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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 618 · 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 1/7 positive or negative? (a) Negative (b) Positive
  2. 2.Is −2/9 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  4. 4.What is (−3/5) − 1/3? (a) 14/15 (b) −4/15 (c) −14/15 (d) −1/2
  5. 5.What is (−3/4) − 1/4? (a) 1 (b) −1/2 (c) −1
  6. 6.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  7. 7.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  8. 8.Which is smaller: −1/5 or 3/5? (a) −1/5 (b) 3/5
  9. 9.What is (−5/6) − (−4/9)? (a) −7/18 (b) −1/15 (c) −23/18 (d) 7/18
  10. 10.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  11. 11.Write −4/20 in standard form (lowest terms, positive denominator). (a) −4/20 (b) 1/5 (c) −1/5 (d) −5/1
  12. 12.What is 4/9 + (−3/8)? (a) −5/72 (b) 1/17 (c) 5/72 (d) 59/72
  13. 13.What is (−2/3) − (−5/8)? (a) −1/24 (b) 3/11 (c) 1/24 (d) −31/24
  14. 14.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  15. 15.What is 7/8 − (−4/7)? (a) 81/56 (b) 11/15 (c) −81/56 (d) 17/56
  16. 16.What is (−3/8) − 3/8? (a) −3/4 (b) 0 (c) −3/8 (d) 3/4
  17. 17.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −1/4 (c) 1/4 (d) −4/1
  18. 18.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  19. 19.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  20. 20.What is (−3/7) + (−3/5)? (a) 36/35 (b) 6/35 (c) −1/2 (d) −36/35
  21. 21.Which is bigger: −3/4 or −1/2? (a) −1/2 (b) −3/4
  22. 22.What is (−3/7) − (−1/8)? (a) −2/15 (b) 17/56 (c) −31/56 (d) −17/56
  23. 23.What is (−1/8) + 8/9? (a) −73/72 (b) 7/17 (c) −55/72 (d) 55/72
  24. 24.What is 3/5 + (−1/7)? (a) −16/35 (b) 1/6 (c) 26/35 (d) 16/35
  25. 25.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −16/20 (c) −4/5 (d) −5/4
  26. 26.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  27. 27.Is −8/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  29. 29.What is 1/4 + (−5/9)? (a) 29/36 (b) 11/36 (c) −4/13 (d) −11/36
  30. 30.What is 3/7 − (−3/7)? (a) 0 (b) 6/7 (c) −6/7 (d) 3/7
  31. 31.Which is smaller: −1/9 or −3/5? (a) −1/9 (b) −3/5
  32. 32.What is 3/7 + (−3/5)? (a) 6/35 (b) −6/35 (c) 36/35 (d) 0
  33. 33.What is 2/7 − (−4/5)? (a) −18/35 (b) −38/35 (c) 1/2 (d) 38/35
  34. 34.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −18/21 (c) −7/6 (d) 6/7
  36. 36.What is (−4/7) + (−3/7)? (a) −1 (b) 1 (c) −1/7 (d) −1/2
  37. 37.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  38. 38.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  39. 39.What is 1/3 + (−4/7)? (a) −3/10 (b) 19/21 (c) −5/21 (d) 5/21
  40. 40.What is 7/9 − (−4/5)? (a) 71/45 (b) −71/45 (c) 11/14 (d) −1/45

Answer key

  1. Positive
  2. Negative
  3. −2/5
  4. −14/15
  5. −1
  6. −3/2
  7. −1/5
  8. −1/5
  9. −7/18
  10. 3/5
  11. −1/5
  12. 5/72
  13. −1/24
  14. Negative
  15. 81/56
  16. −3/4
  17. −1/4
  18. 3
  19. 5
  20. −36/35
  21. −1/2
  22. −17/56
  23. 55/72
  24. 16/35
  25. −4/5
  26. −3/5
  27. Negative
  28. 8/7
  29. −11/36
  30. 6/7
  31. −3/5
  32. −6/35
  33. 38/35
  34. Positive
  35. −6/7
  36. −1
  37. −1/3
  38. Negative
  39. −5/21
  40. 71/45

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