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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 176 · 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.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2
  2. 2.Which is smaller: −5/7 or −5/8? (a) −5/8 (b) −5/7
  3. 3.What is 1/9 + (−7/9)? (a) 2/3 (b) −1/3 (c) 8/9 (d) −2/3
  4. 4.What is the additive inverse of −5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  5. 5.What is (−2/5) + 2/3? (a) −16/15 (b) 4/15 (c) 0 (d) −4/15
  6. 6.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  7. 7.Is 6/4 positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −3/8 or −4/7? (a) −3/8 (b) −4/7
  9. 9.What is (−5/9) − 7/8? (a) 23/72 (b) 103/72 (c) −12/17 (d) −103/72
  10. 10.Is 9/6 positive or negative? (a) Negative (b) Positive
  11. 11.Is −3/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−5/9) − 2/7? (a) −17/63 (b) −7/16 (c) −53/63 (d) 53/63
  13. 13.Which is bigger: −7/9 or 3/4? (a) −7/9 (b) 3/4
  14. 14.What is (−8/9) − 1/7? (a) −65/63 (b) −47/63 (c) 65/63 (d) −9/16
  15. 15.What is 8/9 + (−5/8)? (a) 19/72 (b) 109/72 (c) −19/72 (d) 3/17
  16. 16.Which is bigger: −1/5 or −8/9? (a) −8/9 (b) −1/5
  17. 17.Which is bigger: −1/2 or 7/8? (a) 7/8 (b) −1/2
  18. 18.What is (−3/8) + 1/5? (a) 7/40 (b) −7/40 (c) −2/13 (d) −23/40
  19. 19.Which is smaller: −3/7 or 2/7? (a) −3/7 (b) 2/7
  20. 20.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) −4/5 (d) 4/5
  21. 21.What is the additive inverse of −8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  22. 22.Which is bigger: −7/9 or 1/2? (a) −7/9 (b) 1/2
  23. 23.What is (−1/8) − (−1/8)? (a) −1/4 (b) 0
  24. 24.Which is bigger: −8/9 or −1/4? (a) −1/4 (b) −8/9
  25. 25.Is 5/4 positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −5/9 or −1/5? (a) −5/9 (b) −1/5
  27. 27.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −12/18 (d) 2/3
  28. 28.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  29. 29.What is (−3/7) + (−7/8)? (a) 73/56 (b) 25/56 (c) −2/3 (d) −73/56
  30. 30.Which is bigger: −7/9 or −6/7? (a) −7/9 (b) −6/7
  31. 31.What is (−1/8) + 2/3? (a) −13/24 (b) 1/11 (c) 13/24 (d) −19/24
  32. 32.What is (−1/4) − 1/6? (a) −5/12 (b) −1/12 (c) 5/12 (d) −1/5
  33. 33.What is the additive inverse of 4/5? (a) −4/5 (b) −5/4 (c) 5/4 (d) 4/5
  34. 34.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  36. 36.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  37. 37.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.What is 2/3 + (−4/7)? (a) −1/5 (b) 2/21 (c) −2/21 (d) 26/21
  39. 39.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  40. 40.What is (−6/7) + (−7/8)? (a) 1/56 (b) −97/56 (c) −13/15 (d) 97/56

Answer key

  1. −2/9
  2. −5/7
  3. −2/3
  4. 5/7
  5. 4/15
  6. −8/3
  7. Positive
  8. −3/8
  9. −103/72
  10. Positive
  11. Negative
  12. −53/63
  13. 3/4
  14. −65/63
  15. 19/72
  16. −1/5
  17. 7/8
  18. −7/40
  19. −3/7
  20. −4/5
  21. 8/9
  22. 1/2
  23. 0
  24. −1/4
  25. Positive
  26. −1/5
  27. −2/3
  28. −1/3
  29. −73/56
  30. −7/9
  31. 13/24
  32. −5/12
  33. −4/5
  34. Negative
  35. −2/3
  36. −2
  37. Positive
  38. 2/21
  39. −8
  40. −97/56

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