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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 96 · 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: −4/5 or −1/2? (a) −1/2 (b) −4/5
  2. 2.What is (−7/9) − (−5/8)? (a) 11/72 (b) −11/72 (c) −2/17 (d) −101/72
  3. 3.What is (−3/4) − 7/8? (a) 1/8 (b) −5/6 (c) 13/8 (d) −13/8
  4. 4.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.What is 1/9 + (−3/5)? (a) −1/7 (b) 22/45 (c) 32/45 (d) −22/45
  6. 6.Which is smaller: −3/5 or −1/3? (a) −3/5 (b) −1/3
  7. 7.What is the additive inverse of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  8. 8.What is 4/7 + (−6/7)? (a) −1/7 (b) −2/7 (c) 10/7 (d) 2/7
  9. 9.What is (−1/2) − 1/9? (a) 11/18 (b) −11/18 (c) −7/18 (d) −2/11
  10. 10.What is (−7/9) − (−4/7)? (a) 13/63 (b) −85/63 (c) −13/63 (d) −3/16
  11. 11.What is (−8/9) + 7/8? (a) 1/72 (b) −127/72 (c) −1/72 (d) −1/17
  12. 12.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  13. 13.Which is smaller: −1/5 or −1/9? (a) −1/9 (b) −1/5
  14. 14.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) 4/7 (c) −4/7 (d) −7/4
  15. 15.What is (−3/8) − 1/7? (a) −13/56 (b) 29/56 (c) −4/15 (d) −29/56
  16. 16.Which is bigger: −5/6 or −3/4? (a) −3/4 (b) −5/6
  17. 17.Which is smaller: −5/9 or −3/8? (a) −5/9 (b) −3/8
  18. 18.Which is smaller: −2/5 or −6/7? (a) −2/5 (b) −6/7
  19. 19.What is (−2/5) − (−1/4)? (a) −1/9 (b) 3/20 (c) −3/20 (d) −13/20
  20. 20.Which is smaller: −8/9 or 1/6? (a) −8/9 (b) 1/6
  21. 21.What is (−2/3) − (−1/5)? (a) −1/8 (b) −7/15 (c) −13/15 (d) 7/15
  22. 22.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  23. 23.Which is smaller: −8/9 or 1/3? (a) −8/9 (b) 1/3
  24. 24.Which is smaller: −1/9 or 3/5? (a) 3/5 (b) −1/9
  25. 25.What is (−2/9) + 5/7? (a) −31/63 (b) 3/16 (c) 31/63 (d) −59/63
  26. 26.What is 3/8 + (−2/7)? (a) 5/56 (b) 37/56 (c) 1/15 (d) −5/56
  27. 27.Which is bigger: −8/9 or −5/6? (a) −8/9 (b) −5/6
  28. 28.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) −3/4 (d) 3/4
  29. 29.What is 8/9 − (−1/4)? (a) 23/36 (b) 9/13 (c) −41/36 (d) 41/36
  30. 30.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −18/42 (d) −3/7
  31. 31.Is 7/2 positive or negative? (a) Positive (b) Negative
  32. 32.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −30/42
  33. 33.Which is bigger: −5/9 or −1/5? (a) −5/9 (b) −1/5
  34. 34.What is (−1/6) − (−1/4)? (a) 0 (b) −1/12 (c) 1/12 (d) −5/12
  35. 35.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/3 or 5/7? (a) −1/3 (b) 5/7
  37. 37.Which is bigger: −1/8 or −5/8? (a) −1/8 (b) −5/8
  38. 38.What is (−3/7) − 5/7? (a) 8/7 (b) −8/7 (c) 2/7 (d) −4/7
  39. 39.What is 2/9 − (−2/9)? (a) −4/9 (b) 2/9 (c) 4/9 (d) 0
  40. 40.Is 8/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. −4/5
  2. −11/72
  3. −13/8
  4. Negative
  5. −22/45
  6. −3/5
  7. −1/3
  8. −2/7
  9. −11/18
  10. −13/63
  11. −1/72
  12. −9/2
  13. −1/5
  14. −4/7
  15. −29/56
  16. −3/4
  17. −5/9
  18. −6/7
  19. −3/20
  20. −8/9
  21. −7/15
  22. −1/2
  23. −8/9
  24. −1/9
  25. 31/63
  26. 5/56
  27. −5/6
  28. −3/4
  29. 41/36
  30. −3/7
  31. Positive
  32. −5/7
  33. −1/5
  34. 1/12
  35. Negative
  36. 5/7
  37. −1/8
  38. −8/7
  39. 4/9
  40. Positive

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