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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 644 · 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 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  2. 2.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  3. 3.Which is bigger: −1/2 or −3/4? (a) −3/4 (b) −1/2
  4. 4.Which is bigger: −6/7 or −7/9? (a) −7/9 (b) −6/7
  5. 5.What is 2/7 + (−2/7)? (a) 4/7 (b) 0
  6. 6.Which is bigger: −5/9 or −1/2? (a) −1/2 (b) −5/9
  7. 7.Is 8/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −4/36
  9. 9.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −15/18 (d) 5/6
  10. 10.What is the additive inverse of 1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  11. 11.What is (−1/6) + 1/5? (a) 1/30 (b) −11/30 (c) 0 (d) −1/30
  12. 12.What is 1/6 + (−3/8)? (a) −1/7 (b) 13/24 (c) −5/24 (d) 5/24
  13. 13.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −9/12 (c) 3/4 (d) −4/3
  14. 14.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  15. 15.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/9) + 5/8? (a) 3/17 (b) 29/72 (c) −29/72 (d) −61/72
  17. 17.Which is bigger: −1/6 or −3/8? (a) −3/8 (b) −1/6
  18. 18.What is (−1/3) − 1/4? (a) −1/12 (b) −7/12 (c) 7/12 (d) −2/7
  19. 19.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5
  20. 20.What is 1/9 + (−1/4)? (a) −5/36 (b) 5/36 (c) 13/36 (d) 0
  21. 21.Which is smaller: −4/9 or −5/9? (a) −4/9 (b) −5/9
  22. 22.What is (−7/9) + (−2/3)? (a) −13/9 (b) −3/4 (c) 13/9 (d) −1/9
  23. 23.What is (−7/8) + 2/3? (a) 5/24 (b) −5/11 (c) −5/24 (d) −37/24
  24. 24.What is (−2/7) + (−1/8)? (a) 23/56 (b) −23/56 (c) −9/56 (d) −1/5
  25. 25.What is 1/8 − (−5/8)? (a) −3/4 (b) −1/2 (c) 3/4 (d) 3/8
  26. 26.Which is bigger: −3/5 or −5/6? (a) −5/6 (b) −3/5
  27. 27.What is (−7/8) − (−4/5)? (a) −67/40 (b) −3/40 (c) 3/40 (d) −3/13
  28. 28.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  29. 29.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −6/15
  30. 30.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −8/12
  32. 32.What is 5/8 + (−1/9)? (a) 53/72 (b) 37/72 (c) −37/72 (d) 4/17
  33. 33.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  34. 34.Is −5/8 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/2) + (−8/9)? (a) −9/11 (b) −25/18 (c) 7/18 (d) 25/18
  36. 36.Is 4/4 positive or negative? (a) Negative (b) Positive
  37. 37.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −6/24 (d) 1/4
  38. 38.What is 7/9 − (−5/7)? (a) 94/63 (b) 3/4 (c) 4/63 (d) −94/63
  39. 39.Which is bigger: −3/7 or −1/4? (a) −3/7 (b) −1/4
  40. 40.Which is smaller: −3/4 or −2/9? (a) −3/4 (b) −2/9

Answer key

  1. −5/6
  2. 9/7
  3. −1/2
  4. −7/9
  5. 0
  6. −1/2
  7. Negative
  8. −1/9
  9. −5/6
  10. −1/9
  11. 1/30
  12. −5/24
  13. −3/4
  14. −5/7
  15. Negative
  16. 29/72
  17. −1/6
  18. −7/12
  19. −5/8
  20. −5/36
  21. −5/9
  22. −13/9
  23. −5/24
  24. −23/56
  25. 3/4
  26. −3/5
  27. −3/40
  28. −6
  29. −2/5
  30. Positive
  31. −2/3
  32. 37/72
  33. −7/8
  34. Negative
  35. −25/18
  36. Positive
  37. −1/4
  38. 94/63
  39. −1/4
  40. −3/4

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