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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 640 · 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 −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  2. 2.What is (−2/7) + 2/7? (a) 0 (b) −4/7
  3. 3.Which is smaller: −3/5 or 5/9? (a) 5/9 (b) −3/5
  4. 4.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  5. 5.What is (−5/9) − 1/7? (a) 44/63 (b) −26/63 (c) −3/8 (d) −44/63
  6. 6.Which is smaller: −4/9 or −2/7? (a) −2/7 (b) −4/9
  7. 7.Is −7/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  9. 9.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of −2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  11. 11.What is (−5/9) − 2/5? (a) 43/45 (b) −7/45 (c) −43/45 (d) −1/2
  12. 12.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  13. 13.What is (−8/9) + 3/4? (a) −59/36 (b) −5/13 (c) −5/36 (d) 5/36
  14. 14.Which is bigger: −6/7 or −2/3? (a) −2/3 (b) −6/7
  15. 15.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  16. 16.What is 2/3 + (−5/8)? (a) −3/11 (b) 1/24 (c) 31/24 (d) −1/24
  17. 17.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  18. 18.What is 4/5 − (−2/3)? (a) −22/15 (b) 3/4 (c) 22/15 (d) 2/15
  19. 19.What is (−2/3) + 2/5? (a) −4/15 (b) 4/15 (c) −16/15 (d) 0
  20. 20.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−3/8) + 1/9? (a) −2/17 (b) −19/72 (c) −35/72 (d) 19/72
  22. 22.What is 2/5 − (−3/5)? (a) 1/2 (b) 1 (c) −1 (d) −1/5
  23. 23.What is (−1/2) − 5/9? (a) 19/18 (b) −6/11 (c) −19/18 (d) 1/18
  24. 24.Is −8/5 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−2/3) − (−1/3)? (a) 1/3 (b) −1/6 (c) −1 (d) −1/3
  26. 26.Is −9/5 positive or negative? (a) Positive (b) Negative
  27. 27.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −10/14 (d) 5/7
  28. 28.What is (−5/6) + (−1/2)? (a) 4/3 (b) −3/4 (c) −4/3 (d) −1/3
  29. 29.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  30. 30.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  31. 31.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  32. 32.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  33. 33.What is (−1/2) − 7/9? (a) −8/11 (b) −23/18 (c) 5/18 (d) 23/18
  34. 34.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  35. 35.What is 1/9 + (−1/9)? (a) 2/9 (b) 0
  36. 36.Which is smaller: −1/2 or 1/5? (a) −1/2 (b) 1/5
  37. 37.What is (−4/5) − (−1/2)? (a) 3/10 (b) −3/10 (c) −13/10 (d) −3/7
  38. 38.Which is smaller: −8/9 or 3/8? (a) −8/9 (b) 3/8
  39. 39.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  40. 40.What is (−1/4) − 1/9? (a) −5/36 (b) 13/36 (c) −2/13 (d) −13/36

Answer key

  1. −3/2
  2. 0
  3. −3/5
  4. Positive
  5. −44/63
  6. −4/9
  7. Negative
  8. 5/8
  9. Negative
  10. 2/3
  11. −43/45
  12. −4/3
  13. −5/36
  14. −2/3
  15. 4/5
  16. 1/24
  17. Positive
  18. 22/15
  19. −4/15
  20. Negative
  21. −19/72
  22. 1
  23. −19/18
  24. Negative
  25. −1/3
  26. Negative
  27. −5/7
  28. −4/3
  29. −4/5
  30. −7/5
  31. 5/3
  32. 1/4
  33. −23/18
  34. 7/5
  35. 0
  36. −1/2
  37. −3/10
  38. −8/9
  39. Positive
  40. −13/36

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