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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 632 · 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 −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −15/18 (c) −6/5 (d) 5/6
  2. 2.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  3. 3.Which is smaller: −4/9 or 1/6? (a) −4/9 (b) 1/6
  4. 4.What is (−5/8) − 1/8? (a) −1/2 (b) 3/4 (c) −3/8 (d) −3/4
  5. 5.Which is bigger: −1/8 or 5/6? (a) 5/6 (b) −1/8
  6. 6.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −4/5 or −3/4? (a) −3/4 (b) −4/5
  8. 8.Which is smaller: −8/9 or 4/5? (a) −8/9 (b) 4/5
  9. 9.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −10/14
  10. 10.What is (−8/9) + 5/9? (a) −1/3 (b) −1/6 (c) −13/9 (d) 1/3
  11. 11.Which is bigger: −2/5 or −3/5? (a) −2/5 (b) −3/5
  12. 12.What is (−4/5) − (−1/2)? (a) −3/7 (b) −3/10 (c) 3/10 (d) −13/10
  13. 13.What is (−3/7) − (−1/4)? (a) −2/11 (b) 5/28 (c) −19/28 (d) −5/28
  14. 14.What is 4/5 + (−4/5)? (a) 8/5 (b) 0
  15. 15.Is 7/6 positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  17. 17.Which is bigger: −4/7 or −1/9? (a) −1/9 (b) −4/7
  18. 18.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  19. 19.Which is smaller: −2/7 or −1/3? (a) −1/3 (b) −2/7
  20. 20.What is 1/2 − (−2/3)? (a) −7/6 (b) −1/6 (c) 7/6 (d) 3/5
  21. 21.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  22. 22.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −1/9 (d) −9/1
  23. 23.Which is smaller: −1/4 or 7/8? (a) −1/4 (b) 7/8
  24. 24.What is the additive inverse of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  25. 25.What is the additive inverse of 2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  26. 26.What is the additive inverse of −1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  27. 27.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −35/40
  28. 28.What is (−4/5) + (−5/9)? (a) −11/45 (b) −9/14 (c) 61/45 (d) −61/45
  29. 29.What is (−2/7) + 3/5? (a) 11/35 (b) −31/35 (c) −11/35 (d) 1/12
  30. 30.What is the additive inverse of 3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  31. 31.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) −2/5 (d) 2/5
  32. 32.Is 1/9 positive or negative? (a) Positive (b) Negative
  33. 33.What is 5/7 − (−3/8)? (a) 61/56 (b) −61/56 (c) 19/56 (d) 8/15
  34. 34.What is 8/9 + (−2/3)? (a) −2/9 (b) 2/9 (c) 14/9 (d) 1/2
  35. 35.What is 7/9 + (−4/9)? (a) −1/3 (b) 11/9 (c) 1/6 (d) 1/3
  36. 36.What is 5/8 + (−1/2)? (a) 2/5 (b) 9/8 (c) −1/8 (d) 1/8
  37. 37.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  38. 38.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  39. 39.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.Is −7/(−3) positive or negative? (a) Positive (b) Negative

Answer key

  1. −5/6
  2. Positive
  3. −4/9
  4. −3/4
  5. 5/6
  6. Positive
  7. −3/4
  8. −8/9
  9. −5/7
  10. −1/3
  11. −2/5
  12. −3/10
  13. −5/28
  14. 0
  15. Positive
  16. 7/9
  17. −1/9
  18. −4/5
  19. −1/3
  20. 7/6
  21. 3/2
  22. −1/9
  23. −1/4
  24. −5/6
  25. −2/5
  26. 1/9
  27. −7/8
  28. −61/45
  29. 11/35
  30. −3/7
  31. −2/5
  32. Positive
  33. 61/56
  34. 2/9
  35. 1/3
  36. 1/8
  37. 1/6
  38. −1/2
  39. Negative
  40. Positive

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