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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 629 · 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 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  2. 2.Which is smaller: −1/5 or −4/9? (a) −1/5 (b) −4/9
  3. 3.Which is bigger: −1/8 or 2/5? (a) −1/8 (b) 2/5
  4. 4.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  5. 5.What is (−1/9) − 5/6? (a) −17/18 (b) −2/5 (c) 17/18 (d) 13/18
  6. 6.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  7. 7.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −20/28
  8. 8.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) 7/9 (c) −9/7 (d) −7/9
  9. 9.What is (−6/7) + 2/3? (a) 4/21 (b) −32/21 (c) −2/5 (d) −4/21
  10. 10.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) −2/9 (d) 2/9
  11. 11.What is the additive inverse of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  12. 12.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −14/18
  13. 13.What is 1/9 − (−2/5)? (a) 23/45 (b) −23/45 (c) 3/14 (d) −13/45
  14. 14.What is (−1/6) + (−2/5)? (a) −3/11 (b) −17/30 (c) 7/30 (d) 17/30
  15. 15.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −8/10 (d) −4/5
  16. 16.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−5/7) + (−6/7)? (a) −11/14 (b) 1/7 (c) −11/7 (d) 11/7
  18. 18.What is (−2/3) − (−6/7)? (a) −4/21 (b) 2/5 (c) −32/21 (d) 4/21
  19. 19.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  20. 20.What is 1/8 + (−1/6)? (a) 1/24 (b) 7/24 (c) 0 (d) −1/24
  21. 21.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−4/5) + 5/7? (a) 3/35 (b) −3/35 (c) 1/12 (d) −53/35
  23. 23.What is (−1/2) − (−2/9)? (a) 1/11 (b) −5/18 (c) 5/18 (d) −13/18
  24. 24.What is (−2/3) − (−1/7)? (a) 11/21 (b) −1/10 (c) −17/21 (d) −11/21
  25. 25.Which is smaller: −1/8 or −5/6? (a) −1/8 (b) −5/6
  26. 26.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) 6/7 (d) −6/7
  27. 27.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −3/18 (d) 1/6
  28. 28.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  29. 29.What is (−1/4) + (−2/5)? (a) 3/20 (b) −13/20 (c) −1/3 (d) 13/20
  30. 30.Which is bigger: −7/9 or 4/5? (a) −7/9 (b) 4/5
  31. 31.Which is bigger: −2/3 or −2/9? (a) −2/3 (b) −2/9
  32. 32.What is (−6/7) − 1/2? (a) −7/9 (b) −5/14 (c) −19/14 (d) 19/14
  33. 33.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  34. 34.What is 1/7 + (−3/5)? (a) 26/35 (b) −1/6 (c) −16/35 (d) 16/35
  35. 35.Is 8/5 positive or negative? (a) Positive (b) Negative
  36. 36.What is 1/7 + (−1/4)? (a) 11/28 (b) −3/28 (c) 0 (d) 3/28
  37. 37.Is −4/3 positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −3/7 or 5/7? (a) 5/7 (b) −3/7
  39. 39.Is 1/3 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −1/2 or 3/5? (a) 3/5 (b) −1/2

Answer key

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

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