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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 821 · 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 the additive inverse of 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  2. 2.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  3. 3.What is (−2/5) + 7/8? (a) −19/40 (b) −51/40 (c) 5/13 (d) 19/40
  4. 4.What is (−1/6) + 5/6? (a) 1/3 (b) 2/3 (c) −2/3 (d) −1
  5. 5.Which is bigger: −5/9 or −1/6? (a) −5/9 (b) −1/6
  6. 6.Is −1/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  8. 8.Which is bigger: −3/8 or −1/8? (a) −1/8 (b) −3/8
  9. 9.What is (−2/3) − (−7/9)? (a) −13/9 (b) 1/9 (c) 5/12 (d) −1/9
  10. 10.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −12/16
  11. 11.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −4/14 (d) −2/7
  12. 12.Which is bigger: −1/4 or −4/5? (a) −4/5 (b) −1/4
  13. 13.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −12/15 (b) 4/5 (c) −5/4 (d) −4/5
  14. 14.What is the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  15. 15.What is 4/7 − (−4/9)? (a) 64/63 (b) 1/2 (c) 8/63 (d) −64/63
  16. 16.Which is bigger: −1/8 or −1/5? (a) −1/5 (b) −1/8
  17. 17.Is 3/8 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/7) + 1/9? (a) 20/63 (b) −1/8 (c) −34/63 (d) −20/63
  19. 19.Which is bigger: −1/7 or −1/9? (a) −1/9 (b) −1/7
  20. 20.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) −6/7 (d) 6/7
  21. 21.Which is smaller: −2/5 or −1/6? (a) −2/5 (b) −1/6
  22. 22.What is (−2/5) − 2/9? (a) 28/45 (b) −28/45 (c) −2/7 (d) −8/45
  23. 23.What is the additive inverse of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  24. 24.What is 3/8 − (−2/7)? (a) 1/3 (b) 37/56 (c) 5/56 (d) −37/56
  25. 25.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.Is −1/6 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −5/9 or 4/5? (a) −5/9 (b) 4/5
  28. 28.Is 5/8 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−6/7) − 7/9? (a) 103/63 (b) −5/63 (c) −13/16 (d) −103/63
  30. 30.Which is smaller: −4/7 or −8/9? (a) −8/9 (b) −4/7
  31. 31.What is 4/5 + (−1/3)? (a) −7/15 (b) 7/15 (c) 3/8 (d) 17/15
  32. 32.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  33. 33.Is −6/8 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−2/3) − (−6/7)? (a) −32/21 (b) 2/5 (c) −4/21 (d) 4/21
  35. 35.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5
  36. 36.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −12/32 (c) −3/8 (d) −8/3
  37. 37.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −8/9 (c) −9/8 (d) 8/9
  38. 38.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) 1/4 (c) −1/4 (d) −4/1
  39. 39.What is (−1/9) + 1/6? (a) −5/18 (b) −1/18 (c) 0 (d) 1/18
  40. 40.Which is bigger: −5/6 or 2/3? (a) −5/6 (b) 2/3

Answer key

  1. −4/9
  2. −1/4
  3. 19/40
  4. 2/3
  5. −1/6
  6. Negative
  7. −7/3
  8. −1/8
  9. 1/9
  10. −3/4
  11. −2/7
  12. −1/4
  13. −4/5
  14. 6/7
  15. 64/63
  16. −1/8
  17. Positive
  18. −20/63
  19. −1/9
  20. −6/7
  21. −2/5
  22. −28/45
  23. 7/8
  24. 37/56
  25. Positive
  26. Negative
  27. −5/9
  28. Positive
  29. −103/63
  30. −8/9
  31. 7/15
  32. Positive
  33. Negative
  34. 4/21
  35. −2/5
  36. −3/8
  37. −8/9
  38. −1/4
  39. 1/18
  40. 2/3

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