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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 254 · 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 7/3 positive or negative? (a) Positive (b) Negative
  2. 2.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −15/35
  3. 3.What is (−1/8) + (−1/3)? (a) −2/11 (b) −11/24 (c) 11/24 (d) 5/24
  4. 4.Is 1/2 positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  6. 6.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  7. 7.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −15/24 (c) −8/5 (d) −5/8
  8. 8.What is (−5/9) − (−7/8)? (a) −23/72 (b) 23/72 (c) −103/72 (d) 2/17
  9. 9.Write −20/32 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −20/32 (c) 5/8 (d) −5/8
  10. 10.Which is bigger: −3/4 or 5/7? (a) −3/4 (b) 5/7
  11. 11.Which is bigger: −8/9 or −4/7? (a) −8/9 (b) −4/7
  12. 12.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) 5/9 (d) −5/9
  13. 13.Which is bigger: −5/7 or −3/4? (a) −5/7 (b) −3/4
  14. 14.What is 4/9 + (−5/7)? (a) −17/63 (b) 17/63 (c) 73/63 (d) −1/16
  15. 15.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  16. 16.Which is bigger: −4/7 or −5/8? (a) −5/8 (b) −4/7
  17. 17.What is 3/8 − (−2/3)? (a) −25/24 (b) −7/24 (c) 25/24 (d) 5/11
  18. 18.What is (−2/9) − 6/7? (a) 68/63 (b) −1/2 (c) 40/63 (d) −68/63
  19. 19.What is 2/7 − (−2/5)? (a) −4/35 (b) −24/35 (c) 1/3 (d) 24/35
  20. 20.What is 1/3 − (−5/6)? (a) −7/6 (b) −1/2 (c) 7/6 (d) 2/3
  21. 21.Is 6/2 positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  23. 23.What is the additive inverse of 2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9
  24. 24.What is 1/6 − (−3/4)? (a) 2/5 (b) −7/12 (c) 11/12 (d) −11/12
  25. 25.What is 4/9 + (−1/5)? (a) 29/45 (b) −11/45 (c) 11/45 (d) 3/14
  26. 26.Write −5/15 in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) 1/3 (d) −3/1
  27. 27.What is (−2/9) + 3/4? (a) −35/36 (b) 19/36 (c) 1/13 (d) −19/36
  28. 28.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  29. 29.Which is bigger: −3/4 or 5/6? (a) 5/6 (b) −3/4
  30. 30.Which is smaller: −1/4 or −2/7? (a) −2/7 (b) −1/4
  31. 31.Is 9/6 positive or negative? (a) Negative (b) Positive
  32. 32.Is 2/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−4/9) + 6/7? (a) 26/63 (b) −82/63 (c) 1/8 (d) −26/63
  34. 34.Which is bigger: −5/8 or 2/3? (a) −5/8 (b) 2/3
  35. 35.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  36. 36.What is the additive inverse of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  37. 37.Which is bigger: −6/7 or −2/5? (a) −6/7 (b) −2/5
  38. 38.What is 2/3 + (−1/3)? (a) 1/3 (b) 1 (c) −1/3 (d) 1/6
  39. 39.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) 9 (c) −1/9 (d) −9
  40. 40.What is 7/9 + (−5/6)? (a) 1/18 (b) 2/15 (c) −1/18 (d) 29/18

Answer key

  1. Positive
  2. −3/7
  3. −11/24
  4. Positive
  5. 4
  6. Negative
  7. −5/8
  8. 23/72
  9. −5/8
  10. 5/7
  11. −4/7
  12. −5/9
  13. −5/7
  14. −17/63
  15. −5/3
  16. −4/7
  17. 25/24
  18. −68/63
  19. 24/35
  20. 7/6
  21. Positive
  22. −3/2
  23. −2/9
  24. 11/12
  25. 11/45
  26. −1/3
  27. 19/36
  28. −6/7
  29. 5/6
  30. −2/7
  31. Positive
  32. Positive
  33. 26/63
  34. 2/3
  35. 9/7
  36. 7/9
  37. −2/5
  38. 1/3
  39. 9
  40. −1/18

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