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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 550 · 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 (−5/9) + 1/2? (a) −19/18 (b) −1/18 (c) −4/11 (d) 1/18
  2. 2.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −9/12
  3. 3.Which is bigger: −4/9 or −1/7? (a) −1/7 (b) −4/9
  4. 4.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −1/4 or −7/8? (a) −1/4 (b) −7/8
  6. 6.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  7. 7.What is (−3/4) + (−1/2)? (a) 5/4 (b) −1/4 (c) −2/3 (d) −5/4
  8. 8.What is (−6/7) − 2/9? (a) 68/63 (b) −68/63 (c) −40/63 (d) −1/2
  9. 9.What is (−4/5) + (−4/5)? (a) 8/5 (b) 0 (c) −4/5 (d) −8/5
  10. 10.What is 1/3 − (−8/9)? (a) −11/9 (b) 3/4 (c) 11/9 (d) −5/9
  11. 11.What is (−1/3) − (−1/5)? (a) −8/15 (b) 2/15 (c) 0 (d) −2/15
  12. 12.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  13. 13.Which is smaller: −3/7 or 5/9? (a) 5/9 (b) −3/7
  14. 14.Which is bigger: −2/7 or −3/5? (a) −2/7 (b) −3/5
  15. 15.What is 3/8 − (−5/6)? (a) −29/24 (b) −11/24 (c) 29/24 (d) 4/7
  16. 16.Is 8/5 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−7/8) − (−4/7)? (a) 17/56 (b) −17/56 (c) −81/56 (d) −1/5
  18. 18.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  19. 19.Which is bigger: −1/9 or −1/3? (a) −1/9 (b) −1/3
  20. 20.What is 5/9 − (−1/7)? (a) 3/8 (b) 26/63 (c) 44/63 (d) −44/63
  21. 21.Is 3/3 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −2/9 or 1/7? (a) −2/9 (b) 1/7
  23. 23.What is (−1/6) − 2/7? (a) −19/42 (b) 19/42 (c) 5/42 (d) −3/13
  24. 24.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  25. 25.What is (−1/9) + (−1/6)? (a) 1/18 (b) 5/18 (c) −2/15 (d) −5/18
  26. 26.Is −5/9 positive or negative? (a) Positive (b) Negative
  27. 27.What is 6/7 + (−6/7)? (a) 0 (b) 12/7
  28. 28.Which is bigger: −1/2 or −1/7? (a) −1/7 (b) −1/2
  29. 29.Is 2/3 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −3/8 or 1/5? (a) −3/8 (b) 1/5
  31. 31.Is −1/5 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −1/2 or −2/5? (a) −2/5 (b) −1/2
  33. 33.What is the additive inverse of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  34. 34.What is 3/5 + (−5/8)? (a) −1/40 (b) −2/13 (c) 1/40 (d) 49/40
  35. 35.Which is bigger: −2/7 or −5/8? (a) −5/8 (b) −2/7
  36. 36.What is 1/3 + (−1/5)? (a) 8/15 (b) −2/15 (c) 2/15 (d) 0
  37. 37.Write −20/25 in standard form (lowest terms, positive denominator). (a) −20/25 (b) −5/4 (c) −4/5 (d) 4/5
  38. 38.Which is smaller: −1/7 or 6/7? (a) −1/7 (b) 6/7
  39. 39.What is (−1/9) + 3/7? (a) 20/63 (b) 1/8 (c) −34/63 (d) −20/63
  40. 40.Is −6/(−3) positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/18
  2. −3/4
  3. −1/7
  4. Negative
  5. −7/8
  6. 5/4
  7. −5/4
  8. −68/63
  9. −8/5
  10. 11/9
  11. −2/15
  12. −1/8
  13. −3/7
  14. −2/7
  15. 29/24
  16. Positive
  17. −17/56
  18. −4/7
  19. −1/9
  20. 44/63
  21. Positive
  22. 1/7
  23. −19/42
  24. 8
  25. −5/18
  26. Negative
  27. 0
  28. −1/7
  29. Positive
  30. 1/5
  31. Negative
  32. −1/2
  33. −2/7
  34. −1/40
  35. −2/7
  36. 2/15
  37. −4/5
  38. −1/7
  39. 20/63
  40. Positive

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