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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 910 · 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 (−2/3) − 1/7? (a) −11/21 (b) 17/21 (c) −3/10 (d) −17/21
  2. 2.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/7) + (−2/3)? (a) −3/10 (b) 17/21 (c) 11/21 (d) −17/21
  4. 4.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −12/42 (d) 2/7
  5. 5.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  6. 6.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  7. 7.Which is bigger: −3/5 or 7/9? (a) −3/5 (b) 7/9
  8. 8.Which is smaller: −1/9 or −8/9? (a) −8/9 (b) −1/9
  9. 9.Which is smaller: −3/4 or −6/7? (a) −3/4 (b) −6/7
  10. 10.Which is bigger: −1/6 or −3/4? (a) −3/4 (b) −1/6
  11. 11.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  12. 12.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/9) − (−2/5)? (a) −38/45 (b) −2/45 (c) −1/7 (d) 2/45
  14. 14.What is (−6/7) − 5/7? (a) −11/14 (b) −1/7 (c) −11/7 (d) 11/7
  15. 15.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  16. 16.What is (−2/5) + 1/8? (a) 11/40 (b) −1/13 (c) −21/40 (d) −11/40
  17. 17.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  18. 18.Which is bigger: −5/8 or 1/2? (a) 1/2 (b) −5/8
  19. 19.What is (−2/3) − 1/6? (a) −1/3 (b) 5/6 (c) −1/2 (d) −5/6
  20. 20.Which is smaller: −5/9 or −3/5? (a) −3/5 (b) −5/9
  21. 21.Is −2/9 positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  23. 23.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  24. 24.What is 1/2 − (−2/3)? (a) −1/6 (b) −7/6 (c) 7/6 (d) 3/5
  25. 25.What is (−3/7) + (−8/9)? (a) 29/63 (b) −11/16 (c) −83/63 (d) 83/63
  26. 26.What is (−3/4) + 5/9? (a) 7/36 (b) −7/36 (c) 2/13 (d) −47/36
  27. 27.Write −5/25 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −5/25
  28. 28.Is 7/4 positive or negative? (a) Negative (b) Positive
  29. 29.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −4/20 (d) −1/5
  30. 30.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) 1/3 (d) −1/3
  31. 31.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  32. 32.Which is smaller: −5/6 or 2/3? (a) 2/3 (b) −5/6
  33. 33.Is 1/8 positive or negative? (a) Positive (b) Negative
  34. 34.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −4/20 (c) −5/1 (d) 1/5
  35. 35.Which is bigger: −1/9 or −1/5? (a) −1/5 (b) −1/9
  36. 36.What is (−5/6) + 4/5? (a) 1/30 (b) −1/30 (c) −1/11 (d) −49/30
  37. 37.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −10/16 (c) −5/8 (d) 5/8
  38. 38.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −18/42 (d) −7/3
  39. 39.What is 2/3 − (−1/2)? (a) 1/6 (b) 7/6 (c) 3/5 (d) −7/6
  40. 40.Which is smaller: −3/7 or −1/6? (a) −3/7 (b) −1/6

Answer key

  1. −17/21
  2. Positive
  3. −17/21
  4. −2/7
  5. 1/6
  6. −8/7
  7. 7/9
  8. −8/9
  9. −6/7
  10. −1/6
  11. 5/6
  12. Negative
  13. −2/45
  14. −11/7
  15. 1/9
  16. −11/40
  17. −8/9
  18. 1/2
  19. −5/6
  20. −3/5
  21. Negative
  22. −4/9
  23. Negative
  24. 7/6
  25. −83/63
  26. −7/36
  27. −1/5
  28. Positive
  29. −1/5
  30. −1/3
  31. −5/6
  32. −5/6
  33. Positive
  34. −1/5
  35. −1/9
  36. −1/30
  37. −5/8
  38. −3/7
  39. 7/6
  40. −3/7

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