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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 713 · 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 (−2/5) − 4/7? (a) −1/2 (b) −34/35 (c) 6/35 (d) 34/35
  2. 2.What is (−4/5) + (−5/7)? (a) −53/35 (b) −3/4 (c) 53/35 (d) −3/35
  3. 3.Which is bigger: −1/4 or −3/5? (a) −3/5 (b) −1/4
  4. 4.What is (−3/5) + 5/7? (a) 1/6 (b) −4/35 (c) 4/35 (d) −46/35
  5. 5.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  6. 6.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −15/27 (d) −5/9
  7. 7.What is (−1/8) + 2/9? (a) −25/72 (b) −7/72 (c) 1/17 (d) 7/72
  8. 8.Which is bigger: −1/9 or 3/8? (a) −1/9 (b) 3/8
  9. 9.What is the additive inverse of 1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  10. 10.What is the additive inverse of 1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  11. 11.What is (−7/9) − (−2/5)? (a) 17/45 (b) −5/14 (c) −17/45 (d) −53/45
  12. 12.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −3/12 (d) −4/1
  13. 13.What is (−7/8) + (−7/9)? (a) −14/17 (b) −119/72 (c) −7/72 (d) 119/72
  14. 14.Which is bigger: −5/7 or 7/8? (a) −5/7 (b) 7/8
  15. 15.What is (−4/9) + 8/9? (a) −4/9 (b) 2/9 (c) 4/9 (d) −4/3
  16. 16.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  17. 17.Is 3/3 positive or negative? (a) Positive (b) Negative
  18. 18.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −15/20
  19. 19.What is 3/7 − (−3/5)? (a) −36/35 (b) 1/2 (c) 36/35 (d) −6/35
  20. 20.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) 2/5 (c) −2/5 (d) −5/2
  21. 21.Is −2/5 positive or negative? (a) Positive (b) Negative
  22. 22.What is 2/5 − (−1/3)? (a) 1/15 (b) 3/8 (c) −11/15 (d) 11/15
  23. 23.What is (−8/9) − 1/2? (a) −7/18 (b) −9/11 (c) 25/18 (d) −25/18
  24. 24.What is (−4/9) − (−1/3)? (a) −7/9 (b) −1/4 (c) 1/9 (d) −1/9
  25. 25.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  26. 26.What is (−2/5) + (−4/7)? (a) −34/35 (b) 6/35 (c) 34/35 (d) −1/2
  27. 27.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −15/35
  28. 28.What is (−1/3) + 2/7? (a) 1/10 (b) −1/21 (c) 1/21 (d) −13/21
  29. 29.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  30. 30.Which is smaller: −2/3 or −1/4? (a) −1/4 (b) −2/3
  31. 31.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  32. 32.Which is smaller: −1/2 or 3/4? (a) −1/2 (b) 3/4
  33. 33.Which is smaller: −3/8 or −5/9? (a) −5/9 (b) −3/8
  34. 34.Is 5/2 positive or negative? (a) Negative (b) Positive
  35. 35.What is 2/3 + (−3/7)? (a) 23/21 (b) 5/21 (c) −1/10 (d) −5/21
  36. 36.What is (−2/3) + 3/4? (a) 1/7 (b) 1/12 (c) −17/12 (d) −1/12
  37. 37.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  38. 38.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  40. 40.What is (−1/3) − (−3/7)? (a) −16/21 (b) 2/21 (c) 1/5 (d) −2/21

Answer key

  1. −34/35
  2. −53/35
  3. −1/4
  4. 4/35
  5. 1/4
  6. −5/9
  7. 7/72
  8. 3/8
  9. −1/2
  10. −1/3
  11. −17/45
  12. −1/4
  13. −119/72
  14. 7/8
  15. 4/9
  16. −1/7
  17. Positive
  18. −3/4
  19. 36/35
  20. −2/5
  21. Negative
  22. 11/15
  23. −25/18
  24. −1/9
  25. −4/5
  26. −34/35
  27. −3/7
  28. −1/21
  29. 6/5
  30. −2/3
  31. −9/4
  32. −1/2
  33. −5/9
  34. Positive
  35. 5/21
  36. 1/12
  37. 1/2
  38. Positive
  39. 7/6
  40. 2/21

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