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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 295 · 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.Is −1/3 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−3/5) − (−3/5)? (a) 0 (b) −6/5
  3. 3.Is −3/9 positive or negative? (a) Negative (b) Positive
  4. 4.Write −18/48 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −18/48 (c) −3/8 (d) 3/8
  5. 5.Is −4/3 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−1/8) − 5/9? (a) −49/72 (b) −6/17 (c) 31/72 (d) 49/72
  7. 7.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−7/9) − 1/4? (a) −8/13 (b) −19/36 (c) −37/36 (d) 37/36
  9. 9.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) −1/2 (c) 1/2 (d) −2/1
  10. 10.What is (−6/7) − (−3/5)? (a) 9/35 (b) −1/4 (c) −9/35 (d) −51/35
  11. 11.Is 2/(−8) positive or negative? (a) Negative (b) Positive
  12. 12.What is the additive inverse of −3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  13. 13.Which is smaller: −6/7 or −1/2? (a) −6/7 (b) −1/2
  14. 14.What is 5/6 + (−7/8)? (a) −1/7 (b) 41/24 (c) −1/24 (d) 1/24
  15. 15.Which is smaller: −1/4 or 1/9? (a) −1/4 (b) 1/9
  16. 16.Write −15/24 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −15/24 (c) −8/5 (d) −5/8
  17. 17.What is (−1/7) + (−3/5)? (a) 16/35 (b) −26/35 (c) 26/35 (d) −1/3
  18. 18.What is (−4/5) − 5/9? (a) 61/45 (b) −11/45 (c) −61/45 (d) −9/14
  19. 19.What is the additive inverse of −5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5
  20. 20.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −21/24 (c) −8/7 (d) 7/8
  21. 21.Which is bigger: −2/5 or −7/9? (a) −7/9 (b) −2/5
  22. 22.Is −6/5 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −5/8 or 2/3? (a) −5/8 (b) 2/3
  24. 24.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  25. 25.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.What is 4/9 + (−5/8)? (a) 13/72 (b) −1/17 (c) −13/72 (d) 77/72
  27. 27.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −7/6 (d) −6/7
  28. 28.What is (−8/9) + 3/4? (a) −5/13 (b) −59/36 (c) −5/36 (d) 5/36
  29. 29.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  31. 31.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/1 (d) −5/10
  32. 32.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  33. 33.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −40/45 (c) −9/8 (d) 8/9
  34. 34.What is (−8/9) − 3/5? (a) 67/45 (b) −11/14 (c) −13/45 (d) −67/45
  35. 35.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  36. 36.What is (−1/7) + 4/7? (a) 3/7 (b) −5/7 (c) −3/7 (d) 3/14
  37. 37.Which is smaller: −3/4 or −1/7? (a) −1/7 (b) −3/4
  38. 38.Is −7/9 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−1/2) + 3/4? (a) 1/3 (b) −1/4 (c) 1/4 (d) −5/4
  40. 40.What is 3/5 + (−3/5)? (a) 6/5 (b) 0

Answer key

  1. Negative
  2. 0
  3. Negative
  4. −3/8
  5. Negative
  6. −49/72
  7. Positive
  8. −37/36
  9. −1/2
  10. −9/35
  11. Negative
  12. 3/7
  13. −6/7
  14. −1/24
  15. −1/4
  16. −5/8
  17. −26/35
  18. −61/45
  19. 5/8
  20. −7/8
  21. −2/5
  22. Negative
  23. −5/8
  24. 9/2
  25. Negative
  26. −13/72
  27. −6/7
  28. −5/36
  29. Negative
  30. −1/2
  31. −1/2
  32. −5/7
  33. −8/9
  34. −67/45
  35. −9/2
  36. 3/7
  37. −3/4
  38. Negative
  39. 1/4
  40. 0

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