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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 302 · 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 −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  2. 2.Which is bigger: −1/4 or 2/7? (a) −1/4 (b) 2/7
  3. 3.What is (−1/6) − (−1/7)? (a) −13/42 (b) 1/42 (c) −1/42 (d) 0
  4. 4.What is (−5/8) − 1/5? (a) −6/13 (b) −33/40 (c) 33/40 (d) −17/40
  5. 5.What is (−2/5) − (−1/5)? (a) −3/5 (b) 1/5 (c) −1/5 (d) −1/10
  6. 6.Which is bigger: −3/5 or 6/7? (a) −3/5 (b) 6/7
  7. 7.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  8. 8.What is (−1/4) + (−5/6)? (a) 13/12 (b) 7/12 (c) −3/5 (d) −13/12
  9. 9.What is 1/3 + (−4/9)? (a) −1/9 (b) 1/9 (c) −1/4 (d) 7/9
  10. 10.What is the additive inverse of −1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  11. 11.What is 8/9 + (−4/9)? (a) 4/9 (b) 2/9 (c) −4/9 (d) 4/3
  12. 12.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  13. 13.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  14. 14.What is (−4/7) + 1/7? (a) −3/14 (b) −5/7 (c) −3/7 (d) 3/7
  15. 15.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −4/5 or −3/8? (a) −3/8 (b) −4/5
  17. 17.What is (−5/8) − 3/8? (a) 1 (b) −1/4 (c) −1/2 (d) −1
  18. 18.Is −5/(−3) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of 1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  20. 20.Is −3/5 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of −3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  22. 22.Is −2/2 positive or negative? (a) Positive (b) Negative
  23. 23.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−2/7) − (−8/9)? (a) 38/63 (b) −38/63 (c) 3/8 (d) −74/63
  25. 25.What is (−1/7) + (−2/7)? (a) −3/14 (b) 1/7 (c) 3/7 (d) −3/7
  26. 26.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.What is 5/6 + (−6/7)? (a) −1/13 (b) 1/42 (c) 71/42 (d) −1/42
  28. 28.Is 2/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/9) + 3/8? (a) 2/17 (b) −35/72 (c) 19/72 (d) −19/72
  30. 30.Which is bigger: −4/5 or −3/8? (a) −3/8 (b) −4/5
  31. 31.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  32. 32.What is (−1/8) + 5/8? (a) −1/2 (b) −3/4 (c) 1/4 (d) 1/2
  33. 33.What is 2/3 + (−1/4)? (a) 11/12 (b) −5/12 (c) 5/12 (d) 1/7
  34. 34.What is 5/7 + (−1/3)? (a) 2/5 (b) 22/21 (c) −8/21 (d) 8/21
  35. 35.Which is smaller: −3/8 or 1/5? (a) −3/8 (b) 1/5
  36. 36.What is 1/9 + (−5/7)? (a) −1/4 (b) 52/63 (c) 38/63 (d) −38/63
  37. 37.Write −30/35 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −30/35 (c) 6/7 (d) −7/6
  38. 38.What is 3/5 − (−5/9)? (a) 4/7 (b) −52/45 (c) 52/45 (d) 2/45
  39. 39.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −9/21 (d) −7/3
  40. 40.What is (−1/9) − 4/7? (a) −5/16 (b) −43/63 (c) 29/63 (d) 43/63

Answer key

  1. −5/4
  2. 2/7
  3. −1/42
  4. −33/40
  5. −1/5
  6. 6/7
  7. −7
  8. −13/12
  9. −1/9
  10. 1/2
  11. 4/9
  12. −5/2
  13. −5/8
  14. −3/7
  15. Positive
  16. −4/5
  17. −1
  18. Positive
  19. −1/4
  20. Negative
  21. 3/5
  22. Negative
  23. Negative
  24. 38/63
  25. −3/7
  26. Negative
  27. −1/42
  28. Positive
  29. 19/72
  30. −3/8
  31. 5/6
  32. 1/2
  33. 5/12
  34. 8/21
  35. −3/8
  36. −38/63
  37. −6/7
  38. 52/45
  39. −3/7
  40. −43/63

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