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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 230 · 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.Which is smaller: −4/9 or −3/8? (a) −4/9 (b) −3/8
  2. 2.Which is bigger: −2/3 or −2/7? (a) −2/3 (b) −2/7
  3. 3.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  4. 4.Write −12/27 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −12/27 (c) 4/9 (d) −9/4
  5. 5.What is (−2/9) − 2/7? (a) −1/4 (b) −32/63 (c) 4/63 (d) 32/63
  6. 6.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.What is (−2/3) + (−8/9)? (a) 14/9 (b) −5/6 (c) −14/9 (d) 2/9
  8. 8.What is 4/9 − (−1/9)? (a) −5/9 (b) 1/3 (c) 5/18 (d) 5/9
  9. 9.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −6/8
  11. 11.Is 3/3 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −1/4 or 1/3? (a) −1/4 (b) 1/3
  13. 13.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  14. 14.Which is bigger: −4/7 or 3/5? (a) −4/7 (b) 3/5
  15. 15.Which is smaller: −5/9 or −2/7? (a) −2/7 (b) −5/9
  16. 16.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  17. 17.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4
  19. 19.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of 1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  21. 21.What is (−6/7) + (−4/7)? (a) 10/7 (b) −5/7 (c) −2/7 (d) −10/7
  22. 22.What is (−7/9) − (−4/9)? (a) −1/6 (b) 1/3 (c) −11/9 (d) −1/3
  23. 23.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −9/7 (d) −7/9
  24. 24.What is 6/7 − (−4/9)? (a) 82/63 (b) 5/8 (c) −82/63 (d) 26/63
  25. 25.What is (−4/7) + (−7/8)? (a) −81/56 (b) −11/15 (c) 81/56 (d) 17/56
  26. 26.What is (−3/8) + (−5/9)? (a) −8/17 (b) −67/72 (c) 67/72 (d) 13/72
  27. 27.What is 5/9 + (−4/7)? (a) 1/63 (b) 1/16 (c) 71/63 (d) −1/63
  28. 28.What is 5/8 + (−4/7)? (a) 3/56 (b) −3/56 (c) 67/56 (d) 1/15
  29. 29.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−2/5) + 1/7? (a) 9/35 (b) −1/12 (c) −19/35 (d) −9/35
  31. 31.Which is smaller: −1/7 or −1/2? (a) −1/7 (b) −1/2
  32. 32.What is (−2/9) − 8/9? (a) 2/3 (b) −5/9 (c) 10/9 (d) −10/9
  33. 33.Which is bigger: −4/5 or −5/7? (a) −5/7 (b) −4/5
  34. 34.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −4/24
  35. 35.What is 4/9 − (−5/8)? (a) −77/72 (b) 9/17 (c) 77/72 (d) −13/72
  36. 36.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −4/14 (c) −7/2 (d) 2/7
  37. 37.What is 5/6 − (−4/9)? (a) −23/18 (b) 3/5 (c) 7/18 (d) 23/18
  38. 38.Which is bigger: −2/9 or 1/7? (a) 1/7 (b) −2/9
  39. 39.What is 3/7 − (−5/6)? (a) 53/42 (b) −17/42 (c) 8/13 (d) −53/42
  40. 40.Is 3/4 positive or negative? (a) Negative (b) Positive

Answer key

  1. −4/9
  2. −2/7
  3. −2/7
  4. −4/9
  5. −32/63
  6. Positive
  7. −14/9
  8. 5/9
  9. Positive
  10. −3/4
  11. Positive
  12. 1/3
  13. −5/3
  14. 3/5
  15. −5/9
  16. 3/7
  17. Positive
  18. −4/3
  19. Positive
  20. −1/7
  21. −10/7
  22. −1/3
  23. −7/9
  24. 82/63
  25. −81/56
  26. −67/72
  27. −1/63
  28. 3/56
  29. Negative
  30. −9/35
  31. −1/2
  32. −10/9
  33. −5/7
  34. −1/6
  35. 77/72
  36. −2/7
  37. 23/18
  38. 1/7
  39. 53/42
  40. Positive

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