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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 104 · 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 (−2/3) + (−2/5)? (a) −4/15 (b) 16/15 (c) −16/15 (d) −1/2
  2. 2.What is 3/4 + (−1/8)? (a) −5/8 (b) 7/8 (c) 5/8 (d) 1/6
  3. 3.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  4. 4.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −3/5 or 1/8? (a) −3/5 (b) 1/8
  6. 6.Which is smaller: −2/3 or 1/2? (a) −2/3 (b) 1/2
  7. 7.Which is smaller: −7/8 or 3/4? (a) 3/4 (b) −7/8
  8. 8.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −2/5 or −2/3? (a) −2/5 (b) −2/3
  10. 10.Which is smaller: −2/7 or 8/9? (a) 8/9 (b) −2/7
  11. 11.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  12. 12.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  13. 13.What is (−5/9) + 5/7? (a) −10/63 (b) 0 (c) −80/63 (d) 10/63
  14. 14.Which is bigger: −1/9 or −7/9? (a) −7/9 (b) −1/9
  15. 15.What is 4/9 + (−7/9)? (a) −1/3 (b) −1/6 (c) 1/3 (d) 11/9
  16. 16.What is (−2/9) − 5/6? (a) 11/18 (b) −7/15 (c) 19/18 (d) −19/18
  17. 17.Which is bigger: −7/8 or −1/8? (a) −7/8 (b) −1/8
  18. 18.Which is bigger: −1/8 or −5/6? (a) −5/6 (b) −1/8
  19. 19.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  20. 20.What is (−3/8) − 6/7? (a) −69/56 (b) 69/56 (c) −3/5 (d) 27/56
  21. 21.Is 7/2 positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of −4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  23. 23.Which is bigger: −1/5 or 3/4? (a) 3/4 (b) −1/5
  24. 24.What is (−1/8) − 1/3? (a) 11/24 (b) 5/24 (c) −2/11 (d) −11/24
  25. 25.What is 4/7 − (−1/2)? (a) −15/14 (b) 1/14 (c) 15/14 (d) 5/9
  26. 26.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −15/18 (c) 5/6 (d) −6/5
  27. 27.Is 4/2 positive or negative? (a) Negative (b) Positive
  28. 28.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) 2/7 (d) −2/7
  29. 29.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −5/45
  30. 30.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  31. 31.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 2/7 (d) 7/2
  32. 32.Which is smaller: −1/5 or −2/3? (a) −2/3 (b) −1/5
  33. 33.What is the additive inverse of 1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  34. 34.Which is smaller: −1/3 or 5/8? (a) −1/3 (b) 5/8
  35. 35.Which is bigger: −5/7 or −3/8? (a) −3/8 (b) −5/7
  36. 36.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  37. 37.What is (−3/4) + (−1/7)? (a) −17/28 (b) −4/11 (c) −25/28 (d) 25/28
  38. 38.What is (−5/7) − 1/3? (a) −3/5 (b) −22/21 (c) −8/21 (d) 22/21
  39. 39.Which is smaller: −5/6 or −3/4? (a) −3/4 (b) −5/6
  40. 40.What is (−5/8) − 7/9? (a) 101/72 (b) 11/72 (c) −12/17 (d) −101/72

Answer key

  1. −16/15
  2. 5/8
  3. −5/9
  4. Positive
  5. −3/5
  6. −2/3
  7. −7/8
  8. Positive
  9. −2/3
  10. −2/7
  11. −3/4
  12. −6
  13. 10/63
  14. −1/9
  15. −1/3
  16. −19/18
  17. −1/8
  18. −1/8
  19. −8/5
  20. −69/56
  21. Positive
  22. 4/7
  23. 3/4
  24. −11/24
  25. 15/14
  26. −5/6
  27. Positive
  28. −2/7
  29. −1/9
  30. 6
  31. −7/2
  32. −2/3
  33. −1/6
  34. −1/3
  35. −3/8
  36. −5/3
  37. −25/28
  38. −22/21
  39. −5/6
  40. −101/72

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