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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 579 · 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 5/9 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−5/8) + 2/7? (a) −1/5 (b) −51/56 (c) 19/56 (d) −19/56
  3. 3.What is the additive inverse of −3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  4. 4.What is 1/5 + (−1/8)? (a) −3/40 (b) 13/40 (c) 0 (d) 3/40
  5. 5.Which is smaller: −6/7 or −3/8? (a) −3/8 (b) −6/7
  6. 6.What is the additive inverse of −5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  7. 7.What is (−3/5) + 2/5? (a) 1/5 (b) −1/10 (c) −1 (d) −1/5
  8. 8.What is (−1/6) + (−2/3)? (a) 1/2 (b) −1/3 (c) 5/6 (d) −5/6
  9. 9.What is (−1/2) + (−3/7)? (a) −1/14 (b) −4/9 (c) 13/14 (d) −13/14
  10. 10.What is (−5/9) + 1/4? (a) 11/36 (b) −4/13 (c) −29/36 (d) −11/36
  11. 11.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  12. 12.What is 4/9 + (−2/7)? (a) 10/63 (b) 1/8 (c) 46/63 (d) −10/63
  13. 13.What is 1/4 − (−1/4)? (a) 1/2 (b) 0 (c) 1/4 (d) −1/2
  14. 14.Which is bigger: −1/3 or 3/4? (a) 3/4 (b) −1/3
  15. 15.What is 3/7 + (−2/9)? (a) −13/63 (b) 13/63 (c) 1/16 (d) 41/63
  16. 16.What is the additive inverse of −3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  17. 17.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −6/36 (d) 1/6
  18. 18.Is −1/4 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/5 or 5/7? (a) 5/7 (b) −1/5
  20. 20.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −4/12 (c) −3/1 (d) −1/3
  21. 21.What is 1/8 + (−4/7)? (a) 25/56 (b) −1/5 (c) 39/56 (d) −25/56
  22. 22.Which is bigger: −1/9 or 1/2? (a) 1/2 (b) −1/9
  23. 23.What is 3/5 − (−4/9)? (a) 1/2 (b) 47/45 (c) −47/45 (d) 7/45
  24. 24.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −3/24
  25. 25.What is (−3/5) − (−7/8)? (a) −59/40 (b) 11/40 (c) 4/13 (d) −11/40
  26. 26.Which is smaller: −1/6 or 5/6? (a) −1/6 (b) 5/6
  27. 27.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −18/30
  28. 28.What is (−2/3) − (−6/7)? (a) 2/5 (b) −4/21 (c) 4/21 (d) −32/21
  29. 29.Is −5/4 positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  31. 31.Which is bigger: −2/7 or −7/8? (a) −7/8 (b) −2/7
  32. 32.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  33. 33.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  34. 34.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  35. 35.What is (−1/8) − 1/3? (a) 11/24 (b) 5/24 (c) −2/11 (d) −11/24
  36. 36.Is 8/7 positive or negative? (a) Negative (b) Positive
  37. 37.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5
  38. 38.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  39. 39.Which is smaller: −1/5 or −4/7? (a) −4/7 (b) −1/5
  40. 40.Which is bigger: −1/9 or 1/8? (a) 1/8 (b) −1/9

Answer key

  1. Positive
  2. −19/56
  3. 3/7
  4. 3/40
  5. −6/7
  6. 5/8
  7. −1/5
  8. −5/6
  9. −13/14
  10. −11/36
  11. 1/6
  12. 10/63
  13. 1/2
  14. 3/4
  15. 13/63
  16. 3/5
  17. −1/6
  18. Negative
  19. 5/7
  20. −1/3
  21. −25/56
  22. 1/2
  23. 47/45
  24. −1/8
  25. 11/40
  26. −1/6
  27. −3/5
  28. 4/21
  29. Negative
  30. −1/3
  31. −2/7
  32. 2/3
  33. −7/2
  34. −4/5
  35. −11/24
  36. Positive
  37. −3/5
  38. 5
  39. −4/7
  40. 1/8

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