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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 191 · 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 (−4/9) + (−3/8)? (a) 59/72 (b) −59/72 (c) −7/17 (d) −5/72
  2. 2.Is −4/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−5/7) − (−2/3)? (a) −29/21 (b) −1/21 (c) 1/21 (d) −3/10
  4. 4.What is (−1/9) + 1/5? (a) −4/45 (b) −14/45 (c) 4/45 (d) 0
  5. 5.What is 5/9 − (−7/9)? (a) −2/9 (b) 2/3 (c) 4/3 (d) −4/3
  6. 6.What is 1/4 + (−7/9)? (a) −6/13 (b) −19/36 (c) 19/36 (d) 37/36
  7. 7.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  8. 8.What is (−2/3) + (−5/6)? (a) −7/9 (b) 3/2 (c) 1/6 (d) −3/2
  9. 9.What is (−2/3) − (−1/5)? (a) −13/15 (b) −7/15 (c) −1/8 (d) 7/15
  10. 10.Is −2/7 positive or negative? (a) Positive (b) Negative
  11. 11.What is 2/9 − (−2/5)? (a) −8/45 (b) 28/45 (c) 2/7 (d) −28/45
  12. 12.Is 1/4 positive or negative? (a) Negative (b) Positive
  13. 13.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −16/18 (b) −9/8 (c) 8/9 (d) −8/9
  14. 14.What is the additive inverse of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  15. 15.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  16. 16.What is (−7/9) − 2/5? (a) −17/45 (b) 53/45 (c) −9/14 (d) −53/45
  17. 17.What is 1/5 − (−2/9)? (a) −19/45 (b) 19/45 (c) −1/45 (d) 3/14
  18. 18.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  19. 19.Which is smaller: −5/7 or −4/9? (a) −5/7 (b) −4/9
  20. 20.What is (−3/4) − (−6/7)? (a) −45/28 (b) 3/11 (c) 3/28 (d) −3/28
  21. 21.What is (−5/7) + (−1/6)? (a) 37/42 (b) −23/42 (c) −6/13 (d) −37/42
  22. 22.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  23. 23.What is 1/8 + (−2/7)? (a) 9/56 (b) −1/15 (c) 23/56 (d) −9/56
  24. 24.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) 1/8 (d) −8/1
  25. 25.What is the additive inverse of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  26. 26.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −6/36
  27. 27.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  28. 28.Which is smaller: −1/2 or −3/4? (a) −3/4 (b) −1/2
  29. 29.Is 2/5 positive or negative? (a) Positive (b) Negative
  30. 30.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −2/12 (c) 1/6 (d) −6/1
  31. 31.Which is smaller: −4/5 or −4/7? (a) −4/5 (b) −4/7
  32. 32.What is 1/7 + (−3/5)? (a) −16/35 (b) 16/35 (c) −1/6 (d) 26/35
  33. 33.Is 8/4 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/5) − 1/9? (a) 23/45 (b) −3/14 (c) −13/45 (d) −23/45
  35. 35.What is 2/9 − (−1/6)? (a) 1/5 (b) −7/18 (c) 7/18 (d) 1/18
  36. 36.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  37. 37.What is the additive inverse of 2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  38. 38.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −4/8 (c) −2/1 (d) 1/2
  39. 39.What is 2/9 + (−1/9)? (a) 1/18 (b) 1/3 (c) −1/9 (d) 1/9
  40. 40.What is the additive inverse of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4

Answer key

  1. −59/72
  2. Negative
  3. −1/21
  4. 4/45
  5. 4/3
  6. −19/36
  7. −1/5
  8. −3/2
  9. −7/15
  10. Negative
  11. 28/45
  12. Positive
  13. −8/9
  14. −3/4
  15. 8
  16. −53/45
  17. 19/45
  18. Negative
  19. −5/7
  20. 3/28
  21. −37/42
  22. Negative
  23. −9/56
  24. −1/8
  25. −7/9
  26. −1/6
  27. 1/6
  28. −3/4
  29. Positive
  30. −1/6
  31. −4/5
  32. −16/35
  33. Positive
  34. −23/45
  35. 7/18
  36. 5/3
  37. −2/9
  38. −1/2
  39. 1/9
  40. 4/5

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