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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 973 · 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.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  2. 2.What is 1/5 + (−4/9)? (a) 11/45 (b) −11/45 (c) 29/45 (d) −3/14
  3. 3.What is 1/8 − (−6/7)? (a) 55/56 (b) 7/15 (c) −55/56 (d) −41/56
  4. 4.What is (−4/9) + 7/9? (a) −1/3 (b) 1/3 (c) 1/6 (d) −11/9
  5. 5.What is (−2/5) − (−3/8)? (a) 1/40 (b) −1/40 (c) 1/13 (d) −31/40
  6. 6.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −16/18
  7. 7.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) 6/7 (d) −7/6
  8. 8.What is the additive inverse of 3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  9. 9.What is (−4/9) + 3/7? (a) 1/63 (b) −55/63 (c) −1/16 (d) −1/63
  10. 10.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  11. 11.What is (−1/2) + 1/5? (a) 3/10 (b) −3/10 (c) 0 (d) −7/10
  12. 12.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  13. 13.What is (−4/9) − (−2/5)? (a) 2/45 (b) −38/45 (c) −1/7 (d) −2/45
  14. 14.Which is bigger: −2/3 or −5/6? (a) −2/3 (b) −5/6
  15. 15.What is 2/5 + (−5/8)? (a) −3/13 (b) 41/40 (c) −9/40 (d) 9/40
  16. 16.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −5/6 or 1/9? (a) 1/9 (b) −5/6
  18. 18.What is (−2/3) − (−1/6)? (a) −1/9 (b) −5/6 (c) 1/2 (d) −1/2
  19. 19.What is (−5/7) − (−2/3)? (a) −3/10 (b) −29/21 (c) −1/21 (d) 1/21
  20. 20.Write −30/35 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −30/35 (d) 6/7
  21. 21.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  22. 22.What is (−1/6) + (−3/5)? (a) 13/30 (b) 23/30 (c) −4/11 (d) −23/30
  23. 23.What is 1/5 − (−3/4)? (a) −19/20 (b) 19/20 (c) 4/9 (d) −11/20
  24. 24.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  25. 25.Which is bigger: −6/7 or −2/5? (a) −2/5 (b) −6/7
  26. 26.What is (−5/9) − (−5/6)? (a) 5/18 (b) −5/18 (c) −25/18 (d) 0
  27. 27.Which is bigger: −3/5 or 7/9? (a) −3/5 (b) 7/9
  28. 28.What is 5/7 + (−1/5)? (a) −18/35 (b) 18/35 (c) 32/35 (d) 1/3
  29. 29.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −12/18 (c) −3/2 (d) 2/3
  30. 30.Is 5/8 positive or negative? (a) Negative (b) Positive
  31. 31.What is the additive inverse of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  32. 32.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  33. 33.Which is bigger: −1/8 or −4/7? (a) −4/7 (b) −1/8
  34. 34.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  35. 35.What is (−1/6) + (−1/8)? (a) 7/24 (b) −7/24 (c) −1/24 (d) −1/7
  36. 36.Is −5/4 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −2/9 or −1/9? (a) −2/9 (b) −1/9
  38. 38.Which is bigger: −2/7 or 5/7? (a) 5/7 (b) −2/7
  39. 39.What is the additive inverse of −1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8
  40. 40.What is (−7/8) + 1/6? (a) 17/24 (b) −3/7 (c) −17/24 (d) −25/24

Answer key

  1. Negative
  2. −11/45
  3. 55/56
  4. 1/3
  5. −1/40
  6. −8/9
  7. −6/7
  8. −3/7
  9. −1/63
  10. Negative
  11. −3/10
  12. 7
  13. −2/45
  14. −2/3
  15. −9/40
  16. Positive
  17. 1/9
  18. −1/2
  19. −1/21
  20. −6/7
  21. 5/9
  22. −23/30
  23. 19/20
  24. 4
  25. −2/5
  26. 5/18
  27. 7/9
  28. 18/35
  29. −2/3
  30. Positive
  31. 3/7
  32. 7/4
  33. −1/8
  34. 1/6
  35. −7/24
  36. Negative
  37. −2/9
  38. 5/7
  39. 1/8
  40. −17/24

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