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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 885 · 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.Which is smaller: −3/8 or 7/8? (a) −3/8 (b) 7/8
  2. 2.What is (−3/7) + (−5/9)? (a) −1/2 (b) 62/63 (c) 8/63 (d) −62/63
  3. 3.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −4/12
  4. 4.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  5. 5.What is (−7/8) − (−7/9)? (a) −119/72 (b) 0 (c) −7/72 (d) 7/72
  6. 6.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −2/6 (d) −1/3
  7. 7.Which is bigger: −3/5 or −8/9? (a) −8/9 (b) −3/5
  8. 8.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −14/18 (d) −7/9
  9. 9.What is (−2/3) + 5/6? (a) −1/6 (b) −3/2 (c) 1/6 (d) 1/3
  10. 10.What is (−7/9) − 5/9? (a) −2/9 (b) 4/3 (c) −4/3 (d) −2/3
  11. 11.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  12. 12.What is 2/3 − (−5/7)? (a) 7/10 (b) 29/21 (c) −29/21 (d) −1/21
  13. 13.What is (−3/4) − 3/4? (a) −3/4 (b) 3/2 (c) −3/2 (d) 0
  14. 14.What is the additive inverse of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  15. 15.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  16. 16.What is (−3/4) − 7/8? (a) 1/8 (b) 13/8 (c) −5/6 (d) −13/8
  17. 17.What is (−4/7) + 1/4? (a) −23/28 (b) −9/28 (c) −3/11 (d) 9/28
  18. 18.What is (−1/9) − 1/5? (a) −14/45 (b) 4/45 (c) 14/45 (d) −1/7
  19. 19.Is 8/3 positive or negative? (a) Positive (b) Negative
  20. 20.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −6/16
  21. 21.What is 1/3 + (−3/8)? (a) −1/24 (b) 1/24 (c) −2/11 (d) 17/24
  22. 22.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  23. 23.What is 3/4 + (−7/9)? (a) −1/36 (b) −4/13 (c) 55/36 (d) 1/36
  24. 24.What is the additive inverse of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  25. 25.Which is smaller: −1/2 or −6/7? (a) −1/2 (b) −6/7
  26. 26.Which is bigger: −1/7 or −3/5? (a) −3/5 (b) −1/7
  27. 27.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  28. 28.Which is bigger: −4/9 or −8/9? (a) −8/9 (b) −4/9
  29. 29.What is the additive inverse of 5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  30. 30.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  31. 31.What is (−2/9) − 8/9? (a) 2/3 (b) 10/9 (c) −10/9 (d) −5/9
  32. 32.What is (−2/9) + 5/9? (a) −7/9 (b) −1/3 (c) 1/3 (d) 1/6
  33. 33.What is (−6/7) + (−1/4)? (a) 31/28 (b) −7/11 (c) −31/28 (d) −17/28
  34. 34.Write −30/35 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −30/35 (d) −7/6
  35. 35.What is 3/4 − (−3/8)? (a) 1/2 (b) 3/8 (c) −9/8 (d) 9/8
  36. 36.What is (−8/9) − 1/3? (a) 11/9 (b) −3/4 (c) −5/9 (d) −11/9
  37. 37.What is (−6/7) + (−1/2)? (a) 19/14 (b) −7/9 (c) −5/14 (d) −19/14
  38. 38.Which is bigger: −2/5 or −1/2? (a) −1/2 (b) −2/5
  39. 39.Which is smaller: −1/9 or −4/5? (a) −4/5 (b) −1/9
  40. 40.Is 2/8 positive or negative? (a) Positive (b) Negative

Answer key

  1. −3/8
  2. −62/63
  3. −1/3
  4. 4/3
  5. −7/72
  6. −1/3
  7. −3/5
  8. −7/9
  9. 1/6
  10. −4/3
  11. −1/2
  12. 29/21
  13. −3/2
  14. 1/2
  15. 1/8
  16. −13/8
  17. −9/28
  18. −14/45
  19. Positive
  20. −3/8
  21. −1/24
  22. Negative
  23. −1/36
  24. −2/5
  25. −6/7
  26. −1/7
  27. −9/4
  28. −4/9
  29. −5/7
  30. −8/3
  31. −10/9
  32. 1/3
  33. −31/28
  34. −6/7
  35. 9/8
  36. −11/9
  37. −19/14
  38. −2/5
  39. −4/5
  40. Positive

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