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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 69 · 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 smaller: −7/8 or 2/9? (a) −7/8 (b) 2/9
  2. 2.What is (−2/5) + 7/8? (a) −51/40 (b) 5/13 (c) −19/40 (d) 19/40
  3. 3.Which is smaller: −2/9 or −1/6? (a) −1/6 (b) −2/9
  4. 4.What is 1/3 − (−5/9)? (a) −8/9 (b) −2/9 (c) 1/2 (d) 8/9
  5. 5.What is 1/9 − (−2/9)? (a) 1/3 (b) −1/3 (c) 1/6 (d) −1/9
  6. 6.What is (−1/3) − (−1/2)? (a) 1/6 (b) −1/6 (c) −5/6 (d) 0
  7. 7.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  8. 8.What is (−1/4) + (−1/7)? (a) −2/11 (b) −3/28 (c) −11/28 (d) 11/28
  9. 9.Is −5/7 positive or negative? (a) Positive (b) Negative
  10. 10.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) 1/8 (c) −8/1 (d) −1/8
  11. 11.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  12. 12.What is 4/7 + (−5/7)? (a) 9/7 (b) −1/7 (c) −1/14 (d) 1/7
  13. 13.What is (−1/3) − (−1/8)? (a) −5/24 (b) −11/24 (c) 5/24 (d) 0
  14. 14.What is (−1/9) + (−1/4)? (a) −2/13 (b) 5/36 (c) −13/36 (d) 13/36
  15. 15.Is −1/2 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −3/8 or 6/7? (a) 6/7 (b) −3/8
  17. 17.What is the additive inverse of −8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  18. 18.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) −1/8 (c) −8/1 (d) 1/8
  19. 19.What is (−4/5) + 4/9? (a) 16/45 (b) −16/45 (c) 0 (d) −56/45
  20. 20.What is the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  21. 21.Is −1/3 positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of −1/7? (a) −7 (b) 7 (c) −1/7 (d) 1/7
  23. 23.What is (−6/7) − (−1/2)? (a) 5/14 (b) −5/9 (c) −5/14 (d) −19/14
  24. 24.Is −3/7 positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −4/7 or −1/4? (a) −1/4 (b) −4/7
  26. 26.Which is bigger: −2/5 or −1/4? (a) −1/4 (b) −2/5
  27. 27.What is (−1/5) − 1/6? (a) −11/30 (b) 11/30 (c) −2/11 (d) −1/30
  28. 28.Which is bigger: −2/9 or 6/7? (a) −2/9 (b) 6/7
  29. 29.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  30. 30.What is the additive inverse of 5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  31. 31.What is (−5/6) − (−3/7)? (a) −53/42 (b) 17/42 (c) −17/42 (d) −2/13
  32. 32.What is (−3/5) + 5/7? (a) −46/35 (b) −4/35 (c) 1/6 (d) 4/35
  33. 33.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −8/12
  34. 34.Which is bigger: −2/5 or −3/8? (a) −3/8 (b) −2/5
  35. 35.What is (−3/8) − (−1/2)? (a) −1/5 (b) 1/8 (c) −1/8 (d) −7/8
  36. 36.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/36 (c) −6/1 (d) 1/6
  37. 37.Which is smaller: −7/9 or −6/7? (a) −7/9 (b) −6/7
  38. 38.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  40. 40.What is 5/8 + (−8/9)? (a) −3/17 (b) −19/72 (c) 109/72 (d) 19/72

Answer key

  1. −7/8
  2. 19/40
  3. −2/9
  4. 8/9
  5. 1/3
  6. 1/6
  7. −2
  8. −11/28
  9. Negative
  10. −1/8
  11. 6/5
  12. −1/7
  13. −5/24
  14. −13/36
  15. Negative
  16. 6/7
  17. 8/9
  18. −1/8
  19. −16/45
  20. 2/5
  21. Negative
  22. 1/7
  23. −5/14
  24. Negative
  25. −4/7
  26. −1/4
  27. −11/30
  28. 6/7
  29. −8
  30. −5/9
  31. −17/42
  32. 4/35
  33. −2/3
  34. −3/8
  35. 1/8
  36. −1/6
  37. −6/7
  38. Negative
  39. 1/9
  40. −19/72

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