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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 86 · 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 bigger: −3/7 or 5/7? (a) 5/7 (b) −3/7
  2. 2.Which is bigger: −7/9 or 1/5? (a) −7/9 (b) 1/5
  3. 3.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −30/54
  4. 4.What is (−1/8) − (−1/2)? (a) 0 (b) −5/8 (c) −3/8 (d) 3/8
  5. 5.What is (−7/9) − 3/8? (a) −29/72 (b) −83/72 (c) −10/17 (d) 83/72
  6. 6.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −12/28
  7. 7.What is the additive inverse of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  8. 8.What is the additive inverse of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  9. 9.Which is smaller: −6/7 or 2/9? (a) −6/7 (b) 2/9
  10. 10.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  11. 11.What is (−3/8) − 5/7? (a) −61/56 (b) 19/56 (c) 61/56 (d) −8/15
  12. 12.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  13. 13.What is 2/7 − (−1/7)? (a) 3/14 (b) 1/7 (c) −3/7 (d) 3/7
  14. 14.Which is bigger: −1/7 or −4/5? (a) −4/5 (b) −1/7
  15. 15.What is (−3/4) − (−3/8)? (a) 0 (b) 3/8 (c) −3/8 (d) −9/8
  16. 16.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −1/2 (d) −2/1
  17. 17.Which is smaller: −1/5 or −7/8? (a) −7/8 (b) −1/5
  18. 18.Which is bigger: −1/6 or 1/4? (a) −1/6 (b) 1/4
  19. 19.What is (−1/7) + 2/7? (a) −1/7 (b) 1/14 (c) −3/7 (d) 1/7
  20. 20.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  21. 21.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −20/28 (c) −7/5 (d) 5/7
  22. 22.Is 7/4 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −5/9 or −1/8? (a) −5/9 (b) −1/8
  24. 24.What is 6/7 − (−2/5)? (a) 16/35 (b) −44/35 (c) 2/3 (d) 44/35
  25. 25.What is (−1/4) − 2/3? (a) −11/12 (b) 11/12 (c) 5/12 (d) −3/7
  26. 26.Is 2/9 positive or negative? (a) Negative (b) Positive
  27. 27.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −5/4 (c) −4/5 (d) 4/5
  28. 28.Write −16/36 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −16/36 (d) 4/9
  29. 29.What is (−4/9) + (−1/9)? (a) −5/18 (b) −1/3 (c) −5/9 (d) 5/9
  30. 30.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/4 (d) −2/1
  31. 31.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  32. 32.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  33. 33.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  35. 35.What is (−4/5) + (−1/4)? (a) −5/9 (b) −21/20 (c) 21/20 (d) −11/20
  36. 36.What is (−1/7) + (−1/4)? (a) 11/28 (b) −11/28 (c) −2/11 (d) 3/28
  37. 37.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/5) + 4/5? (a) −7/5 (b) 1/10 (c) −1/5 (d) 1/5
  39. 39.What is (−2/5) − 3/8? (a) −1/40 (b) −31/40 (c) 31/40 (d) −5/13
  40. 40.Which is bigger: −2/7 or −5/6? (a) −2/7 (b) −5/6

Answer key

  1. 5/7
  2. 1/5
  3. −5/9
  4. 3/8
  5. −83/72
  6. −3/7
  7. 1/5
  8. −3/4
  9. −6/7
  10. −2/5
  11. −61/56
  12. 8
  13. 3/7
  14. −1/7
  15. −3/8
  16. −1/2
  17. −7/8
  18. 1/4
  19. 1/7
  20. −1/5
  21. −5/7
  22. Positive
  23. −5/9
  24. 44/35
  25. −11/12
  26. Positive
  27. −4/5
  28. −4/9
  29. −5/9
  30. −1/2
  31. −4/5
  32. 2/9
  33. Negative
  34. 5/3
  35. −21/20
  36. −11/28
  37. Negative
  38. 1/5
  39. −31/40
  40. −2/7

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