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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 363 · 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.Which is smaller: −4/7 or −1/4? (a) −1/4 (b) −4/7
  2. 2.Which is smaller: −3/7 or −1/7? (a) −1/7 (b) −3/7
  3. 3.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) −3/8 (d) 3/8
  4. 4.Write −3/27 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −3/27 (c) 1/9 (d) −1/9
  5. 5.Which is smaller: −2/3 or 1/5? (a) 1/5 (b) −2/3
  6. 6.What is (−3/4) + (−1/7)? (a) −17/28 (b) 25/28 (c) −4/11 (d) −25/28
  7. 7.Which is bigger: −4/7 or −7/9? (a) −4/7 (b) −7/9
  8. 8.Which is smaller: −1/3 or −1/7? (a) −1/3 (b) −1/7
  9. 9.What is 8/9 − (−6/7)? (a) −110/63 (b) 7/8 (c) 2/63 (d) 110/63
  10. 10.Is 2/4 positive or negative? (a) Positive (b) Negative
  11. 11.What is 3/4 − (−1/7)? (a) 17/28 (b) −25/28 (c) 25/28 (d) 4/11
  12. 12.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  13. 13.Which is smaller: −1/9 or −5/7? (a) −5/7 (b) −1/9
  14. 14.Which is bigger: −7/9 or 8/9? (a) 8/9 (b) −7/9
  15. 15.What is (−1/5) − 4/7? (a) 13/35 (b) −5/12 (c) 27/35 (d) −27/35
  16. 16.What is (−4/7) + (−1/3)? (a) 19/21 (b) −19/21 (c) −1/2 (d) −5/21
  17. 17.Is 1/2 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/6) − 2/5? (a) 7/30 (b) 17/30 (c) −3/11 (d) −17/30
  19. 19.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) 4/9 (c) −4/9 (d) −9/4
  20. 20.Which is smaller: −2/5 or 1/6? (a) 1/6 (b) −2/5
  21. 21.What is (−1/8) − 3/5? (a) 29/40 (b) −4/13 (c) 19/40 (d) −29/40
  22. 22.What is the additive inverse of −4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  23. 23.What is 1/8 + (−5/9)? (a) 31/72 (b) −4/17 (c) −31/72 (d) 49/72
  24. 24.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  25. 25.What is the additive inverse of 1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  26. 26.What is (−4/5) − 5/6? (a) 49/30 (b) 1/30 (c) −9/11 (d) −49/30
  27. 27.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  28. 28.What is (−1/5) + 5/9? (a) 2/7 (b) −34/45 (c) 16/45 (d) −16/45
  29. 29.Which is smaller: −1/5 or −8/9? (a) −8/9 (b) −1/5
  30. 30.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  31. 31.Write −6/30 in standard form (lowest terms, positive denominator). (a) −6/30 (b) 1/5 (c) −1/5 (d) −5/1
  32. 32.What is 1/3 − (−5/8)? (a) 6/11 (b) 23/24 (c) −23/24 (d) −7/24
  33. 33.What is (−1/4) + (−3/8)? (a) −1/3 (b) 5/8 (c) 1/8 (d) −5/8
  34. 34.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −6/30 (d) −1/5
  35. 35.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −7/8 (d) −8/7
  37. 37.Which is bigger: −8/9 or 6/7? (a) −8/9 (b) 6/7
  38. 38.Write −8/18 in standard form (lowest terms, positive denominator). (a) −8/18 (b) 4/9 (c) −9/4 (d) −4/9
  39. 39.What is (−5/7) − 5/7? (a) 0 (b) −5/7 (c) −10/7 (d) 10/7
  40. 40.Is 5/6 positive or negative? (a) Negative (b) Positive

Answer key

  1. −4/7
  2. −3/7
  3. −3/8
  4. −1/9
  5. −2/3
  6. −25/28
  7. −4/7
  8. −1/3
  9. 110/63
  10. Positive
  11. 25/28
  12. 4/3
  13. −5/7
  14. 8/9
  15. −27/35
  16. −19/21
  17. Positive
  18. −17/30
  19. −4/9
  20. −2/5
  21. −29/40
  22. 4/9
  23. −31/72
  24. −7/5
  25. −1/6
  26. −49/30
  27. 3/5
  28. 16/45
  29. −8/9
  30. 5/3
  31. −1/5
  32. 23/24
  33. −5/8
  34. −1/5
  35. Negative
  36. −7/8
  37. 6/7
  38. −4/9
  39. −10/7
  40. Positive

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