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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 223 · 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: −3/4 or 4/5? (a) 4/5 (b) −3/4
  2. 2.What is (−3/5) − 1/7? (a) 26/35 (b) −16/35 (c) −1/3 (d) −26/35
  3. 3.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  4. 4.Which is smaller: −1/9 or −2/9? (a) −1/9 (b) −2/9
  5. 5.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  6. 6.Which is smaller: −2/9 or −5/6? (a) −5/6 (b) −2/9
  7. 7.What is (−3/5) + (−8/9)? (a) −11/14 (b) −67/45 (c) 67/45 (d) 13/45
  8. 8.Which is bigger: −1/5 or −1/2? (a) −1/5 (b) −1/2
  9. 9.Which is smaller: −6/7 or −1/4? (a) −1/4 (b) −6/7
  10. 10.What is (−3/5) + 5/8? (a) −49/40 (b) −1/40 (c) 2/13 (d) 1/40
  11. 11.What is (−4/7) + 4/9? (a) 0 (b) −64/63 (c) 8/63 (d) −8/63
  12. 12.Which is smaller: −2/5 or −1/9? (a) −1/9 (b) −2/5
  13. 13.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) −2/7 (c) 2/7 (d) −7/2
  14. 14.Is −6/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−4/7) − 1/3? (a) −1/2 (b) −19/21 (c) 19/21 (d) −5/21
  16. 16.What is (−5/8) − (−2/3)? (a) −1/24 (b) −31/24 (c) −3/11 (d) 1/24
  17. 17.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  18. 18.Is −4/4 positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  20. 20.What is (−1/2) + (−3/5)? (a) −11/10 (b) −4/7 (c) 11/10 (d) 1/10
  21. 21.Is −8/9 positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  23. 23.What is (−4/9) + 5/9? (a) −1/9 (b) 1/9 (c) −1 (d) 1/18
  24. 24.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  25. 25.Which is bigger: −4/5 or 2/7? (a) −4/5 (b) 2/7
  26. 26.What is 5/9 − (−8/9)? (a) 13/18 (b) −1/3 (c) −13/9 (d) 13/9
  27. 27.What is the additive inverse of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  28. 28.Which is smaller: −1/6 or −1/4? (a) −1/4 (b) −1/6
  29. 29.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−5/8) + (−1/3)? (a) −6/11 (b) −23/24 (c) −7/24 (d) 23/24
  31. 31.What is 3/7 + (−1/3)? (a) −2/21 (b) 16/21 (c) 2/21 (d) 1/5
  32. 32.What is 5/9 − (−6/7)? (a) −89/63 (b) 89/63 (c) 11/16 (d) −19/63
  33. 33.What is (−1/3) − (−8/9)? (a) −11/9 (b) 7/12 (c) −5/9 (d) 5/9
  34. 34.Is −5/3 positive or negative? (a) Positive (b) Negative
  35. 35.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −3/18 (d) −1/6
  36. 36.Which is bigger: −1/7 or −3/5? (a) −3/5 (b) −1/7
  37. 37.What is (−7/8) + (−3/7)? (a) 73/56 (b) −25/56 (c) −2/3 (d) −73/56
  38. 38.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  39. 39.What is 1/6 − (−1/6)? (a) 0 (b) 1/6 (c) −1/3 (d) 1/3
  40. 40.What is 3/4 + (−1/4)? (a) 1 (b) −1/2 (c) 1/2 (d) 1/4

Answer key

  1. 4/5
  2. −26/35
  3. 3/8
  4. −2/9
  5. 4/5
  6. −5/6
  7. −67/45
  8. −1/5
  9. −6/7
  10. 1/40
  11. −8/63
  12. −2/5
  13. −2/7
  14. Negative
  15. −19/21
  16. 1/24
  17. 4
  18. Negative
  19. 3/2
  20. −11/10
  21. Negative
  22. −7
  23. 1/9
  24. Negative
  25. 2/7
  26. 13/9
  27. 1/2
  28. −1/4
  29. Positive
  30. −23/24
  31. 2/21
  32. 89/63
  33. 5/9
  34. Negative
  35. −1/6
  36. −1/7
  37. −73/56
  38. −6/7
  39. 1/3
  40. 1/2

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