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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 71 · 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 smaller: −2/5 or 5/9? (a) −2/5 (b) 5/9
  2. 2.Which is bigger: −2/9 or 6/7? (a) −2/9 (b) 6/7
  3. 3.Which is bigger: −5/9 or 5/6? (a) 5/6 (b) −5/9
  4. 4.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  5. 5.Is −8/4 positive or negative? (a) Positive (b) Negative
  6. 6.What is 1/5 − (−7/8)? (a) −43/40 (b) −27/40 (c) 43/40 (d) 8/13
  7. 7.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −2/1 (d) −1/2
  8. 8.Which is bigger: −2/3 or −1/4? (a) −2/3 (b) −1/4
  9. 9.What is (−2/3) + (−2/3)? (a) −2/3 (b) 4/3 (c) −4/3 (d) 0
  10. 10.Which is smaller: −5/6 or −1/9? (a) −5/6 (b) −1/9
  11. 11.What is (−1/4) − (−1/3)? (a) −7/12 (b) 0 (c) 1/12 (d) −1/12
  12. 12.Write −25/40 in standard form (lowest terms, positive denominator). (a) −25/40 (b) −5/8 (c) 5/8 (d) −8/5
  13. 13.Which is smaller: −5/7 or −1/4? (a) −1/4 (b) −5/7
  14. 14.What is 1/6 + (−4/7)? (a) −3/13 (b) 31/42 (c) −17/42 (d) 17/42
  15. 15.What is 1/8 + (−3/7)? (a) 31/56 (b) −2/15 (c) −17/56 (d) 17/56
  16. 16.Which is bigger: −1/5 or −2/5? (a) −2/5 (b) −1/5
  17. 17.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −4/18 (d) −2/9
  18. 18.What is (−3/4) − 1/8? (a) 7/8 (b) −5/8 (c) −1/3 (d) −7/8
  19. 19.What is 5/8 + (−3/5)? (a) 2/13 (b) 49/40 (c) 1/40 (d) −1/40
  20. 20.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  21. 21.What is (−3/7) − 1/4? (a) −19/28 (b) −4/11 (c) −5/28 (d) 19/28
  22. 22.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  23. 23.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  24. 24.Which is bigger: −5/8 or −3/5? (a) −3/5 (b) −5/8
  25. 25.What is (−2/9) + 3/8? (a) −11/72 (b) 11/72 (c) 1/17 (d) −43/72
  26. 26.What is 2/7 + (−5/7)? (a) −3/7 (b) 1 (c) 3/7 (d) −3/14
  27. 27.What is (−8/9) − (−4/7)? (a) −20/63 (b) −1/4 (c) 20/63 (d) −92/63
  28. 28.What is (−2/9) + (−8/9)? (a) 2/3 (b) −5/9 (c) 10/9 (d) −10/9
  29. 29.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  30. 30.Is 3/7 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−4/7) − (−1/5)? (a) −27/35 (b) 13/35 (c) −13/35 (d) −1/4
  32. 32.What is (−4/7) − (−8/9)? (a) −92/63 (b) 20/63 (c) 1/4 (d) −20/63
  33. 33.What is (−1/2) + 1/4? (a) 0 (b) −3/4 (c) 1/4 (d) −1/4
  34. 34.Write −28/32 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) −7/8 (d) 7/8
  35. 35.What is (−7/9) + 1/9? (a) 2/3 (b) −8/9 (c) −1/3 (d) −2/3
  36. 36.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  37. 37.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −9/15
  38. 38.What is 7/8 − (−4/5)? (a) 3/40 (b) −67/40 (c) 67/40 (d) 11/13
  39. 39.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  40. 40.What is (−1/2) − (−1/6)? (a) 0 (b) −2/3 (c) −1/3 (d) 1/3

Answer key

  1. −2/5
  2. 6/7
  3. 5/6
  4. −4/3
  5. Negative
  6. 43/40
  7. −1/2
  8. −1/4
  9. −4/3
  10. −5/6
  11. 1/12
  12. −5/8
  13. −5/7
  14. −17/42
  15. −17/56
  16. −1/5
  17. −2/9
  18. −7/8
  19. 1/40
  20. 3/7
  21. −19/28
  22. 9/5
  23. −9/8
  24. −3/5
  25. 11/72
  26. −3/7
  27. −20/63
  28. −10/9
  29. −8
  30. Positive
  31. −13/35
  32. 20/63
  33. −1/4
  34. −7/8
  35. −2/3
  36. 8
  37. −3/5
  38. 67/40
  39. 5
  40. −1/3

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