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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 536 · 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: −6/7 or −3/7? (a) −6/7 (b) −3/7
  2. 2.Which is bigger: −4/9 or −1/7? (a) −1/7 (b) −4/9
  3. 3.What is (−5/9) + (−1/5)? (a) −16/45 (b) 34/45 (c) −3/7 (d) −34/45
  4. 4.What is (−3/7) − (−8/9)? (a) 29/63 (b) −29/63 (c) −83/63 (d) 5/16
  5. 5.Is −7/(−8) positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  7. 7.What is 2/9 − (−5/7)? (a) 59/63 (b) −59/63 (c) −31/63 (d) 7/16
  8. 8.Which is smaller: −7/8 or 5/6? (a) 5/6 (b) −7/8
  9. 9.Which is bigger: −4/9 or −5/8? (a) −4/9 (b) −5/8
  10. 10.What is (−2/5) + (−3/4)? (a) 23/20 (b) 7/20 (c) −5/9 (d) −23/20
  11. 11.Is −3/3 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/6) + (−2/5)? (a) −3/11 (b) 7/30 (c) 17/30 (d) −17/30
  13. 13.What is (−3/7) + 1/2? (a) −2/9 (b) 1/14 (c) −1/14 (d) −13/14
  14. 14.What is (−5/8) + 6/7? (a) −83/56 (b) 13/56 (c) −13/56 (d) 1/15
  15. 15.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of −7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  17. 17.Which is smaller: −5/7 or 4/7? (a) −5/7 (b) 4/7
  18. 18.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  19. 19.What is 3/7 − (−2/3)? (a) −23/21 (b) −5/21 (c) 23/21 (d) 1/2
  20. 20.What is 8/9 + (−7/8)? (a) −1/72 (b) 1/17 (c) 1/72 (d) 127/72
  21. 21.Which is bigger: −4/5 or 1/2? (a) −4/5 (b) 1/2
  22. 22.What is 2/9 + (−2/3)? (a) 8/9 (b) 4/9 (c) −4/9 (d) 0
  23. 23.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  24. 24.Which is bigger: −5/7 or −5/6? (a) −5/6 (b) −5/7
  25. 25.What is the reciprocal (multiplicative inverse) of 3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  26. 26.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −28/36 (b) −7/9 (c) 7/9 (d) −9/7
  27. 27.What is the additive inverse of −5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  28. 28.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −30/54
  29. 29.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  30. 30.What is (−5/6) + 7/8? (a) 1/7 (b) −1/24 (c) −41/24 (d) 1/24
  31. 31.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) −9/7 (c) 7/9 (d) −7/9
  32. 32.What is 1/8 + (−5/7)? (a) −4/15 (b) 33/56 (c) 47/56 (d) −33/56
  33. 33.What is the additive inverse of 1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
  34. 34.What is 4/5 − (−1/4)? (a) −21/20 (b) 5/9 (c) 11/20 (d) 21/20
  35. 35.Which is bigger: −8/9 or −1/4? (a) −8/9 (b) −1/4
  36. 36.What is (−1/7) − (−3/8)? (a) 13/56 (b) 2/15 (c) −13/56 (d) −29/56
  37. 37.Is −5/5 positive or negative? (a) Positive (b) Negative
  38. 38.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−5/7) + 4/5? (a) −53/35 (b) 3/35 (c) −3/35 (d) −1/12
  40. 40.Which is bigger: −2/5 or −3/4? (a) −3/4 (b) −2/5

Answer key

  1. −3/7
  2. −1/7
  3. −34/45
  4. 29/63
  5. Positive
  6. 8/7
  7. 59/63
  8. −7/8
  9. −4/9
  10. −23/20
  11. Negative
  12. −17/30
  13. 1/14
  14. 13/56
  15. Positive
  16. 7/9
  17. −5/7
  18. Positive
  19. 23/21
  20. 1/72
  21. 1/2
  22. −4/9
  23. 7
  24. −5/7
  25. 8/3
  26. −7/9
  27. 5/9
  28. −5/9
  29. −3
  30. 1/24
  31. −7/9
  32. −33/56
  33. −1/2
  34. 21/20
  35. −1/4
  36. 13/56
  37. Negative
  38. Positive
  39. 3/35
  40. −2/5

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