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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 559 · 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 bigger: −2/3 or −4/9? (a) −2/3 (b) −4/9
  2. 2.Which is bigger: −1/2 or −3/7? (a) −3/7 (b) −1/2
  3. 3.What is (−4/5) + 5/7? (a) −3/35 (b) 1/12 (c) 3/35 (d) −53/35
  4. 4.Which is smaller: −1/5 or −5/9? (a) −5/9 (b) −1/5
  5. 5.Which is bigger: −5/6 or −5/7? (a) −5/6 (b) −5/7
  6. 6.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  8. 8.What is (−1/8) − (−5/6)? (a) 2/7 (b) 17/24 (c) −17/24 (d) −23/24
  9. 9.Which is smaller: −5/9 or 1/6? (a) −5/9 (b) 1/6
  10. 10.What is (−3/8) − 7/9? (a) 29/72 (b) −10/17 (c) 83/72 (d) −83/72
  11. 11.What is (−1/3) + 2/5? (a) 1/8 (b) −1/15 (c) −11/15 (d) 1/15
  12. 12.Which is smaller: −1/5 or −3/5? (a) −1/5 (b) −3/5
  13. 13.What is (−4/5) + 6/7? (a) 2/35 (b) −58/35 (c) −2/35 (d) 1/6
  14. 14.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −10/14
  15. 15.Which is bigger: −5/7 or 1/6? (a) −5/7 (b) 1/6
  16. 16.Is 7/6 positive or negative? (a) Negative (b) Positive
  17. 17.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −12/18 (c) 2/3 (d) −3/2
  18. 18.What is 2/7 + (−3/5)? (a) −1/12 (b) −11/35 (c) 31/35 (d) 11/35
  19. 19.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−3/4) + (−1/9)? (a) −31/36 (b) −4/13 (c) −23/36 (d) 31/36
  21. 21.What is (−3/5) + (−6/7)? (a) −3/4 (b) −51/35 (c) 51/35 (d) 9/35
  22. 22.What is (−4/9) − (−7/9)? (a) 1/6 (b) 1/3 (c) −11/9 (d) −1/3
  23. 23.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) 1/5 (d) −5/1
  24. 24.What is (−3/8) + 3/8? (a) 0 (b) −3/4
  25. 25.Which is bigger: −8/9 or −5/8? (a) −8/9 (b) −5/8
  26. 26.What is 3/4 + (−7/9)? (a) 1/36 (b) −1/36 (c) −4/13 (d) 55/36
  27. 27.Which is smaller: −4/5 or −1/5? (a) −4/5 (b) −1/5
  28. 28.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  30. 30.Which is bigger: −1/9 or −1/3? (a) −1/3 (b) −1/9
  31. 31.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −9/1 (d) −1/9
  32. 32.What is 3/7 + (−2/5)? (a) 29/35 (b) 1/12 (c) 1/35 (d) −1/35
  33. 33.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  34. 34.What is (−3/8) − (−2/3)? (a) −7/24 (b) 7/24 (c) −1/11 (d) −25/24
  35. 35.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −5/9 or 3/7? (a) 3/7 (b) −5/9
  38. 38.Which is smaller: −5/7 or −1/2? (a) −5/7 (b) −1/2
  39. 39.What is 1/5 + (−1/5)? (a) 0 (b) 2/5
  40. 40.What is (−6/7) + 5/6? (a) −1/42 (b) −1/13 (c) −71/42 (d) 1/42

Answer key

  1. −4/9
  2. −3/7
  3. −3/35
  4. −5/9
  5. −5/7
  6. Positive
  7. 1/9
  8. 17/24
  9. −5/9
  10. −83/72
  11. 1/15
  12. −3/5
  13. 2/35
  14. −5/7
  15. 1/6
  16. Positive
  17. −2/3
  18. −11/35
  19. Positive
  20. −31/36
  21. −51/35
  22. 1/3
  23. −1/5
  24. 0
  25. −5/8
  26. −1/36
  27. −4/5
  28. Negative
  29. 9
  30. −1/9
  31. −1/9
  32. 1/35
  33. 7/5
  34. 7/24
  35. Negative
  36. Negative
  37. −5/9
  38. −5/7
  39. 0
  40. −1/42

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