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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 165 · 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 reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  2. 2.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  3. 3.Which is smaller: −8/9 or 4/7? (a) 4/7 (b) −8/9
  4. 4.What is 4/5 − (−2/5)? (a) −6/5 (b) 2/5 (c) 3/5 (d) 6/5
  5. 5.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  6. 6.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −5/35 (c) 1/7 (d) −1/7
  7. 7.What is (−2/7) − (−5/8)? (a) 1/5 (b) −19/56 (c) 19/56 (d) −51/56
  8. 8.Which is bigger: −4/9 or 1/3? (a) −4/9 (b) 1/3
  9. 9.What is (−2/7) + 6/7? (a) 2/7 (b) 4/7 (c) −4/7 (d) −8/7
  10. 10.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/5) + (−5/6)? (a) −6/11 (b) 31/30 (c) 19/30 (d) −31/30
  12. 12.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  13. 13.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  14. 14.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  15. 15.Which is bigger: −3/4 or 4/7? (a) −3/4 (b) 4/7
  16. 16.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  17. 17.What is the additive inverse of −7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  18. 18.What is 2/5 − (−2/5)? (a) −4/5 (b) 2/5 (c) 4/5 (d) 0
  19. 19.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  20. 20.Write −4/36 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −4/36 (c) 1/9 (d) −1/9
  21. 21.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −28/32 (c) −7/8 (d) −8/7
  22. 22.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  23. 23.What is 3/7 + (−2/7)? (a) −1/7 (b) 5/7 (c) 1/7 (d) 1/14
  24. 24.What is 1/5 − (−1/9)? (a) 1/7 (b) 4/45 (c) 14/45 (d) −14/45
  25. 25.What is (−1/3) + (−5/7)? (a) 8/21 (b) 22/21 (c) −3/5 (d) −22/21
  26. 26.Is 1/4 positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −1/5 or 4/5? (a) −1/5 (b) 4/5
  28. 28.Which is bigger: −1/3 or −6/7? (a) −6/7 (b) −1/3
  29. 29.What is the additive inverse of 4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  30. 30.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −5/35 (c) −7/1 (d) 1/7
  31. 31.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  32. 32.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  34. 34.Which is bigger: −1/9 or −1/5? (a) −1/5 (b) −1/9
  35. 35.Which is bigger: −1/7 or −4/9? (a) −1/7 (b) −4/9
  36. 36.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−1/4) − (−2/9)? (a) −17/36 (b) −1/36 (c) 1/36 (d) 1/13
  38. 38.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −5/45 (d) 1/9
  39. 39.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.Is 8/7 positive or negative? (a) Negative (b) Positive

Answer key

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

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