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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 627 · 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 −4/(−6) positive or negative? (a) Negative (b) Positive
  2. 2.What is 2/7 + (−3/7)? (a) −1/14 (b) 1/7 (c) 5/7 (d) −1/7
  3. 3.Which is bigger: −2/7 or −1/3? (a) −2/7 (b) −1/3
  4. 4.What is (−1/6) − (−3/5)? (a) 13/30 (b) −23/30 (c) −13/30 (d) 2/11
  5. 5.What is (−1/2) + (−4/5)? (a) −13/10 (b) −5/7 (c) 3/10 (d) 13/10
  6. 6.What is 3/4 − (−7/8)? (a) 5/6 (b) −13/8 (c) −1/8 (d) 13/8
  7. 7.What is 2/9 + (−3/5)? (a) −1/14 (b) 37/45 (c) 17/45 (d) −17/45
  8. 8.Which is bigger: −2/3 or 3/4? (a) −2/3 (b) 3/4
  9. 9.Is −2/9 positive or negative? (a) Positive (b) Negative
  10. 10.Is 6/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  12. 12.Is −1/7 positive or negative? (a) Negative (b) Positive
  13. 13.Is 8/2 positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −5/9 or −4/9? (a) −4/9 (b) −5/9
  15. 15.What is 2/7 − (−5/8)? (a) 51/56 (b) −19/56 (c) −51/56 (d) 7/15
  16. 16.Which is smaller: −1/4 or −1/8? (a) −1/4 (b) −1/8
  17. 17.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) 1/4 (c) −1/4 (d) −4/1
  18. 18.What is (−5/8) + (−1/6)? (a) −11/24 (b) −19/24 (c) 19/24 (d) −3/7
  19. 19.Is −8/7 positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  21. 21.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  22. 22.Which is bigger: −2/9 or −8/9? (a) −2/9 (b) −8/9
  23. 23.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  24. 24.What is (−2/9) + 7/8? (a) −79/72 (b) 5/17 (c) 47/72 (d) −47/72
  25. 25.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  26. 26.Which is bigger: −7/8 or −4/9? (a) −7/8 (b) −4/9
  27. 27.Is 7/5 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/7) + 1/8? (a) −15/56 (b) −1/56 (c) 1/56 (d) 0
  29. 29.Is −3/4 positive or negative? (a) Positive (b) Negative
  30. 30.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −30/42
  31. 31.What is (−3/8) − 4/7? (a) −7/15 (b) 11/56 (c) 53/56 (d) −53/56
  32. 32.What is (−1/5) − (−4/7)? (a) −27/35 (b) 13/35 (c) 1/4 (d) −13/35
  33. 33.What is (−1/9) + 6/7? (a) 5/16 (b) 47/63 (c) −47/63 (d) −61/63
  34. 34.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) −7/4 (d) 4/7
  35. 35.Is −7/3 positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −1/7 or −5/7? (a) −1/7 (b) −5/7
  37. 37.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −2/18 (c) −9/1 (d) 1/9
  38. 38.What is (−4/5) + (−1/8)? (a) −27/40 (b) −5/13 (c) −37/40 (d) 37/40
  39. 39.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5
  40. 40.Which is bigger: −1/9 or 1/7? (a) −1/9 (b) 1/7

Answer key

  1. Positive
  2. −1/7
  3. −2/7
  4. 13/30
  5. −13/10
  6. 13/8
  7. −17/45
  8. 3/4
  9. Negative
  10. Positive
  11. 3/4
  12. Negative
  13. Positive
  14. −5/9
  15. 51/56
  16. −1/4
  17. −1/4
  18. −19/24
  19. Negative
  20. −2/7
  21. −2/3
  22. −2/9
  23. 7
  24. 47/72
  25. −7/8
  26. −4/9
  27. Positive
  28. −1/56
  29. Negative
  30. −5/7
  31. −53/56
  32. 13/35
  33. 47/63
  34. −4/7
  35. Negative
  36. −1/7
  37. −1/9
  38. −37/40
  39. −9/5
  40. 1/7

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