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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 296 · 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 8/9 − (−2/7)? (a) 5/8 (b) 74/63 (c) −74/63 (d) 38/63
  2. 2.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) −2/5 (c) −5/2 (d) 2/5
  3. 3.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  4. 4.Is −8/6 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−4/5) + 5/8? (a) 1/13 (b) −57/40 (c) 7/40 (d) −7/40
  6. 6.Which is smaller: −8/9 or −1/6? (a) −1/6 (b) −8/9
  7. 7.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  8. 8.What is 4/5 − (−4/7)? (a) −48/35 (b) 2/3 (c) 48/35 (d) 8/35
  9. 9.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  10. 10.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) −1/7 (c) −7/1 (d) 1/7
  11. 11.Which is bigger: −7/9 or −1/9? (a) −1/9 (b) −7/9
  12. 12.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  13. 13.Which is smaller: −5/9 or −1/2? (a) −5/9 (b) −1/2
  14. 14.Which is bigger: −3/4 or −1/3? (a) −1/3 (b) −3/4
  15. 15.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) 1/7 (c) −1/7 (d) −7/1
  16. 16.Which is bigger: −3/4 or 3/5? (a) −3/4 (b) 3/5
  17. 17.What is (−7/8) + 1/9? (a) 55/72 (b) −6/17 (c) −55/72 (d) −71/72
  18. 18.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  19. 19.What is (−3/7) − 4/5? (a) −7/12 (b) −43/35 (c) 13/35 (d) 43/35
  20. 20.Is −8/3 positive or negative? (a) Positive (b) Negative
  21. 21.Which is bigger: −3/5 or −8/9? (a) −3/5 (b) −8/9
  22. 22.What is (−3/8) − 2/5? (a) 31/40 (b) −5/13 (c) 1/40 (d) −31/40
  23. 23.What is 1/5 − (−5/8)? (a) −17/40 (b) 33/40 (c) 6/13 (d) −33/40
  24. 24.What is (−2/9) − 2/5? (a) 8/45 (b) −28/45 (c) −2/7 (d) 28/45
  25. 25.Is −2/8 positive or negative? (a) Positive (b) Negative
  26. 26.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  27. 27.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  28. 28.Which is smaller: −2/5 or 4/9? (a) −2/5 (b) 4/9
  29. 29.Which is smaller: −3/5 or −4/9? (a) −4/9 (b) −3/5
  30. 30.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  31. 31.Which is smaller: −2/3 or 3/5? (a) −2/3 (b) 3/5
  32. 32.Which is smaller: −4/9 or −4/7? (a) −4/7 (b) −4/9
  33. 33.What is (−8/9) − 1/6? (a) −13/18 (b) −19/18 (c) 19/18 (d) −3/5
  34. 34.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−4/9) + (−3/7)? (a) −55/63 (b) 55/63 (c) −7/16 (d) −1/63
  36. 36.Which is bigger: −3/7 or −8/9? (a) −8/9 (b) −3/7
  37. 37.Which is bigger: −4/5 or −7/9? (a) −7/9 (b) −4/5
  38. 38.What is (−3/4) + (−5/7)? (a) −41/28 (b) −8/11 (c) −1/28 (d) 41/28
  39. 39.What is 5/6 − (−3/5)? (a) 43/30 (b) 7/30 (c) 8/11 (d) −43/30
  40. 40.What is (−4/5) + 3/7? (a) −1/12 (b) −13/35 (c) −43/35 (d) 13/35

Answer key

  1. 74/63
  2. −2/5
  3. Negative
  4. Negative
  5. −7/40
  6. −8/9
  7. −7/6
  8. 48/35
  9. Positive
  10. −1/7
  11. −1/9
  12. 3/5
  13. −5/9
  14. −1/3
  15. −1/7
  16. 3/5
  17. −55/72
  18. −7/3
  19. −43/35
  20. Negative
  21. −3/5
  22. −31/40
  23. 33/40
  24. −28/45
  25. Negative
  26. 5
  27. −7/9
  28. −2/5
  29. −3/5
  30. 8/7
  31. −2/3
  32. −4/7
  33. −19/18
  34. Negative
  35. −55/63
  36. −3/7
  37. −7/9
  38. −41/28
  39. 43/30
  40. −13/35

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