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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 936 · 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.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 6 (c) −6 (d) 1/6
  2. 2.Which is smaller: −3/5 or 1/3? (a) −3/5 (b) 1/3
  3. 3.What is (−2/7) − (−1/3)? (a) −1/10 (b) −1/21 (c) −13/21 (d) 1/21
  4. 4.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −18/48
  5. 5.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  6. 6.Is 7/2 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −7/9 or 1/4? (a) 1/4 (b) −7/9
  8. 8.Which is smaller: −6/7 or −1/4? (a) −1/4 (b) −6/7
  9. 9.What is 4/9 − (−4/7)? (a) 64/63 (b) −64/63 (c) −8/63 (d) 1/2
  10. 10.Which is smaller: −7/9 or 1/4? (a) −7/9 (b) 1/4
  11. 11.What is (−1/3) − (−6/7)? (a) −25/21 (b) 11/21 (c) 1/2 (d) −11/21
  12. 12.Which is smaller: −1/4 or 1/9? (a) −1/4 (b) 1/9
  13. 13.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  14. 14.What is 4/9 + (−1/8)? (a) 23/72 (b) −23/72 (c) 41/72 (d) 3/17
  15. 15.Which is bigger: −5/9 or −2/5? (a) −5/9 (b) −2/5
  16. 16.What is (−2/3) + 1/2? (a) −7/6 (b) −1/5 (c) −1/6 (d) 1/6
  17. 17.What is 1/3 − (−6/7)? (a) −25/21 (b) 7/10 (c) 25/21 (d) −11/21
  18. 18.Write −9/12 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −9/12
  19. 19.What is (−2/5) − 6/7? (a) 44/35 (b) −44/35 (c) 16/35 (d) −2/3
  20. 20.What is (−2/7) + 2/7? (a) 0 (b) −4/7
  21. 21.Which is bigger: −6/7 or −3/4? (a) −3/4 (b) −6/7
  22. 22.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −6/54 (d) −9/1
  23. 23.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −10/16 (d) −5/8
  24. 24.What is (−1/3) + 2/5? (a) 1/8 (b) 1/15 (c) −1/15 (d) −11/15
  25. 25.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −3/6 (d) 1/2
  26. 26.What is 1/3 − (−5/6)? (a) 2/3 (b) −1/2 (c) −7/6 (d) 7/6
  27. 27.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.What is 1/8 − (−3/7)? (a) 31/56 (b) −31/56 (c) 4/15 (d) −17/56
  29. 29.Write −20/24 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −20/24 (d) −6/5
  30. 30.Is −1/6 positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −1/9 or −1/3? (a) −1/9 (b) −1/3
  32. 32.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  33. 33.Which is smaller: −1/4 or 3/4? (a) 3/4 (b) −1/4
  34. 34.Which is bigger: −1/6 or −1/5? (a) −1/5 (b) −1/6
  35. 35.What is (−7/9) − 1/6? (a) −8/15 (b) −11/18 (c) −17/18 (d) 17/18
  36. 36.What is (−1/5) + 1/7? (a) −2/35 (b) −12/35 (c) 2/35 (d) 0
  37. 37.What is (−2/7) + 5/6? (a) 3/13 (b) −47/42 (c) 23/42 (d) −23/42
  38. 38.Which is bigger: −1/7 or 5/7? (a) −1/7 (b) 5/7
  39. 39.What is the additive inverse of −1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  40. 40.Which is smaller: −1/8 or −4/9? (a) −4/9 (b) −1/8

Answer key

  1. −6
  2. −3/5
  3. 1/21
  4. −3/8
  5. Negative
  6. Positive
  7. 1/4
  8. −6/7
  9. 64/63
  10. −7/9
  11. 11/21
  12. −1/4
  13. 7/3
  14. 23/72
  15. −2/5
  16. −1/6
  17. 25/21
  18. −3/4
  19. −44/35
  20. 0
  21. −3/4
  22. −1/9
  23. −5/8
  24. 1/15
  25. −1/2
  26. 7/6
  27. Positive
  28. 31/56
  29. −5/6
  30. Negative
  31. −1/3
  32. −5/3
  33. −1/4
  34. −1/6
  35. −17/18
  36. −2/35
  37. 23/42
  38. 5/7
  39. 1/8
  40. −4/9

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