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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 601 · 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 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  2. 2.What is (−5/6) − (−1/9)? (a) −17/18 (b) −4/15 (c) −13/18 (d) 13/18
  3. 3.What is 1/6 + (−1/8)? (a) 1/24 (b) −1/24 (c) 0 (d) 7/24
  4. 4.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  5. 5.What is 1/5 − (−1/6)? (a) 2/11 (b) −11/30 (c) 11/30 (d) 1/30
  6. 6.Which is bigger: −5/9 or 3/5? (a) 3/5 (b) −5/9
  7. 7.What is (−3/4) + (−8/9)? (a) −11/13 (b) 59/36 (c) 5/36 (d) −59/36
  8. 8.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  9. 9.What is (−5/9) + (−4/5)? (a) 61/45 (b) −61/45 (c) 11/45 (d) −9/14
  10. 10.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −28/36 (d) 7/9
  11. 11.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−3/4) + 4/7? (a) −37/28 (b) 5/28 (c) 1/11 (d) −5/28
  13. 13.What is the additive inverse of 5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6
  14. 14.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  15. 15.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5
  16. 16.Which is smaller: −3/8 or 5/6? (a) 5/6 (b) −3/8
  17. 17.What is (−3/5) − (−3/5)? (a) 0 (b) −6/5
  18. 18.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  19. 19.Which is bigger: −2/5 or 7/8? (a) −2/5 (b) 7/8
  20. 20.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −5/25
  21. 21.Which is bigger: −1/6 or −3/4? (a) −1/6 (b) −3/4
  22. 22.Is −4/2 positive or negative? (a) Positive (b) Negative
  23. 23.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) −8/5 (d) 5/8
  24. 24.What is (−4/7) − (−3/5)? (a) −41/35 (b) −1/35 (c) −1/12 (d) 1/35
  25. 25.What is 2/3 + (−5/8)? (a) −3/11 (b) −1/24 (c) 1/24 (d) 31/24
  26. 26.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −5/4 (c) −4/5 (d) 5/4
  27. 27.What is the additive inverse of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  28. 28.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  29. 29.Which is smaller: −2/3 or 1/9? (a) 1/9 (b) −2/3
  30. 30.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −8/5 (c) 5/8 (d) −5/8
  31. 31.Is −9/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.Is 6/7 positive or negative? (a) Negative (b) Positive
  33. 33.Write −4/28 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −4/28
  34. 34.What is 7/9 + (−7/8)? (a) 0 (b) 7/72 (c) 119/72 (d) −7/72
  35. 35.What is (−1/4) − 1/8? (a) −1/8 (b) −3/8 (c) −1/6 (d) 3/8
  36. 36.What is (−4/9) + 3/8? (a) −5/72 (b) −1/17 (c) −59/72 (d) 5/72
  37. 37.What is 5/8 + (−4/5)? (a) 7/40 (b) 57/40 (c) 1/13 (d) −7/40
  38. 38.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  39. 39.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  40. 40.Which is smaller: −2/9 or −1/3? (a) −2/9 (b) −1/3

Answer key

  1. −3/4
  2. −13/18
  3. 1/24
  4. 3/2
  5. 11/30
  6. 3/5
  7. −59/36
  8. 7/5
  9. −61/45
  10. −7/9
  11. Positive
  12. −5/28
  13. −5/6
  14. −2/3
  15. −1/5
  16. −3/8
  17. 0
  18. 7/2
  19. 7/8
  20. −1/5
  21. −1/6
  22. Negative
  23. −5/8
  24. 1/35
  25. 1/24
  26. −5/4
  27. −3/7
  28. −1/7
  29. −2/3
  30. −5/8
  31. Positive
  32. Positive
  33. −1/7
  34. −7/72
  35. −3/8
  36. −5/72
  37. −7/40
  38. 1/8
  39. 7
  40. −1/3

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