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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 809 · 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 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  2. 2.What is (−4/7) − 2/3? (a) 2/21 (b) −3/5 (c) 26/21 (d) −26/21
  3. 3.What is (−6/7) + 3/8? (a) −69/56 (b) −27/56 (c) −1/5 (d) 27/56
  4. 4.Which is bigger: −6/7 or 1/6? (a) −6/7 (b) 1/6
  5. 5.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−8/9) + (−4/5)? (a) −4/45 (b) −6/7 (c) −76/45 (d) 76/45
  7. 7.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −12/30 (d) −2/5
  8. 8.What is 2/7 − (−1/4)? (a) 1/28 (b) −15/28 (c) 3/11 (d) 15/28
  9. 9.What is (−1/8) + 1/5? (a) −13/40 (b) −3/40 (c) 3/40 (d) 0
  10. 10.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  11. 11.Is 7/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−5/6) + 3/4? (a) −1/5 (b) −1/12 (c) −19/12 (d) 1/12
  13. 13.Which is bigger: −7/8 or 7/9? (a) −7/8 (b) 7/9
  14. 14.What is (−5/8) + 4/7? (a) −1/15 (b) 3/56 (c) −3/56 (d) −67/56
  15. 15.What is 3/5 − (−4/5)? (a) −1/5 (b) 7/10 (c) −7/5 (d) 7/5
  16. 16.Which is bigger: −7/9 or −2/3? (a) −7/9 (b) −2/3
  17. 17.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  18. 18.What is (−5/9) + (−1/3)? (a) −1/2 (b) −2/9 (c) −8/9 (d) 8/9
  19. 19.What is the additive inverse of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  20. 20.What is (−3/8) − 3/8? (a) −3/4 (b) 3/4 (c) 0 (d) −3/8
  21. 21.Is −4/5 positive or negative? (a) Negative (b) Positive
  22. 22.What is 2/3 − (−3/5)? (a) 5/8 (b) 1/15 (c) −19/15 (d) 19/15
  23. 23.What is 4/7 + (−3/5)? (a) 41/35 (b) 1/12 (c) 1/35 (d) −1/35
  24. 24.Is −4/7 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/3) + 1/3? (a) 0 (b) −2/3
  26. 26.What is the additive inverse of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  27. 27.Which is bigger: −1/2 or −5/8? (a) −5/8 (b) −1/2
  28. 28.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −20/25 (c) 4/5 (d) −4/5
  29. 29.Write −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −4/24 (d) −1/6
  30. 30.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  31. 31.What is (−6/7) − (−8/9)? (a) −2/63 (b) 1/8 (c) −110/63 (d) 2/63
  32. 32.What is 4/5 − (−6/7)? (a) −58/35 (b) −2/35 (c) 5/6 (d) 58/35
  33. 33.Which is smaller: −4/9 or −4/5? (a) −4/5 (b) −4/9
  34. 34.Which is bigger: −3/8 or −4/9? (a) −3/8 (b) −4/9
  35. 35.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  36. 36.What is (−1/3) + 7/9? (a) 1/2 (b) −10/9 (c) 4/9 (d) −4/9
  37. 37.Which is bigger: −4/5 or −1/9? (a) −4/5 (b) −1/9
  38. 38.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  40. 40.Is 8/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. 3
  2. −26/21
  3. −27/56
  4. 1/6
  5. Negative
  6. −76/45
  7. −2/5
  8. 15/28
  9. 3/40
  10. −5/6
  11. Positive
  12. −1/12
  13. 7/9
  14. −3/56
  15. 7/5
  16. −2/3
  17. 6
  18. −8/9
  19. 6/7
  20. −3/4
  21. Negative
  22. 19/15
  23. −1/35
  24. Negative
  25. 0
  26. −4/7
  27. −1/2
  28. −4/5
  29. −1/6
  30. 1/4
  31. 2/63
  32. 58/35
  33. −4/5
  34. −3/8
  35. −7/3
  36. 4/9
  37. −1/9
  38. Positive
  39. −3/8
  40. Negative

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