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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 341 · 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 the additive inverse of −1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  2. 2.Which is bigger: −8/9 or −4/7? (a) −8/9 (b) −4/7
  3. 3.Which is smaller: −3/8 or −1/6? (a) −3/8 (b) −1/6
  4. 4.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −15/21 (d) 5/7
  6. 6.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −24/30 (d) −4/5
  7. 7.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −14/18 (d) −7/9
  8. 8.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  9. 9.Which is bigger: −1/9 or 5/8? (a) 5/8 (b) −1/9
  10. 10.What is (−2/9) − 1/5? (a) 19/45 (b) −1/45 (c) −19/45 (d) −3/14
  11. 11.What is (−3/8) + 1/3? (a) −17/24 (b) 1/24 (c) −1/24 (d) −2/11
  12. 12.Which is bigger: −1/4 or −1/6? (a) −1/6 (b) −1/4
  13. 13.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −24/28 (c) −7/6 (d) −6/7
  14. 14.Is −3/5 positive or negative? (a) Positive (b) Negative
  15. 15.Is 2/4 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −3/5 or 5/9? (a) −3/5 (b) 5/9
  17. 17.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  18. 18.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  19. 19.Which is smaller: −1/3 or 8/9? (a) 8/9 (b) −1/3
  20. 20.What is (−1/2) + (−2/5)? (a) −3/7 (b) −1/10 (c) 9/10 (d) −9/10
  21. 21.What is (−4/5) − (−3/7)? (a) −43/35 (b) −1/12 (c) 13/35 (d) −13/35
  22. 22.What is (−6/7) + 2/9? (a) −68/63 (b) 40/63 (c) −1/4 (d) −40/63
  23. 23.Which is smaller: −5/7 or −7/9? (a) −7/9 (b) −5/7
  24. 24.What is (−8/9) + (−5/9)? (a) 13/9 (b) −13/18 (c) −1/3 (d) −13/9
  25. 25.What is (−2/5) + (−4/5)? (a) 6/5 (b) −3/5 (c) 2/5 (d) −6/5
  26. 26.Is 3/2 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of 5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  28. 28.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.Is 9/6 positive or negative? (a) Negative (b) Positive
  30. 30.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  31. 31.What is (−1/5) + 3/5? (a) −4/5 (b) 2/5 (c) 1/5 (d) −2/5
  32. 32.Which is bigger: −3/4 or −3/7? (a) −3/4 (b) −3/7
  33. 33.Is −3/3 positive or negative? (a) Negative (b) Positive
  34. 34.Which is smaller: −1/5 or 6/7? (a) −1/5 (b) 6/7
  35. 35.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  36. 36.Which is bigger: −2/5 or −3/8? (a) −2/5 (b) −3/8
  37. 37.What is 1/3 + (−1/2)? (a) 1/6 (b) −1/6 (c) 5/6 (d) 0
  38. 38.What is 3/7 + (−1/8)? (a) 31/56 (b) −17/56 (c) 2/15 (d) 17/56
  39. 39.What is (−3/5) + 1/3? (a) −14/15 (b) −1/4 (c) −4/15 (d) 4/15
  40. 40.What is 1/2 − (−5/9)? (a) 6/11 (b) 19/18 (c) −19/18 (d) −1/18

Answer key

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

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