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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 249 · 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 −3/(−9) positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −1/7 or −3/7? (a) −1/7 (b) −3/7
  3. 3.Which is bigger: −4/9 or 3/5? (a) 3/5 (b) −4/9
  4. 4.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  5. 5.Is −8/9 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−2/5) + (−2/5)? (a) 0 (b) −2/5 (c) 4/5 (d) −4/5
  7. 7.Which is bigger: −3/4 or −3/8? (a) −3/8 (b) −3/4
  8. 8.What is (−1/6) + 1/5? (a) −11/30 (b) −1/30 (c) 0 (d) 1/30
  9. 9.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  10. 10.What is (−6/7) + 1/3? (a) −25/21 (b) −1/2 (c) −11/21 (d) 11/21
  11. 11.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  12. 12.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  13. 13.What is (−1/8) − 5/9? (a) −49/72 (b) 31/72 (c) 49/72 (d) −6/17
  14. 14.Which is bigger: −1/2 or −8/9? (a) −8/9 (b) −1/2
  15. 15.Write −6/14 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −6/14 (d) 3/7
  16. 16.What is (−5/7) + (−4/9)? (a) 73/63 (b) −17/63 (c) −73/63 (d) −9/16
  17. 17.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  18. 18.What is (−7/9) − (−5/6)? (a) −1/18 (b) −2/15 (c) 1/18 (d) −29/18
  19. 19.Is −6/2 positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −1/4 or −7/8? (a) −7/8 (b) −1/4
  21. 21.What is 1/3 + (−5/8)? (a) 7/24 (b) 23/24 (c) −4/11 (d) −7/24
  22. 22.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  23. 23.What is (−4/5) − (−3/8)? (a) −1/13 (b) −47/40 (c) −17/40 (d) 17/40
  24. 24.What is 1/3 + (−1/4)? (a) 1/12 (b) −1/12 (c) 0 (d) 7/12
  25. 25.What is (−7/9) − (−3/8)? (a) 29/72 (b) −83/72 (c) −4/17 (d) −29/72
  26. 26.What is (−1/5) − (−5/8)? (a) −33/40 (b) −17/40 (c) 17/40 (d) 4/13
  27. 27.What is (−5/9) + (−3/8)? (a) 67/72 (b) −13/72 (c) −8/17 (d) −67/72
  28. 28.What is (−1/5) − 4/7? (a) −27/35 (b) −5/12 (c) 13/35 (d) 27/35
  29. 29.What is (−6/7) + 2/5? (a) −1/3 (b) −44/35 (c) −16/35 (d) 16/35
  30. 30.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−4/9) − (−1/2)? (a) −3/11 (b) 1/18 (c) −17/18 (d) −1/18
  32. 32.Which is smaller: −4/7 or −3/5? (a) −3/5 (b) −4/7
  33. 33.What is (−3/5) − 8/9? (a) 13/45 (b) −67/45 (c) 67/45 (d) −11/14
  34. 34.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  35. 35.Which is smaller: −7/8 or 1/7? (a) −7/8 (b) 1/7
  36. 36.Is 4/8 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −3/4 or −3/5? (a) −3/4 (b) −3/5
  38. 38.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  39. 39.Which is bigger: −3/5 or −1/3? (a) −1/3 (b) −3/5
  40. 40.Is 7/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. −3/7
  3. 3/5
  4. 5/2
  5. Negative
  6. −4/5
  7. −3/8
  8. 1/30
  9. −5/2
  10. −11/21
  11. −3
  12. 3
  13. −49/72
  14. −1/2
  15. −3/7
  16. −73/63
  17. −5/4
  18. 1/18
  19. Negative
  20. −7/8
  21. −7/24
  22. −5
  23. −17/40
  24. 1/12
  25. −29/72
  26. 17/40
  27. −67/72
  28. −27/35
  29. −16/35
  30. Negative
  31. 1/18
  32. −3/5
  33. −67/45
  34. 9/5
  35. −7/8
  36. Positive
  37. −3/4
  38. −2/5
  39. −1/3
  40. Positive

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