is 2/3 + (−1/3)? (a) 1/6 (b) 1 (c) 1/3 (d) −1/3
  23. 23.Write −4/20 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −4/20
  24. 24.Is −4/3 positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −1/8 or 4/5? (a) 4/5 (b) −1/8
  26. 26.Is −9/4 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −1/5 or 3/5? (a) −1/5 (b) 3/5
  28. 28.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −6/7 or 4/5? (a) −6/7 (b) 4/5
  30. 30.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  31. 31.What is (−3/5) + 7/9? (a) −8/45 (b) −62/45 (c) 2/7 (d) 8/45
  32. 32.What is (−1/6) + 5/7? (a) 4/13 (b) −37/42 (c) 23/42 (d) −23/42
  33. 33.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  34. 34.What is (−1/3) − (−3/5)? (a) 1/4 (b) −14/15 (c) 4/15 (d) −4/15
  35. 35.Which is bigger: −5/8 or −3/5? (a) −3/5 (b) −5/8
  36. 36.What is 1/3 − (−2/3)? (a) −1 (b) −1/3 (c) 1 (d) 1/2
  37. 37.What is 6/7 − (−3/5)? (a) 3/4 (b) 9/35 (c) 51/35 (d) −51/35
  38. 38.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  39. 39.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  40. 40.What is 4/9 − (−1/2)? (a) 5/11 (b) −17/18 (c) 17/18 (d) −1/18

Answer key

  1. Negative
  2. −43/40
  3. 5/4
  4. Positive
  5. 11/18
  6. −3/4
  7. −23/18
  8. −52/45
  9. −5/7
  10. 13/18
  11. Negative
  12. −3/7
  13. −5/9
  14. Positive
  15. −4/3
  16. −3/7
  17. 2/9
  18. −5/2
  19. −5/6
  20. −3/4
  21. −32/45
  22. 1/3
  23. −1/5
  24. Negative
  25. −1/8
  26. Negative
  27. 3/5
  28. Positive
  29. −6/7
  30. 2/3
  31. 8/45
  32. 23/42
  33. −9/2
  34. 4/15
  35. −3/5
  36. 1
  37. 51/35
  38. 9
  39. −1/4
  40. 17/18

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