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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 133 · 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) 1/7 (c) −7 (d) 7
  2. 2.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) 3/7 (d) −12/28
  3. 3.What is (−3/5) − (−5/9)? (a) 1/7 (b) 2/45 (c) −52/45 (d) −2/45
  4. 4.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) 1/5 (d) −5/1
  5. 5.Is −8/5 positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −3/5 or −5/8? (a) −3/5 (b) −5/8
  7. 7.What is (−4/5) − (−5/6)? (a) 1/30 (b) 1/11 (c) −1/30 (d) −49/30
  8. 8.What is (−2/5) + 3/8? (a) 1/13 (b) −31/40 (c) −1/40 (d) 1/40
  9. 9.Which is smaller: −2/3 or −4/9? (a) −2/3 (b) −4/9
  10. 10.What is (−1/4) + (−1/3)? (a) −2/7 (b) 1/12 (c) −7/12 (d) 7/12
  11. 11.What is (−8/9) − 1/8? (a) −73/72 (b) −9/17 (c) 73/72 (d) −55/72
  12. 12.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  13. 13.What is (−4/5) + (−2/7)? (a) −38/35 (b) −18/35 (c) −1/2 (d) 38/35
  14. 14.Which is bigger: −3/8 or 2/9? (a) 2/9 (b) −3/8
  15. 15.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −2/4
  16. 16.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9
  17. 17.What is 2/5 − (−1/7)? (a) 9/35 (b) −19/35 (c) 19/35 (d) 1/4
  18. 18.Which is smaller: −3/8 or −1/6? (a) −3/8 (b) −1/6
  19. 19.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −6/54 (c) −9/1 (d) −1/9
  20. 20.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−4/9) + (−5/9)? (a) 1/9 (b) 1 (c) −1/2 (d) −1
  22. 22.What is (−4/9) − (−3/4)? (a) −1/13 (b) 11/36 (c) −11/36 (d) −43/36
  23. 23.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −15/35 (d) 3/7
  24. 24.Which is smaller: −3/4 or 3/7? (a) 3/7 (b) −3/4
  25. 25.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −8/18
  26. 26.Which is bigger: −1/2 or −2/3? (a) −2/3 (b) −1/2
  27. 27.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −10/16
  28. 28.What is 1/9 − (−2/5)? (a) 3/14 (b) −13/45 (c) −23/45 (d) 23/45
  29. 29.Is −2/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.What is 3/4 − (−1/4)? (a) −1 (b) 1/2 (c) 1
  31. 31.What is 1/8 + (−5/7)? (a) 33/56 (b) 47/56 (c) −4/15 (d) −33/56
  32. 32.Which is smaller: −1/4 or −1/2? (a) −1/2 (b) −1/4
  33. 33.Is 8/9 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−1/8) + 7/9? (a) −65/72 (b) 47/72 (c) −47/72 (d) 6/17
  35. 35.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  36. 36.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7
  37. 37.What is the additive inverse of −7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  38. 38.Which is bigger: −4/7 or 3/8? (a) −4/7 (b) 3/8
  39. 39.Which is bigger: −1/7 or 1/4? (a) 1/4 (b) −1/7
  40. 40.What is (−2/3) − (−1/5)? (a) −7/15 (b) 7/15 (c) −1/8 (d) −13/15

Answer key

  1. −7
  2. −3/7
  3. −2/45
  4. −1/5
  5. Negative
  6. −3/5
  7. 1/30
  8. −1/40
  9. −2/3
  10. −7/12
  11. −73/72
  12. −7/6
  13. −38/35
  14. 2/9
  15. −1/2
  16. −2/9
  17. 19/35
  18. −3/8
  19. −1/9
  20. Negative
  21. −1
  22. 11/36
  23. −3/7
  24. −3/4
  25. −4/9
  26. −1/2
  27. −5/8
  28. 23/45
  29. Positive
  30. 1
  31. −33/56
  32. −1/2
  33. Positive
  34. 47/72
  35. −1/5
  36. 7/3
  37. 7/8
  38. 3/8
  39. 1/4
  40. −7/15

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