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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 666 · 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 7/9 − (−2/3)? (a) 1/9 (b) 13/9 (c) 3/4 (d) −13/9
  2. 2.Is −9/3 positive or negative? (a) Negative (b) Positive
  3. 3.Which is smaller: −5/7 or −1/8? (a) −1/8 (b) −5/7
  4. 4.What is (−2/3) + (−3/7)? (a) −5/21 (b) 23/21 (c) −1/2 (d) −23/21
  5. 5.Which is bigger: −4/9 or −3/8? (a) −4/9 (b) −3/8
  6. 6.What is 3/5 − (−1/4)? (a) 7/20 (b) −17/20 (c) 17/20 (d) 4/9
  7. 7.What is (−1/3) + (−1/9)? (a) −2/9 (b) −4/9 (c) 4/9 (d) −1/6
  8. 8.What is 1/5 − (−5/6)? (a) −31/30 (b) −19/30 (c) 6/11 (d) 31/30
  9. 9.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) −5/4 (c) −4/5 (d) 4/5
  10. 10.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −3/12 (d) −1/4
  11. 11.What is the additive inverse of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  12. 12.What is (−3/5) − 1/7? (a) −26/35 (b) −1/3 (c) 26/35 (d) −16/35
  13. 13.What is (−1/6) − 1/8? (a) −1/7 (b) −1/24 (c) −7/24 (d) 7/24
  14. 14.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  15. 15.Which is bigger: −1/6 or −1/7? (a) −1/6 (b) −1/7
  16. 16.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−3/8) − 2/9? (a) 43/72 (b) −11/72 (c) −5/17 (d) −43/72
  18. 18.Which is smaller: −2/3 or −3/8? (a) −3/8 (b) −2/3
  19. 19.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  20. 20.Which is bigger: −4/7 or −1/4? (a) −4/7 (b) −1/4
  21. 21.Is 1/6 positive or negative? (a) Negative (b) Positive
  22. 22.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) 2/5 (c) −5/2 (d) −2/5
  23. 23.What is (−7/9) + (−2/3)? (a) −3/4 (b) −1/9 (c) 13/9 (d) −13/9
  24. 24.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  25. 25.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−5/7) + 7/9? (a) 1/8 (b) 4/63 (c) −94/63 (d) −4/63
  27. 27.Is −7/4 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−2/3) − (−7/9)? (a) −1/9 (b) −13/9 (c) 5/12 (d) 1/9
  29. 29.What is (−2/5) + (−5/9)? (a) 43/45 (b) 7/45 (c) −1/2 (d) −43/45
  30. 30.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  31. 31.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  32. 32.Which is smaller: −1/9 or 2/5? (a) −1/9 (b) 2/5
  33. 33.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−1/5) − 5/6? (a) −31/30 (b) 31/30 (c) 19/30 (d) −6/11
  35. 35.What is (−1/9) − 4/5? (a) 41/45 (b) −5/14 (c) 31/45 (d) −41/45
  36. 36.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  37. 37.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  38. 38.Which is bigger: −7/8 or 1/7? (a) 1/7 (b) −7/8
  39. 39.What is (−5/8) + (−3/5)? (a) −8/13 (b) −1/40 (c) 49/40 (d) −49/40
  40. 40.Which is smaller: −1/9 or 7/8? (a) −1/9 (b) 7/8

Answer key

  1. 13/9
  2. Negative
  3. −5/7
  4. −23/21
  5. −3/8
  6. 17/20
  7. −4/9
  8. 31/30
  9. −4/5
  10. −1/4
  11. 4/9
  12. −26/35
  13. −7/24
  14. −4
  15. −1/7
  16. Negative
  17. −43/72
  18. −2/3
  19. 9
  20. −1/4
  21. Positive
  22. −2/5
  23. −13/9
  24. Positive
  25. Negative
  26. 4/63
  27. Negative
  28. 1/9
  29. −43/45
  30. −2/7
  31. −8/7
  32. −1/9
  33. Negative
  34. −31/30
  35. −41/45
  36. −4/5
  37. 3/4
  38. 1/7
  39. −49/40
  40. −1/9

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