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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 202 · 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 −6/9 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−8/9) − (−5/7)? (a) −3/16 (b) −101/63 (c) 11/63 (d) −11/63
  3. 3.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −6/16 (d) −8/3
  4. 4.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −1/7 or −5/7? (a) −1/7 (b) −5/7
  6. 6.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −9/1 (d) −1/9
  7. 7.What is 5/9 + (−8/9)? (a) −1/3 (b) 13/9 (c) 1/3 (d) −1/6
  8. 8.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −3/12 (c) −1/4 (d) −4/1
  9. 9.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  10. 10.What is (−8/9) + 1/2? (a) 7/18 (b) −7/18 (c) −25/18 (d) −7/11
  11. 11.Is −1/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is 7/9 + (−1/3)? (a) −4/9 (b) 1/2 (c) 4/9 (d) 10/9
  13. 13.Which is smaller: −3/8 or −5/8? (a) −3/8 (b) −5/8
  14. 14.Which is bigger: −2/5 or −1/2? (a) −2/5 (b) −1/2
  15. 15.Which is smaller: −1/3 or −1/8? (a) −1/8 (b) −1/3
  16. 16.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  17. 17.What is (−1/7) − (−7/9)? (a) 3/8 (b) 40/63 (c) −58/63 (d) −40/63
  18. 18.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −20/28
  19. 19.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  20. 20.Write −8/28 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −8/28
  21. 21.What is (−3/5) + 4/5? (a) −1/5 (b) 1/5 (c) 1/10 (d) −7/5
  22. 22.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  23. 23.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) −24/42 (d) 4/7
  24. 24.What is (−1/6) + 4/7? (a) 3/13 (b) −31/42 (c) 17/42 (d) −17/42
  25. 25.What is 1/7 + (−3/5)? (a) 26/35 (b) −1/6 (c) 16/35 (d) −16/35
  26. 26.What is (−7/8) + (−8/9)? (a) 127/72 (b) −127/72 (c) 1/72 (d) −15/17
  27. 27.Which is smaller: −4/9 or 8/9? (a) 8/9 (b) −4/9
  28. 28.What is (−2/5) + (−1/4)? (a) −1/3 (b) −13/20 (c) −3/20 (d) 13/20
  29. 29.Is −6/3 positive or negative? (a) Negative (b) Positive
  30. 30.What is the additive inverse of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  31. 31.What is (−1/6) + (−7/9)? (a) 17/18 (b) 11/18 (c) −17/18 (d) −8/15
  32. 32.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  33. 33.Is 1/8 positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −3/8 or 1/2? (a) −3/8 (b) 1/2
  35. 35.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of −4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  37. 37.What is (−6/7) − (−1/5)? (a) −37/35 (b) −23/35 (c) −5/12 (d) 23/35
  38. 38.What is the additive inverse of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  39. 39.What is (−1/8) + (−1/3)? (a) 11/24 (b) 5/24 (c) −11/24 (d) −2/11
  40. 40.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5

Answer key

  1. Negative
  2. −11/63
  3. −3/8
  4. Negative
  5. −1/7
  6. −1/9
  7. −1/3
  8. −1/4
  9. −7/2
  10. −7/18
  11. Negative
  12. 4/9
  13. −5/8
  14. −2/5
  15. −1/3
  16. 7/8
  17. 40/63
  18. −5/7
  19. 5
  20. −2/7
  21. 1/5
  22. −5/8
  23. −4/7
  24. 17/42
  25. −16/35
  26. −127/72
  27. −4/9
  28. −13/20
  29. Negative
  30. 4/9
  31. −17/18
  32. −9/2
  33. Positive
  34. 1/2
  35. Negative
  36. 4/7
  37. −23/35
  38. −2/3
  39. −11/24
  40. −3/5

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