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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 488 · 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.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  2. 2.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  3. 3.What is (−1/9) − (−3/8)? (a) 2/17 (b) 19/72 (c) −19/72 (d) −35/72
  4. 4.What is 6/7 − (−1/6)? (a) 43/42 (b) 7/13 (c) 29/42 (d) −43/42
  5. 5.Which is bigger: −4/9 or −4/7? (a) −4/9 (b) −4/7
  6. 6.Which is smaller: −6/7 or −3/8? (a) −3/8 (b) −6/7
  7. 7.Which is bigger: −2/3 or 4/7? (a) −2/3 (b) 4/7
  8. 8.What is the additive inverse of −5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  9. 9.What is the additive inverse of 1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  10. 10.What is (−1/6) + 1/2? (a) −2/3 (b) −1/3 (c) 1/3 (d) 0
  11. 11.What is 7/9 − (−1/5)? (a) 4/7 (b) −44/45 (c) 26/45 (d) 44/45
  12. 12.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  13. 13.Is 5/6 positive or negative? (a) Positive (b) Negative
  14. 14.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  15. 15.What is (−3/4) + (−3/8)? (a) 9/8 (b) −1/2 (c) −3/8 (d) −9/8
  16. 16.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.What is 2/9 − (−6/7)? (a) −68/63 (b) 1/2 (c) 68/63 (d) −40/63
  18. 18.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −4/32 (d) 1/8
  19. 19.What is 1/6 + (−1/7)? (a) −1/42 (b) 1/42 (c) 13/42 (d) 0
  20. 20.Which is bigger: −4/9 or −1/3? (a) −1/3 (b) −4/9
  21. 21.Is 9/6 positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  23. 23.What is 1/7 − (−3/5)? (a) −26/35 (b) 26/35 (c) −16/35 (d) 1/3
  24. 24.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  25. 25.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  26. 26.Write −5/30 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −5/30 (c) −1/6 (d) −6/1
  27. 27.What is (−1/3) + (−1/5)? (a) −1/4 (b) 8/15 (c) −8/15 (d) −2/15
  28. 28.What is the additive inverse of −1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  29. 29.What is (−5/6) − 3/5? (a) −7/30 (b) −8/11 (c) 43/30 (d) −43/30
  30. 30.What is (−1/5) + 5/8? (a) −33/40 (b) −17/40 (c) 4/13 (d) 17/40
  31. 31.Which is smaller: −1/3 or −2/5? (a) −1/3 (b) −2/5
  32. 32.What is 3/4 + (−1/7)? (a) 17/28 (b) 25/28 (c) −17/28 (d) 2/11
  33. 33.Which is smaller: −5/6 or −1/8? (a) −1/8 (b) −5/6
  34. 34.Which is smaller: −6/7 or 4/7? (a) 4/7 (b) −6/7
  35. 35.What is (−2/5) − 1/2? (a) 1/10 (b) −3/7 (c) −9/10 (d) 9/10
  36. 36.What is 7/9 + (−7/8)? (a) 7/72 (b) 119/72 (c) −7/72 (d) 0
  37. 37.Which is bigger: −7/9 or −3/8? (a) −7/9 (b) −3/8
  38. 38.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −2/16
  39. 39.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  40. 40.Which is smaller: −1/5 or 5/8? (a) 5/8 (b) −1/5

Answer key

  1. 3
  2. −7/6
  3. 19/72
  4. 43/42
  5. −4/9
  6. −6/7
  7. 4/7
  8. 5/9
  9. −1/9
  10. 1/3
  11. 44/45
  12. Positive
  13. Positive
  14. −3/7
  15. −9/8
  16. Positive
  17. 68/63
  18. −1/8
  19. 1/42
  20. −1/3
  21. Positive
  22. −1/4
  23. 26/35
  24. 1/6
  25. −8/9
  26. −1/6
  27. −8/15
  28. 1/3
  29. −43/30
  30. 17/40
  31. −2/5
  32. 17/28
  33. −5/6
  34. −6/7
  35. −9/10
  36. −7/72
  37. −3/8
  38. −1/8
  39. −9/2
  40. −1/5

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