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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 428 · 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: −1/9 or 8/9? (a) −1/9 (b) 8/9
  2. 2.What is (−1/5) − 6/7? (a) 37/35 (b) 23/35 (c) −7/12 (d) −37/35
  3. 3.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −5/10 (d) −2/1
  4. 4.Which is bigger: −5/8 or −3/5? (a) −5/8 (b) −3/5
  5. 5.Which is bigger: −8/9 or −3/7? (a) −3/7 (b) −8/9
  6. 6.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) 3/4 (c) −3/4 (d) −4/3
  7. 7.What is 1/2 − (−7/9)? (a) 8/11 (b) 23/18 (c) −23/18 (d) −5/18
  8. 8.Which is smaller: −5/6 or −1/9? (a) −5/6 (b) −1/9
  9. 9.Which is bigger: −1/3 or −2/7? (a) −2/7 (b) −1/3
  10. 10.What is (−4/9) − 5/8? (a) 77/72 (b) 13/72 (c) −77/72 (d) −9/17
  11. 11.What is (−1/5) + 3/5? (a) 2/5 (b) −2/5 (c) −4/5 (d) 1/5
  12. 12.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −2/9 or 3/4? (a) 3/4 (b) −2/9
  14. 14.What is 3/8 − (−1/7)? (a) 29/56 (b) 13/56 (c) 4/15 (d) −29/56
  15. 15.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/7) − 7/9? (a) −9/16 (b) 31/63 (c) 67/63 (d) −67/63
  17. 17.What is (−1/2) − 2/3? (a) 1/6 (b) −3/5 (c) −7/6 (d) 7/6
  18. 18.Write −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −4/8 (d) −1/2
  19. 19.Which is bigger: −5/8 or −5/6? (a) −5/6 (b) −5/8
  20. 20.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  21. 21.What is the additive inverse of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  22. 22.Which is bigger: −2/3 or −4/9? (a) −2/3 (b) −4/9
  23. 23.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −15/20
  24. 24.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  25. 25.Write −10/35 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −10/35
  26. 26.Which is smaller: −2/9 or −7/8? (a) −7/8 (b) −2/9
  27. 27.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  28. 28.Which is bigger: −5/6 or 2/7? (a) −5/6 (b) 2/7
  29. 29.What is (−5/9) + 3/8? (a) −67/72 (b) −2/17 (c) 13/72 (d) −13/72
  30. 30.What is (−2/3) − 3/5? (a) 19/15 (b) −5/8 (c) −1/15 (d) −19/15
  31. 31.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −6/24 (d) −1/4
  32. 32.What is (−7/8) + (−4/9)? (a) −11/17 (b) −31/72 (c) 95/72 (d) −95/72
  33. 33.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −24/28
  34. 34.What is 4/5 + (−7/9)? (a) −1/45 (b) 1/45 (c) −3/14 (d) 71/45
  35. 35.What is 1/3 + (−5/8)? (a) −7/24 (b) 7/24 (c) −4/11 (d) 23/24
  36. 36.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  37. 37.What is (−1/6) − (−2/3)? (a) −5/6 (b) 1/9 (c) 1/2 (d) −1/2
  38. 38.Which is bigger: −1/4 or −3/5? (a) −3/5 (b) −1/4
  39. 39.What is 2/3 + (−1/3)? (a) −1/3 (b) 1/6 (c) 1 (d) 1/3
  40. 40.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) 4/7 (c) −7/4 (d) −4/7

Answer key

  1. −1/9
  2. −37/35
  3. −1/2
  4. −3/5
  5. −3/7
  6. −3/4
  7. 23/18
  8. −5/6
  9. −2/7
  10. −77/72
  11. 2/5
  12. Negative
  13. 3/4
  14. 29/56
  15. Positive
  16. −67/63
  17. −7/6
  18. −1/2
  19. −5/8
  20. −5/6
  21. −5/8
  22. −4/9
  23. −3/4
  24. −1/7
  25. −2/7
  26. −7/8
  27. 9
  28. 2/7
  29. −13/72
  30. −19/15
  31. −1/4
  32. −95/72
  33. −6/7
  34. 1/45
  35. −7/24
  36. 6/5
  37. 1/2
  38. −1/4
  39. 1/3
  40. −4/7

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