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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 154 · 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 1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  2. 2.What is 4/7 + (−2/7)? (a) 6/7 (b) −2/7 (c) 1/7 (d) 2/7
  3. 3.Which is smaller: −5/6 or −1/3? (a) −5/6 (b) −1/3
  4. 4.Which is bigger: −1/7 or 8/9? (a) 8/9 (b) −1/7
  5. 5.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  7. 7.Is −9/3 positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −1/3 or 3/4? (a) 3/4 (b) −1/3
  9. 9.What is (−8/9) + 3/8? (a) 37/72 (b) −37/72 (c) −91/72 (d) −5/17
  10. 10.What is (−1/7) + 1/6? (a) 0 (b) 1/42 (c) −1/42 (d) −13/42
  11. 11.Is 6/9 positive or negative? (a) Negative (b) Positive
  12. 12.What is 1/3 + (−3/7)? (a) 16/21 (b) 2/21 (c) −2/21 (d) −1/5
  13. 13.Is 8/4 positive or negative? (a) Negative (b) Positive
  14. 14.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −16/18 (d) −9/8
  15. 15.What is (−2/9) − (−2/5)? (a) 8/45 (b) −8/45 (c) 0 (d) −28/45
  16. 16.What is (−1/9) − 1/2? (a) −11/18 (b) 11/18 (c) −2/11 (d) 7/18
  17. 17.What is the additive inverse of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  18. 18.What is (−5/8) + (−3/4)? (a) 11/8 (b) −11/8 (c) 1/8 (d) −2/3
  19. 19.Which is smaller: −4/5 or 5/9? (a) 5/9 (b) −4/5
  20. 20.What is (−1/9) + (−5/6)? (a) 13/18 (b) −2/5 (c) −17/18 (d) 17/18
  21. 21.Which is smaller: −4/9 or −1/6? (a) −4/9 (b) −1/6
  22. 22.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  23. 23.What is (−4/9) − 6/7? (a) 82/63 (b) 26/63 (c) −82/63 (d) −5/8
  24. 24.What is (−2/9) − (−4/9)? (a) −2/3 (b) −2/9 (c) 1/9 (d) 2/9
  25. 25.What is (−3/5) − 5/7? (a) −2/3 (b) 46/35 (c) 4/35 (d) −46/35
  26. 26.Which is smaller: −4/9 or −1/5? (a) −4/9 (b) −1/5
  27. 27.What is 3/4 + (−5/7)? (a) −2/11 (b) 41/28 (c) 1/28 (d) −1/28
  28. 28.Which is smaller: −4/5 or 3/7? (a) 3/7 (b) −4/5
  29. 29.Which is smaller: −2/3 or 3/4? (a) 3/4 (b) −2/3
  30. 30.What is the additive inverse of 5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  31. 31.What is (−1/7) − 1/9? (a) −2/63 (b) −1/8 (c) 16/63 (d) −16/63
  32. 32.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −40/45 (b) −9/8 (c) 8/9 (d) −8/9
  33. 33.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  34. 34.Which is bigger: −3/4 or −1/9? (a) −1/9 (b) −3/4
  35. 35.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  36. 36.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  37. 37.Which is smaller: −1/5 or −3/8? (a) −3/8 (b) −1/5
  38. 38.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  39. 39.What is (−2/7) − (−5/8)? (a) 19/56 (b) −51/56 (c) 1/5 (d) −19/56
  40. 40.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) 5/8 (d) −8/5

Answer key

  1. −1/4
  2. 2/7
  3. −5/6
  4. 8/9
  5. Negative
  6. 7/6
  7. Negative
  8. 3/4
  9. −37/72
  10. 1/42
  11. Positive
  12. −2/21
  13. Positive
  14. −8/9
  15. 8/45
  16. −11/18
  17. −5/9
  18. −11/8
  19. −4/5
  20. −17/18
  21. −4/9
  22. Negative
  23. −82/63
  24. 2/9
  25. −46/35
  26. −4/9
  27. 1/28
  28. −4/5
  29. −2/3
  30. −5/7
  31. −16/63
  32. −8/9
  33. 4
  34. −1/9
  35. −3/5
  36. −7/4
  37. −3/8
  38. −9
  39. 19/56
  40. −5/8

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