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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 416 · 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.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  2. 2.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −4/6 (d) 2/3
  3. 3.What is (−1/2) + (−5/7)? (a) 3/14 (b) −2/3 (c) −17/14 (d) 17/14
  4. 4.Which is bigger: −1/7 or −5/7? (a) −5/7 (b) −1/7
  5. 5.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  6. 6.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −8/12 (c) 2/3 (d) −2/3
  7. 7.What is (−1/6) + (−2/5)? (a) 7/30 (b) 17/30 (c) −17/30 (d) −3/11
  8. 8.What is the additive inverse of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  9. 9.Is −1/4 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−5/6) − 6/7? (a) −11/13 (b) 1/42 (c) 71/42 (d) −71/42
  11. 11.What is (−4/7) + 3/7? (a) −1 (b) −1/14 (c) −1/7 (d) 1/7
  12. 12.Which is smaller: −1/4 or −4/5? (a) −1/4 (b) −4/5
  13. 13.What is (−5/9) − (−4/5)? (a) −61/45 (b) −1/14 (c) 11/45 (d) −11/45
  14. 14.What is 5/6 − (−4/5)? (a) 49/30 (b) 9/11 (c) −49/30 (d) 1/30
  15. 15.What is (−1/6) + (−1/8)? (a) 7/24 (b) −7/24 (c) −1/7 (d) −1/24
  16. 16.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  17. 17.Which is bigger: −7/8 or −1/4? (a) −1/4 (b) −7/8
  18. 18.Which is smaller: −1/6 or −6/7? (a) −6/7 (b) −1/6
  19. 19.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  20. 20.What is (−8/9) + 1/2? (a) −7/18 (b) −25/18 (c) 7/18 (d) −7/11
  21. 21.Which is bigger: −4/7 or 6/7? (a) 6/7 (b) −4/7
  22. 22.What is (−1/6) + 1/4? (a) −1/12 (b) −5/12 (c) 0 (d) 1/12
  23. 23.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  24. 24.Which is smaller: −3/7 or 5/6? (a) −3/7 (b) 5/6
  25. 25.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −8/9 (c) −9/8 (d) 8/9
  26. 26.Which is smaller: −1/7 or −5/6? (a) −1/7 (b) −5/6
  27. 27.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  28. 28.What is (−6/7) + 1/5? (a) −23/35 (b) 23/35 (c) −37/35 (d) −5/12
  29. 29.Which is bigger: −2/3 or 1/3? (a) −2/3 (b) 1/3
  30. 30.Write −12/42 in standard form (lowest terms, positive denominator). (a) −12/42 (b) 2/7 (c) −7/2 (d) −2/7
  31. 31.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  32. 32.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  33. 33.Which is smaller: −2/5 or −5/7? (a) −2/5 (b) −5/7
  34. 34.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −20/24 (d) 5/6
  35. 35.What is (−3/7) − 1/8? (a) 31/56 (b) −4/15 (c) −17/56 (d) −31/56
  36. 36.What is (−5/7) − 1/2? (a) 17/14 (b) −17/14 (c) −3/14 (d) −2/3
  37. 37.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  38. 38.What is (−2/5) − 2/5? (a) 0 (b) 4/5 (c) −4/5 (d) −2/5
  39. 39.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  40. 40.Which is smaller: −1/7 or −5/9? (a) −1/7 (b) −5/9

Answer key

  1. Negative
  2. −2/3
  3. −17/14
  4. −1/7
  5. −5/7
  6. −2/3
  7. −17/30
  8. 1/8
  9. Negative
  10. −71/42
  11. −1/7
  12. −4/5
  13. 11/45
  14. 49/30
  15. −7/24
  16. −2/5
  17. −1/4
  18. −6/7
  19. −9/2
  20. −7/18
  21. 6/7
  22. 1/12
  23. 3/4
  24. −3/7
  25. −8/9
  26. −5/6
  27. 2
  28. −23/35
  29. 1/3
  30. −2/7
  31. −9/7
  32. 5/7
  33. −5/7
  34. −5/6
  35. −31/56
  36. −17/14
  37. Negative
  38. −4/5
  39. −9/5
  40. −5/9

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