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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 246 · 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: −1/7 or −5/9? (a) −5/9 (b) −1/7
  2. 2.Which is bigger: −1/3 or −1/2? (a) −1/3 (b) −1/2
  3. 3.Which is bigger: −4/7 or −1/5? (a) −4/7 (b) −1/5
  4. 4.What is (−5/8) − 4/7? (a) 67/56 (b) −67/56 (c) −3/56 (d) −3/5
  5. 5.What is 7/9 + (−2/9)? (a) 1 (b) 5/9 (c) −5/9 (d) 5/18
  6. 6.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) 2/7 (d) −7/2
  7. 7.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  8. 8.What is (−5/6) + 7/9? (a) −29/18 (b) 1/18 (c) −1/18 (d) 2/15
  9. 9.What is (−1/2) + 2/9? (a) 5/18 (b) −13/18 (c) 1/11 (d) −5/18
  10. 10.Which is bigger: −1/5 or −3/8? (a) −3/8 (b) −1/5
  11. 11.What is (−3/5) + 2/3? (a) −19/15 (b) 1/15 (c) −1/8 (d) −1/15
  12. 12.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  13. 13.What is (−1/6) + 8/9? (a) −13/18 (b) −19/18 (c) 13/18 (d) 7/15
  14. 14.Is 3/6 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−4/5) − (−8/9)? (a) −4/45 (b) 4/45 (c) −76/45 (d) 2/7
  16. 16.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  17. 17.Which is bigger: −1/3 or 7/8? (a) −1/3 (b) 7/8
  18. 18.Which is bigger: −3/8 or 3/5? (a) 3/5 (b) −3/8
  19. 19.What is (−3/8) + 1/2? (a) −1/8 (b) −1/5 (c) 1/8 (d) −7/8
  20. 20.Which is bigger: −1/5 or 4/9? (a) −1/5 (b) 4/9
  21. 21.What is 1/2 + (−1/9)? (a) −7/18 (b) 11/18 (c) 7/18 (d) 0
  22. 22.Is 7/4 positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  24. 24.Is −6/(−4) positive or negative? (a) Negative (b) Positive
  25. 25.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  26. 26.Which is smaller: −1/8 or 1/2? (a) −1/8 (b) 1/2
  27. 27.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −30/54 (c) 5/9 (d) −5/9
  28. 28.What is 1/5 + (−1/7)? (a) 12/35 (b) 0 (c) 2/35 (d) −2/35
  29. 29.What is (−1/8) + 1/6? (a) 0 (b) −1/24 (c) 1/24 (d) −7/24
  30. 30.What is (−8/9) + (−1/4)? (a) −9/13 (b) −41/36 (c) −23/36 (d) 41/36
  31. 31.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  32. 32.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−8/9) − 5/6? (a) −1/18 (b) 31/18 (c) −13/15 (d) −31/18
  34. 34.What is (−1/4) + (−4/5)? (a) 21/20 (b) −21/20 (c) 11/20 (d) −5/9
  35. 35.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −30/48 (d) −8/5
  36. 36.What is 4/9 + (−2/3)? (a) 1/6 (b) 2/9 (c) 10/9 (d) −2/9
  37. 37.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −10/16 (c) 5/8 (d) −5/8
  38. 38.Which is bigger: −4/7 or −3/4? (a) −4/7 (b) −3/4
  39. 39.Is −2/8 positive or negative? (a) Negative (b) Positive
  40. 40.Is −5/(−7) positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/9
  2. −1/3
  3. −1/5
  4. −67/56
  5. 5/9
  6. −2/7
  7. −2/9
  8. −1/18
  9. −5/18
  10. −1/5
  11. 1/15
  12. −4
  13. 13/18
  14. Positive
  15. 4/45
  16. 5
  17. 7/8
  18. 3/5
  19. 1/8
  20. 4/9
  21. 7/18
  22. Positive
  23. −3
  24. Positive
  25. 5/3
  26. −1/8
  27. −5/9
  28. 2/35
  29. 1/24
  30. −41/36
  31. 9
  32. Positive
  33. −31/18
  34. −21/20
  35. −5/8
  36. −2/9
  37. −5/8
  38. −4/7
  39. Negative
  40. Positive

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