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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 41 · 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 (−1/2) + (−7/8)? (a) −11/8 (b) 3/8 (c) −4/5 (d) 11/8
  2. 2.Is −3/6 positive or negative? (a) Negative (b) Positive
  3. 3.What is 2/3 + (−1/2)? (a) 7/6 (b) 1/5 (c) 1/6 (d) −1/6
  4. 4.Which is smaller: −6/7 or −4/9? (a) −6/7 (b) −4/9
  5. 5.Is 6/4 positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  7. 7.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/3) + (−1/3)? (a) −1/3 (b) −2/3 (c) 2/3 (d) 0
  9. 9.Which is smaller: −1/6 or 2/7? (a) −1/6 (b) 2/7
  10. 10.Which is smaller: −4/9 or 5/8? (a) −4/9 (b) 5/8
  11. 11.Is 1/4 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−5/9) + (−8/9)? (a) −13/18 (b) −13/9 (c) 13/9 (d) 1/3
  13. 13.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  15. 15.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7
  16. 16.What is (−4/7) − 2/3? (a) 26/21 (b) −3/5 (c) −26/21 (d) 2/21
  17. 17.What is 4/9 + (−2/3)? (a) 10/9 (b) 2/9 (c) −2/9 (d) 1/6
  18. 18.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) 2/5 (d) −5/2
  19. 19.What is the additive inverse of −5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  20. 20.What is (−5/9) + (−4/5)? (a) −9/14 (b) 11/45 (c) 61/45 (d) −61/45
  21. 21.Is 8/5 positive or negative? (a) Positive (b) Negative
  22. 22.Is 2/7 positive or negative? (a) Negative (b) Positive
  23. 23.What is (−1/4) − (−4/9)? (a) −7/36 (b) −25/36 (c) 3/13 (d) 7/36
  24. 24.What is 2/5 + (−3/7)? (a) −1/35 (b) 29/35 (c) −1/12 (d) 1/35
  25. 25.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −5/15 (d) 1/3
  26. 26.What is (−1/3) + 4/7? (a) 5/21 (b) −5/21 (c) −19/21 (d) 3/10
  27. 27.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  28. 28.What is (−1/7) + 1/4? (a) −11/28 (b) 0 (c) −3/28 (d) 3/28
  29. 29.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −6/12 (c) −2/1 (d) 1/2
  30. 30.What is 4/5 − (−2/3)? (a) 3/4 (b) 2/15 (c) −22/15 (d) 22/15
  31. 31.Which is bigger: −6/7 or −1/7? (a) −1/7 (b) −6/7
  32. 32.Which is smaller: −5/8 or −3/8? (a) −3/8 (b) −5/8
  33. 33.What is (−7/8) + 1/4? (a) −5/8 (b) 5/8 (c) −1/2 (d) −9/8
  34. 34.Which is smaller: −4/7 or −1/8? (a) −1/8 (b) −4/7
  35. 35.What is (−1/9) − 2/5? (a) 23/45 (b) 13/45 (c) −3/14 (d) −23/45
  36. 36.What is (−7/9) − 3/5? (a) −5/7 (b) 62/45 (c) −8/45 (d) −62/45
  37. 37.What is (−1/7) + 1/9? (a) 0 (b) −16/63 (c) −2/63 (d) 2/63
  38. 38.Which is bigger: −3/4 or −5/7? (a) −3/4 (b) −5/7
  39. 39.What is 3/5 − (−3/5)? (a) −6/5 (b) 0 (c) 3/5 (d) 6/5
  40. 40.What is (−5/7) + (−4/9)? (a) −17/63 (b) −9/16 (c) −73/63 (d) 73/63

Answer key

  1. −11/8
  2. Negative
  3. 1/6
  4. −6/7
  5. Positive
  6. −8/7
  7. Negative
  8. −2/3
  9. −1/6
  10. −4/9
  11. Positive
  12. −13/9
  13. Negative
  14. −2/9
  15. −2/7
  16. −26/21
  17. −2/9
  18. −2/5
  19. 5/6
  20. −61/45
  21. Positive
  22. Positive
  23. 7/36
  24. −1/35
  25. −1/3
  26. 5/21
  27. −4/5
  28. 3/28
  29. −1/2
  30. 22/15
  31. −1/7
  32. −5/8
  33. −5/8
  34. −4/7
  35. −23/45
  36. −62/45
  37. −2/63
  38. −5/7
  39. 6/5
  40. −73/63

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