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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 470 · 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 −6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  2. 2.What is (−1/5) + 2/7? (a) 1/12 (b) 3/35 (c) −17/35 (d) −3/35
  3. 3.What is (−2/7) + 5/6? (a) 23/42 (b) −23/42 (c) 3/13 (d) −47/42
  4. 4.What is (−2/9) − (−6/7)? (a) 1/4 (b) 40/63 (c) −40/63 (d) −68/63
  5. 5.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  7. 7.What is 4/7 − (−1/6)? (a) 17/42 (b) 5/13 (c) 31/42 (d) −31/42
  8. 8.What is (−1/3) − 7/8? (a) −8/11 (b) −29/24 (c) 29/24 (d) 13/24
  9. 9.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −42/54 (d) −9/7
  10. 10.What is (−8/9) + 1/3? (a) 5/9 (b) −11/9 (c) −7/12 (d) −5/9
  11. 11.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −20/45 (c) −4/9 (d) −9/4
  12. 12.What is (−1/4) + 2/5? (a) 3/20 (b) 1/9 (c) −3/20 (d) −13/20
  13. 13.What is (−2/3) + (−1/5)? (a) −13/15 (b) 13/15 (c) −3/8 (d) −7/15
  14. 14.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  15. 15.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  16. 16.What is the additive inverse of 7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  17. 17.What is (−1/4) + 1/2? (a) −1/4 (b) 1/4 (c) −3/4 (d) 0
  18. 18.Which is bigger: −1/5 or −1/6? (a) −1/5 (b) −1/6
  19. 19.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  20. 20.What is (−1/5) − 2/9? (a) −3/14 (b) 1/45 (c) 19/45 (d) −19/45
  21. 21.Which is bigger: −8/9 or −2/9? (a) −2/9 (b) −8/9
  22. 22.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −18/21 (d) −6/7
  23. 23.Is −7/2 positive or negative? (a) Positive (b) Negative
  24. 24.Which is smaller: −1/8 or −1/5? (a) −1/8 (b) −1/5
  25. 25.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  27. 27.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −8/36 (b) 2/9 (c) −9/2 (d) −2/9
  28. 28.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  29. 29.Which is bigger: −2/5 or 5/7? (a) 5/7 (b) −2/5
  30. 30.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −10/12 (c) 5/6 (d) −6/5
  31. 31.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) −8/1 (c) 1/8 (d) −1/8
  32. 32.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  33. 33.What is (−4/5) − 4/9? (a) −16/45 (b) −4/7 (c) −56/45 (d) 56/45
  34. 34.What is (−1/3) + (−1/8)? (a) −11/24 (b) −5/24 (c) 11/24 (d) −2/11
  35. 35.What is (−3/7) + 5/9? (a) −62/63 (b) −8/63 (c) 1/8 (d) 8/63
  36. 36.What is (−2/3) + (−5/8)? (a) −1/24 (b) 31/24 (c) −7/11 (d) −31/24
  37. 37.What is the additive inverse of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  38. 38.Is 6/3 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−3/7) − (−1/3)? (a) −2/21 (b) −1/5 (c) −16/21 (d) 2/21
  40. 40.What is (−4/5) − 3/4? (a) −1/20 (b) −7/9 (c) −31/20 (d) 31/20

Answer key

  1. 6/7
  2. 3/35
  3. 23/42
  4. 40/63
  5. Positive
  6. 9/2
  7. 31/42
  8. −29/24
  9. −7/9
  10. −5/9
  11. −4/9
  12. 3/20
  13. −13/15
  14. −8/3
  15. 3/5
  16. −7/9
  17. 1/4
  18. −1/6
  19. 5/9
  20. −19/45
  21. −2/9
  22. −6/7
  23. Negative
  24. −1/5
  25. Negative
  26. −7/5
  27. −2/9
  28. 4/7
  29. 5/7
  30. −5/6
  31. −1/8
  32. 5/8
  33. −56/45
  34. −11/24
  35. 8/63
  36. −31/24
  37. 2/5
  38. Positive
  39. −2/21
  40. −31/20

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