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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 945 · 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.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −4/28 (c) −1/7 (d) −7/1
  2. 2.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  3. 3.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  4. 4.Is 8/7 positive or negative? (a) Negative (b) Positive
  5. 5.What is the additive inverse of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  6. 6.Which is smaller: −6/7 or −1/8? (a) −6/7 (b) −1/8
  7. 7.Write −12/27 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −12/27 (c) −9/4 (d) 4/9
  8. 8.Is −4/2 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−6/7) − 4/5? (a) −58/35 (b) −5/6 (c) −2/35 (d) 58/35
  10. 10.What is 3/5 + (−1/4)? (a) 7/20 (b) 17/20 (c) −7/20 (d) 2/9
  11. 11.Is 7/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/2) + (−1/7)? (a) 9/14 (b) −5/14 (c) −9/14 (d) −2/9
  13. 13.Is 7/7 positive or negative? (a) Negative (b) Positive
  14. 14.What is 1/6 + (−1/5)? (a) 0 (b) 11/30 (c) −1/30 (d) 1/30
  15. 15.Which is bigger: −1/4 or −7/8? (a) −1/4 (b) −7/8
  16. 16.Which is bigger: −3/4 or −7/9? (a) −3/4 (b) −7/9
  17. 17.What is 3/4 + (−4/7)? (a) −1/11 (b) 5/28 (c) −5/28 (d) 37/28
  18. 18.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  19. 19.Which is bigger: −6/7 or 1/4? (a) 1/4 (b) −6/7
  20. 20.Which is smaller: −1/2 or 2/3? (a) 2/3 (b) −1/2
  21. 21.Which is bigger: −3/4 or −1/8? (a) −1/8 (b) −3/4
  22. 22.Which is bigger: −1/5 or −6/7? (a) −6/7 (b) −1/5
  23. 23.Which is smaller: −1/3 or 4/5? (a) 4/5 (b) −1/3
  24. 24.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −7/9 (c) −9/7 (d) 7/9
  25. 25.What is 2/9 + (−3/8)? (a) 11/72 (b) −1/17 (c) 43/72 (d) −11/72
  26. 26.What is the additive inverse of 3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  27. 27.Is −1/4 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−2/7) + 3/5? (a) −11/35 (b) 11/35 (c) 1/12 (d) −31/35
  29. 29.What is 7/8 + (−7/8)? (a) 0 (b) 7/4
  30. 30.Which is bigger: −3/4 or −1/4? (a) −1/4 (b) −3/4
  31. 31.What is (−1/4) − (−1/7)? (a) −3/28 (b) −11/28 (c) 0 (d) 3/28
  32. 32.Which is smaller: −7/8 or −1/6? (a) −7/8 (b) −1/6
  33. 33.What is the additive inverse of −3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  34. 34.What is (−3/4) − (−2/3)? (a) 1/12 (b) −1/12 (c) −1/7 (d) −17/12
  35. 35.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  36. 36.Which is bigger: −3/5 or −8/9? (a) −3/5 (b) −8/9
  37. 37.What is 1/7 − (−1/9)? (a) 2/63 (b) −16/63 (c) 16/63 (d) 1/8
  38. 38.What is (−4/9) + 1/2? (a) −1/18 (b) 1/18 (c) −3/11 (d) −17/18
  39. 39.Is 3/8 positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −7/9 or 2/5? (a) 2/5 (b) −7/9

Answer key

  1. −1/7
  2. 9/8
  3. 1/8
  4. Positive
  5. 2/9
  6. −6/7
  7. −4/9
  8. Negative
  9. −58/35
  10. 7/20
  11. Positive
  12. −9/14
  13. Positive
  14. −1/30
  15. −1/4
  16. −3/4
  17. 5/28
  18. 7/5
  19. 1/4
  20. −1/2
  21. −1/8
  22. −1/5
  23. −1/3
  24. −7/9
  25. −11/72
  26. −3/5
  27. Negative
  28. 11/35
  29. 0
  30. −1/4
  31. −3/28
  32. −7/8
  33. 3/5
  34. −1/12
  35. −1/9
  36. −3/5
  37. 16/63
  38. 1/18
  39. Positive
  40. −7/9

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