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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 116 · 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.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −2/3 or −1/5? (a) −2/3 (b) −1/5
  3. 3.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  4. 4.Which is smaller: −4/5 or −3/5? (a) −3/5 (b) −4/5
  5. 5.Which is bigger: −3/8 or 5/9? (a) 5/9 (b) −3/8
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  7. 7.What is 5/6 − (−2/3)? (a) −3/2 (b) 1/6 (c) 7/9 (d) 3/2
  8. 8.What is 2/9 + (−7/9)? (a) 1 (b) 5/9 (c) −5/9 (d) −5/18
  9. 9.What is (−6/7) + (−1/6)? (a) −43/42 (b) 43/42 (c) −7/13 (d) −29/42
  10. 10.What is the additive inverse of 5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  11. 11.What is (−1/5) + 4/7? (a) −13/35 (b) 1/4 (c) 13/35 (d) −27/35
  12. 12.Is 2/5 positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −2/7 or −1/6? (a) −1/6 (b) −2/7
  14. 14.Write −10/25 in standard form (lowest terms, positive denominator). (a) −10/25 (b) 2/5 (c) −5/2 (d) −2/5
  15. 15.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −2/14 (b) 1/7 (c) −1/7 (d) −7/1
  16. 16.Which is smaller: −7/8 or −4/7? (a) −4/7 (b) −7/8
  17. 17.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −15/18
  18. 18.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4
  19. 19.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −36/42 (c) 6/7 (d) −6/7
  20. 20.Is −8/7 positive or negative? (a) Negative (b) Positive
  21. 21.Is 4/2 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −2/3 or −8/9? (a) −2/3 (b) −8/9
  23. 23.What is (−4/5) + 3/4? (a) −31/20 (b) −1/9 (c) 1/20 (d) −1/20
  24. 24.Which is bigger: −5/7 or −1/5? (a) −1/5 (b) −5/7
  25. 25.Which is bigger: −5/9 or −1/4? (a) −5/9 (b) −1/4
  26. 26.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  27. 27.Write −15/40 in standard form (lowest terms, positive denominator). (a) −15/40 (b) −3/8 (c) −8/3 (d) 3/8
  28. 28.What is (−3/5) − (−3/4)? (a) −27/20 (b) −3/20 (c) 3/20 (d) 0
  29. 29.What is (−2/5) − 4/7? (a) −1/2 (b) 34/35 (c) 6/35 (d) −34/35
  30. 30.What is (−5/7) + (−3/4)? (a) 1/28 (b) −41/28 (c) −8/11 (d) 41/28
  31. 31.What is (−1/3) + (−5/8)? (a) 23/24 (b) 7/24 (c) −23/24 (d) −6/11
  32. 32.What is (−1/6) − 4/5? (a) −29/30 (b) −5/11 (c) 19/30 (d) 29/30
  33. 33.Is −1/5 positive or negative? (a) Negative (b) Positive
  34. 34.Which is smaller: −4/5 or −4/9? (a) −4/5 (b) −4/9
  35. 35.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −8/3 (d) −18/48
  36. 36.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  37. 37.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  38. 38.What is 3/7 − (−3/7)? (a) 0 (b) 3/7 (c) 6/7 (d) −6/7
  39. 39.What is 5/7 − (−5/7)? (a) −10/7 (b) 0 (c) 10/7 (d) 5/7
  40. 40.What is 5/8 + (−6/7)? (a) −1/15 (b) 13/56 (c) 83/56 (d) −13/56

Answer key

  1. Positive
  2. −1/5
  3. −9/5
  4. −4/5
  5. 5/9
  6. −3
  7. 3/2
  8. −5/9
  9. −43/42
  10. −5/9
  11. 13/35
  12. Positive
  13. −2/7
  14. −2/5
  15. −1/7
  16. −7/8
  17. −5/6
  18. 4/3
  19. −6/7
  20. Negative
  21. Positive
  22. −2/3
  23. −1/20
  24. −1/5
  25. −1/4
  26. Negative
  27. −3/8
  28. 3/20
  29. −34/35
  30. −41/28
  31. −23/24
  32. −29/30
  33. Negative
  34. −4/5
  35. −3/8
  36. 6/5
  37. 3/4
  38. 6/7
  39. 10/7
  40. −13/56

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