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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 169 · 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 −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  2. 2.What is 1/6 + (−7/9)? (a) −11/18 (b) −2/5 (c) 17/18 (d) 11/18
  3. 3.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −2/6 (c) 1/3 (d) −1/3
  4. 4.Is −7/8 positive or negative? (a) Negative (b) Positive
  5. 5.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −42/48 (d) −8/7
  6. 6.What is (−1/5) + (−7/9)? (a) −44/45 (b) −4/7 (c) 26/45 (d) 44/45
  7. 7.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) 1/4 (c) −4/1 (d) −1/4
  8. 8.Is 9/2 positive or negative? (a) Positive (b) Negative
  9. 9.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−8/9) + 5/8? (a) 19/72 (b) −3/17 (c) −109/72 (d) −19/72
  11. 11.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −32/36 (c) −9/8 (d) −8/9
  12. 12.Is −8/(−7) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/7) + (−4/9)? (a) −64/63 (b) −1/2 (c) 64/63 (d) −8/63
  14. 14.Which is smaller: −2/5 or −8/9? (a) −8/9 (b) −2/5
  15. 15.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −2/12 (c) −6/1 (d) −1/6
  16. 16.Write −12/30 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −12/30 (d) −5/2
  17. 17.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  18. 18.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −25/40 (d) −8/5
  19. 19.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  20. 20.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  21. 21.Which is smaller: −4/9 or 4/5? (a) 4/5 (b) −4/9
  22. 22.What is (−5/8) + 2/9? (a) −29/72 (b) −61/72 (c) 29/72 (d) −3/17
  23. 23.What is (−5/6) − 2/5? (a) −37/30 (b) −7/11 (c) −13/30 (d) 37/30
  24. 24.What is (−7/9) − 3/5? (a) −8/45 (b) −62/45 (c) −5/7 (d) 62/45
  25. 25.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) −1/7 (c) −7/1 (d) 1/7
  26. 26.Is −5/8 positive or negative? (a) Positive (b) Negative
  27. 27.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.Is −9/4 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−8/9) − (−1/8)? (a) −73/72 (b) 55/72 (c) −7/17 (d) −55/72
  30. 30.Is 4/2 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/8) − (−3/5)? (a) −9/40 (b) −39/40 (c) 0 (d) 9/40
  32. 32.What is (−4/9) + 7/8? (a) −95/72 (b) 3/17 (c) −31/72 (d) 31/72
  33. 33.What is (−3/4) + 3/4? (a) −3/2 (b) 0
  34. 34.What is (−4/9) − 1/3? (a) −1/9 (b) −5/12 (c) −7/9 (d) 7/9
  35. 35.Is 4/5 positive or negative? (a) Positive (b) Negative
  36. 36.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  37. 37.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  38. 38.Which is smaller: −1/2 or 1/5? (a) 1/5 (b) −1/2
  39. 39.Which is smaller: −5/7 or −5/8? (a) −5/7 (b) −5/8
  40. 40.Write −12/54 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −12/54

Answer key

  1. −7
  2. −11/18
  3. −1/3
  4. Negative
  5. −7/8
  6. −44/45
  7. −1/4
  8. Positive
  9. Negative
  10. −19/72
  11. −8/9
  12. Positive
  13. −64/63
  14. −8/9
  15. −1/6
  16. −2/5
  17. Positive
  18. −5/8
  19. 8/7
  20. −1/5
  21. −4/9
  22. −29/72
  23. −37/30
  24. −62/45
  25. −1/7
  26. Negative
  27. Positive
  28. Negative
  29. −55/72
  30. Positive
  31. 9/40
  32. 31/72
  33. 0
  34. −7/9
  35. Positive
  36. Negative
  37. −7/3
  38. −1/2
  39. −5/7
  40. −2/9

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