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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 432 · 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 bigger: −5/7 or −3/7? (a) −5/7 (b) −3/7
  2. 2.What is (−4/7) − (−1/3)? (a) −19/21 (b) 5/21 (c) −5/21 (d) −3/10
  3. 3.Which is bigger: −7/8 or −6/7? (a) −7/8 (b) −6/7
  4. 4.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  6. 6.Is −8/6 positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  8. 8.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  9. 9.What is 4/9 − (−5/7)? (a) −17/63 (b) 73/63 (c) −73/63 (d) 9/16
  10. 10.What is (−2/7) − 1/5? (a) −1/4 (b) −3/35 (c) 17/35 (d) −17/35
  11. 11.What is the additive inverse of −2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  12. 12.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  13. 13.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −2/7 or −2/9? (a) −2/7 (b) −2/9
  15. 15.What is 1/5 − (−1/4)? (a) −1/20 (b) −9/20 (c) 2/9 (d) 9/20
  16. 16.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  18. 18.What is 8/9 − (−1/5)? (a) 9/14 (b) −49/45 (c) 49/45 (d) 31/45
  19. 19.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/7) − (−1/8)? (a) 1/56 (b) 0 (c) −15/56 (d) −1/56
  21. 21.What is 3/7 + (−5/7)? (a) −2/7 (b) −1/7 (c) 2/7 (d) 8/7
  22. 22.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  23. 23.What is (−4/9) − (−8/9)? (a) −4/3 (b) 4/9 (c) 2/9 (d) −4/9
  24. 24.What is the additive inverse of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  25. 25.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −15/25 (c) 3/5 (d) −3/5
  26. 26.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −5/7 (d) −7/5
  27. 27.What is 6/7 + (−7/8)? (a) 97/56 (b) −1/56 (c) 1/56 (d) −1/15
  28. 28.Is −3/3 positive or negative? (a) Negative (b) Positive
  29. 29.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  30. 30.What is 8/9 − (−4/9)? (a) 4/3 (b) −4/3 (c) 2/3 (d) 4/9
  31. 31.Write −48/54 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −48/54 (c) −9/8 (d) 8/9
  32. 32.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  33. 33.Which is smaller: −1/8 or −3/4? (a) −3/4 (b) −1/8
  34. 34.What is (−1/2) + (−1/3)? (a) −2/5 (b) −1/6 (c) −5/6 (d) 5/6
  35. 35.What is the additive inverse of −3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  36. 36.What is 3/8 + (−3/5)? (a) 0 (b) 39/40 (c) 9/40 (d) −9/40
  37. 37.What is (−1/4) − 1/2? (a) 3/4 (b) −1/3 (c) −3/4 (d) 1/4
  38. 38.Which is smaller: −5/9 or 1/5? (a) −5/9 (b) 1/5
  39. 39.Which is bigger: −3/5 or −4/5? (a) −4/5 (b) −3/5
  40. 40.Which is bigger: −5/6 or −1/6? (a) −5/6 (b) −1/6

Answer key

  1. −3/7
  2. −5/21
  3. −6/7
  4. Positive
  5. −1/6
  6. Negative
  7. 3/2
  8. 5
  9. 73/63
  10. −17/35
  11. 2/3
  12. −7/8
  13. Negative
  14. −2/9
  15. 9/20
  16. Positive
  17. Positive
  18. 49/45
  19. Positive
  20. −1/56
  21. −2/7
  22. 2/9
  23. 4/9
  24. 1/4
  25. −3/5
  26. −5/7
  27. −1/56
  28. Negative
  29. Positive
  30. 4/3
  31. −8/9
  32. 6/5
  33. −3/4
  34. −5/6
  35. 3/5
  36. −9/40
  37. −3/4
  38. −5/9
  39. −3/5
  40. −1/6

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