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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 212 · 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 6/3 positive or negative? (a) Positive (b) Negative
  2. 2.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.What is 2/5 − (−2/3)? (a) −4/15 (b) 1/2 (c) 16/15 (d) −16/15
  4. 4.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  5. 5.What is the additive inverse of −1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  6. 6.What is (−2/7) − (−2/5)? (a) −24/35 (b) 0 (c) 4/35 (d) −4/35
  7. 7.What is (−2/7) − 1/8? (a) −23/56 (b) −9/56 (c) −1/5 (d) 23/56
  8. 8.Which is bigger: −5/9 or −1/9? (a) −5/9 (b) −1/9
  9. 9.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  11. 11.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −28/32
  12. 12.What is (−1/8) − 1/3? (a) −2/11 (b) 5/24 (c) 11/24 (d) −11/24
  13. 13.What is 5/7 + (−7/8)? (a) 89/56 (b) 9/56 (c) −9/56 (d) −2/15
  14. 14.What is (−7/8) − 2/3? (a) 37/24 (b) −9/11 (c) −5/24 (d) −37/24
  15. 15.What is (−1/3) − 4/5? (a) −5/8 (b) 17/15 (c) 7/15 (d) −17/15
  16. 16.Which is bigger: −2/5 or −1/8? (a) −1/8 (b) −2/5
  17. 17.What is 2/5 − (−1/6)? (a) 3/11 (b) 7/30 (c) 17/30 (d) −17/30
  18. 18.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  19. 19.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  20. 20.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −15/18
  21. 21.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  22. 22.Which is smaller: −1/6 or 5/8? (a) −1/6 (b) 5/8
  23. 23.What is (−5/6) + 4/9? (a) −1/15 (b) −7/18 (c) −23/18 (d) 7/18
  24. 24.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Is 1/2 positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −5/8 or −2/5? (a) −2/5 (b) −5/8
  27. 27.Is −4/5 positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −2/9 or 8/9? (a) 8/9 (b) −2/9
  29. 29.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  30. 30.Which is smaller: −4/7 or −2/9? (a) −2/9 (b) −4/7
  31. 31.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) 5/8 (d) −8/5
  32. 32.Which is bigger: −3/5 or −7/8? (a) −7/8 (b) −3/5
  33. 33.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  34. 34.What is (−4/9) + (−7/9)? (a) −11/9 (b) 11/9 (c) −11/18 (d) 1/3
  35. 35.What is (−3/8) − (−3/4)? (a) −3/8 (b) 3/8 (c) 0 (d) −9/8
  36. 36.What is (−4/9) − 1/9? (a) −5/18 (b) −5/9 (c) −1/3 (d) 5/9
  37. 37.What is (−2/9) + (−1/5)? (a) 19/45 (b) −3/14 (c) −19/45 (d) −1/45
  38. 38.What is (−2/9) + 3/8? (a) 1/17 (b) −43/72 (c) −11/72 (d) 11/72
  39. 39.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −21/27 (c) −9/7 (d) −7/9
  40. 40.Is 9/3 positive or negative? (a) Negative (b) Positive

Answer key

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

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