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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 504 · 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 (−5/9) + (−2/9)? (a) 7/9 (b) −1/3 (c) −7/9 (d) −7/18
  2. 2.Which is bigger: −1/8 or −3/5? (a) −1/8 (b) −3/5
  3. 3.Which is bigger: −3/5 or 3/4? (a) −3/5 (b) 3/4
  4. 4.What is 7/9 + (−8/9)? (a) 1/9 (b) −1/18 (c) −1/9 (d) 5/3
  5. 5.Which is smaller: −1/3 or −6/7? (a) −6/7 (b) −1/3
  6. 6.Is 4/9 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−2/5) + (−1/9)? (a) −3/14 (b) 23/45 (c) −23/45 (d) −13/45
  8. 8.What is (−8/9) + 1/3? (a) −11/9 (b) −5/9 (c) 5/9 (d) −7/12
  9. 9.Is −8/7 positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −8/9 or −4/9? (a) −4/9 (b) −8/9
  11. 11.What is (−5/7) + (−3/5)? (a) 46/35 (b) −4/35 (c) −46/35 (d) −2/3
  12. 12.What is 4/7 − (−2/7)? (a) 3/7 (b) 2/7 (c) 6/7 (d) −6/7
  13. 13.Which is smaller: −3/7 or 3/4? (a) 3/4 (b) −3/7
  14. 14.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −25/35 (b) −5/7 (c) −7/5 (d) 5/7
  15. 15.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −8/36 (c) −2/9 (d) −9/2
  16. 16.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −2/6
  17. 17.What is (−4/9) − 1/3? (a) 7/9 (b) −5/12 (c) −7/9 (d) −1/9
  18. 18.What is (−2/3) + 7/8? (a) 5/11 (b) −5/24 (c) 5/24 (d) −37/24
  19. 19.What is (−5/8) − 7/8? (a) −3/4 (b) −3/2 (c) 3/2 (d) 1/4
  20. 20.Is −7/8 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  22. 22.Which is bigger: −3/7 or −1/4? (a) −3/7 (b) −1/4
  23. 23.What is (−2/5) − 7/8? (a) 51/40 (b) 19/40 (c) −51/40 (d) −9/13
  24. 24.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  25. 25.Is −4/7 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/6) − (−5/9)? (a) −7/18 (b) 4/15 (c) 7/18 (d) −13/18
  27. 27.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  29. 29.What is (−1/5) + 1/2? (a) 3/10 (b) −7/10 (c) 0 (d) −3/10
  30. 30.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  31. 31.Which is bigger: −1/4 or −3/5? (a) −1/4 (b) −3/5
  32. 32.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  33. 33.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −1/2 (d) −2/1
  34. 34.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −4/7 or −8/9? (a) −8/9 (b) −4/7
  36. 36.Which is smaller: −1/2 or −1/5? (a) −1/5 (b) −1/2
  37. 37.Which is bigger: −5/8 or −3/4? (a) −5/8 (b) −3/4
  38. 38.What is 5/9 − (−3/8)? (a) 13/72 (b) −67/72 (c) 8/17 (d) 67/72
  39. 39.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −5/4 (d) −4/5
  40. 40.What is (−2/3) + 5/9? (a) −11/9 (b) −1/9 (c) 1/4 (d) 1/9

Answer key

  1. −7/9
  2. −1/8
  3. 3/4
  4. −1/9
  5. −6/7
  6. Positive
  7. −23/45
  8. −5/9
  9. Negative
  10. −8/9
  11. −46/35
  12. 6/7
  13. −3/7
  14. −5/7
  15. −2/9
  16. −1/3
  17. −7/9
  18. 5/24
  19. −3/2
  20. Negative
  21. −4
  22. −1/4
  23. −51/40
  24. −1/5
  25. Negative
  26. 7/18
  27. Positive
  28. 4/9
  29. 3/10
  30. 5/9
  31. −1/4
  32. 3/2
  33. −1/2
  34. Negative
  35. −4/7
  36. −1/2
  37. −5/8
  38. 67/72
  39. −4/5
  40. −1/9

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