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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 739 · 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: −5/7 or 3/4? (a) 3/4 (b) −5/7
  2. 2.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  4. 4.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −5/2 (d) −2/5
  5. 5.What is (−2/3) − 3/7? (a) −23/21 (b) −1/2 (c) −5/21 (d) 23/21
  6. 6.Which is bigger: −7/8 or 1/8? (a) −7/8 (b) 1/8
  7. 7.What is 3/5 − (−5/9)? (a) −52/45 (b) 2/45 (c) 52/45 (d) 4/7
  8. 8.What is 3/8 + (−7/8)? (a) −1/4 (b) 1/2 (c) −1/2 (d) 5/4
  9. 9.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  10. 10.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  11. 11.Which is bigger: −1/4 or 4/9? (a) −1/4 (b) 4/9
  12. 12.Which is smaller: −1/9 or 2/9? (a) −1/9 (b) 2/9
  13. 13.What is (−5/6) − 2/5? (a) 37/30 (b) −13/30 (c) −37/30 (d) −7/11
  14. 14.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) −7/9 (d) 7/9
  15. 15.Write −24/54 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −24/54 (c) 4/9 (d) −9/4
  16. 16.Which is smaller: −1/9 or −4/5? (a) −1/9 (b) −4/5
  17. 17.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  18. 18.What is (−3/4) + 8/9? (a) −5/36 (b) 5/13 (c) 5/36 (d) −59/36
  19. 19.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) −7/5 (d) 5/7
  20. 20.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.What is 3/7 + (−2/7)? (a) 1/14 (b) 1/7 (c) 5/7 (d) −1/7
  22. 22.What is (−2/7) − (−5/8)? (a) −51/56 (b) −19/56 (c) 1/5 (d) 19/56
  23. 23.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−7/8) + 2/3? (a) −37/24 (b) 5/24 (c) −5/11 (d) −5/24
  25. 25.What is 1/7 − (−7/9)? (a) −58/63 (b) 58/63 (c) −40/63 (d) 1/2
  26. 26.What is (−5/8) + 1/6? (a) 11/24 (b) −2/7 (c) −11/24 (d) −19/24
  27. 27.Is −8/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  29. 29.What is (−1/3) + 3/4? (a) −5/12 (b) 2/7 (c) 5/12 (d) −13/12
  30. 30.What is 2/5 + (−3/8)? (a) −1/13 (b) 31/40 (c) 1/40 (d) −1/40
  31. 31.Which is smaller: −2/3 or 1/2? (a) 1/2 (b) −2/3
  32. 32.What is (−1/7) − 2/7? (a) −3/14 (b) 3/7 (c) −3/7 (d) 1/7
  33. 33.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  34. 34.Which is smaller: −1/4 or 7/8? (a) 7/8 (b) −1/4
  35. 35.Is −9/3 positive or negative? (a) Positive (b) Negative
  36. 36.What is 3/8 − (−7/8)? (a) −5/4 (b) −1/2 (c) 5/8 (d) 5/4
  37. 37.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  38. 38.What is 3/7 − (−5/9)? (a) 1/2 (b) −62/63 (c) −8/63 (d) 62/63
  39. 39.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  40. 40.Is 6/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. −5/7
  2. Negative
  3. −2/5
  4. −2/5
  5. −23/21
  6. 1/8
  7. 52/45
  8. −1/2
  9. −2/3
  10. 7/4
  11. 4/9
  12. −1/9
  13. −37/30
  14. −7/9
  15. −4/9
  16. −4/5
  17. 6
  18. 5/36
  19. −5/7
  20. Negative
  21. 1/7
  22. 19/56
  23. Positive
  24. −5/24
  25. 58/63
  26. −11/24
  27. Positive
  28. −3/5
  29. 5/12
  30. 1/40
  31. −2/3
  32. −3/7
  33. −7/6
  34. −1/4
  35. Negative
  36. 5/4
  37. 7/5
  38. 62/63
  39. −2/7
  40. Negative

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