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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 730 · 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.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  2. 2.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −10/18
  3. 3.Is 7/3 positive or negative? (a) Negative (b) Positive
  4. 4.What is 1/6 − (−2/7)? (a) 3/13 (b) −5/42 (c) 19/42 (d) −19/42
  5. 5.What is (−1/2) − 1/3? (a) −2/5 (b) 5/6 (c) −1/6 (d) −5/6
  6. 6.Is 1/2 positive or negative? (a) Negative (b) Positive
  7. 7.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −1/2 (d) −2/1
  8. 8.What is 1/5 + (−4/5)? (a) −3/10 (b) −3/5 (c) 3/5 (d) 1
  9. 9.What is (−4/9) + 1/5? (a) 11/45 (b) −3/14 (c) −29/45 (d) −11/45
  10. 10.What is (−3/4) + 4/5? (a) 1/20 (b) −31/20 (c) 1/9 (d) −1/20
  11. 11.What is the additive inverse of 3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  12. 12.Write −20/32 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) 5/8 (d) −20/32
  13. 13.What is (−7/9) − 2/3? (a) −13/9 (b) −1/9 (c) 13/9 (d) −3/4
  14. 14.What is (−3/8) + (−3/7)? (a) 45/56 (b) −45/56 (c) −2/5 (d) 3/56
  15. 15.What is (−2/7) − (−2/7)? (a) −4/7 (b) 0
  16. 16.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−6/7) + (−8/9)? (a) 2/63 (b) −7/8 (c) −110/63 (d) 110/63
  18. 18.What is (−8/9) + (−3/8)? (a) −11/17 (b) 91/72 (c) −91/72 (d) −37/72
  19. 19.What is (−2/5) + 3/8? (a) −31/40 (b) 1/13 (c) 1/40 (d) −1/40
  20. 20.What is the additive inverse of −5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  21. 21.Which is bigger: −5/6 or −2/3? (a) −5/6 (b) −2/3
  22. 22.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  23. 23.What is (−3/5) + (−1/4)? (a) −4/9 (b) −7/20 (c) 17/20 (d) −17/20
  24. 24.What is (−2/7) − (−2/3)? (a) −20/21 (b) 0 (c) 8/21 (d) −8/21
  25. 25.Which is smaller: −1/5 or −1/2? (a) −1/5 (b) −1/2
  26. 26.Is −1/9 positive or negative? (a) Negative (b) Positive
  27. 27.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −2/9 or 1/5? (a) −2/9 (b) 1/5
  29. 29.Is −7/6 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/7 or 1/6? (a) 1/6 (b) −1/7
  31. 31.What is 1/4 − (−1/3)? (a) 2/7 (b) 7/12 (c) −7/12 (d) −1/12
  32. 32.Is −1/7 positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −3/7 or −3/5? (a) −3/5 (b) −3/7
  34. 34.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −2/16
  35. 35.What is (−8/9) + 2/9? (a) −2/3 (b) 2/3 (c) −10/9 (d) −1/3
  36. 36.Which is bigger: −4/9 or 1/2? (a) −4/9 (b) 1/2
  37. 37.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −12/20 (c) −5/3 (d) −3/5
  38. 38.Write −12/21 in standard form (lowest terms, positive denominator). (a) −12/21 (b) −4/7 (c) −7/4 (d) 4/7
  39. 39.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  40. 40.Which is bigger: −7/9 or −6/7? (a) −7/9 (b) −6/7

Answer key

  1. Negative
  2. −5/9
  3. Positive
  4. 19/42
  5. −5/6
  6. Positive
  7. −1/2
  8. −3/5
  9. −11/45
  10. 1/20
  11. −3/5
  12. −5/8
  13. −13/9
  14. −45/56
  15. 0
  16. Negative
  17. −110/63
  18. −91/72
  19. −1/40
  20. 5/7
  21. −2/3
  22. −7/2
  23. −17/20
  24. 8/21
  25. −1/2
  26. Negative
  27. Negative
  28. −2/9
  29. Negative
  30. −1/7
  31. 7/12
  32. Negative
  33. −3/5
  34. −1/8
  35. −2/3
  36. 1/2
  37. −3/5
  38. −4/7
  39. −4
  40. −7/9

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