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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 466 · 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 (−2/3) − 2/3? (a) 0 (b) 4/3 (c) −2/3 (d) −4/3
  2. 2.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  3. 3.What is 1/8 + (−4/9)? (a) −3/17 (b) 23/72 (c) −23/72 (d) 41/72
  4. 4.What is (−3/4) + (−1/5)? (a) 19/20 (b) −11/20 (c) −19/20 (d) −4/9
  5. 5.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) 1/9 (d) −9/1
  6. 6.Which is smaller: −7/8 or −1/8? (a) −1/8 (b) −7/8
  7. 7.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  8. 8.What is (−1/2) + (−8/9)? (a) 7/18 (b) 25/18 (c) −25/18 (d) −9/11
  9. 9.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  10. 10.Which is bigger: −1/8 or −3/5? (a) −3/5 (b) −1/8
  11. 11.Which is smaller: −8/9 or 1/5? (a) −8/9 (b) 1/5
  12. 12.What is (−4/7) − (−1/2)? (a) −1/14 (b) 1/14 (c) −1/3 (d) −15/14
  13. 13.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −4/3 (c) −3/4 (d) 3/4
  14. 14.Which is smaller: −2/3 or −5/6? (a) −5/6 (b) −2/3
  15. 15.Which is smaller: −2/5 or −5/7? (a) −5/7 (b) −2/5
  16. 16.What is (−2/9) − 3/5? (a) 37/45 (b) −5/14 (c) 17/45 (d) −37/45
  17. 17.What is (−5/6) − 3/4? (a) 19/12 (b) −1/12 (c) −19/12 (d) −4/5
  18. 18.What is 1/9 − (−1/8)? (a) 2/17 (b) 17/72 (c) −17/72 (d) −1/72
  19. 19.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −4/18
  20. 20.Is 2/4 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−3/5) − 1/5? (a) 4/5 (b) −2/5 (c) −4/5
  22. 22.What is 1/5 + (−1/2)? (a) 7/10 (b) −3/10 (c) 0 (d) 3/10
  23. 23.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) −5/3 (d) 3/5
  24. 24.Write −12/16 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −12/16
  25. 25.Is 7/8 positive or negative? (a) Positive (b) Negative
  26. 26.What is 2/9 + (−5/7)? (a) 31/63 (b) 59/63 (c) −31/63 (d) −3/16
  27. 27.Which is smaller: −2/7 or 2/3? (a) 2/3 (b) −2/7
  28. 28.Which is smaller: −2/5 or −5/6? (a) −2/5 (b) −5/6
  29. 29.What is (−6/7) + (−1/6)? (a) −43/42 (b) −7/13 (c) −29/42 (d) 43/42
  30. 30.What is 6/7 + (−1/8)? (a) 41/56 (b) 55/56 (c) −41/56 (d) 1/3
  31. 31.What is (−2/3) + (−5/9)? (a) −1/9 (b) 11/9 (c) −11/9 (d) −7/12
  32. 32.What is the additive inverse of −1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  33. 33.What is (−5/9) + (−2/3)? (a) −11/9 (b) 11/9 (c) 1/9 (d) −7/12
  34. 34.What is (−5/7) + 1/5? (a) −32/35 (b) 18/35 (c) −1/3 (d) −18/35
  35. 35.What is (−4/5) − 3/7? (a) −13/35 (b) 43/35 (c) −7/12 (d) −43/35
  36. 36.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  37. 37.What is (−3/5) + (−1/7)? (a) −16/35 (b) −26/35 (c) −1/3 (d) 26/35
  38. 38.Which is smaller: −7/8 or −2/9? (a) −7/8 (b) −2/9
  39. 39.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  40. 40.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6

Answer key

  1. −4/3
  2. Negative
  3. −23/72
  4. −19/20
  5. −1/9
  6. −7/8
  7. −1/2
  8. −25/18
  9. 9
  10. −1/8
  11. −8/9
  12. −1/14
  13. −3/4
  14. −5/6
  15. −5/7
  16. −37/45
  17. −19/12
  18. 17/72
  19. −2/9
  20. Positive
  21. −4/5
  22. −3/10
  23. −3/5
  24. −3/4
  25. Positive
  26. −31/63
  27. −2/7
  28. −5/6
  29. −43/42
  30. 41/56
  31. −11/9
  32. 1/8
  33. −11/9
  34. −18/35
  35. −43/35
  36. −5/7
  37. −26/35
  38. −7/8
  39. 5/2
  40. −6

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