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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 426 · 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.What is (−1/3) + 3/5? (a) 4/15 (b) −14/15 (c) 1/4 (d) −4/15
  2. 2.What is the additive inverse of 1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  3. 3.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) −8/3 (d) 3/8
  4. 4.Which is bigger: −7/8 or 8/9? (a) −7/8 (b) 8/9
  5. 5.Which is smaller: −2/5 or 7/8? (a) −2/5 (b) 7/8
  6. 6.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  7. 7.What is 3/5 + (−2/3)? (a) 1/15 (b) 1/8 (c) 19/15 (d) −1/15
  8. 8.Which is smaller: −4/5 or −1/2? (a) −4/5 (b) −1/2
  9. 9.Which is smaller: −7/9 or −3/7? (a) −7/9 (b) −3/7
  10. 10.What is (−1/4) − (−5/6)? (a) 2/5 (b) 7/12 (c) −13/12 (d) −7/12
  11. 11.Which is smaller: −2/9 or −4/7? (a) −2/9 (b) −4/7
  12. 12.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  13. 13.Write −6/12 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −6/12 (d) −1/2
  14. 14.What is the additive inverse of −1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  15. 15.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −5/9 or −2/7? (a) −2/7 (b) −5/9
  17. 17.What is 2/5 − (−3/7)? (a) −1/35 (b) −29/35 (c) 5/12 (d) 29/35
  18. 18.Which is smaller: −1/3 or −1/2? (a) −1/3 (b) −1/2
  19. 19.What is 1/4 + (−7/8)? (a) 9/8 (b) −1/2 (c) 5/8 (d) −5/8
  20. 20.Which is smaller: −2/5 or −3/8? (a) −2/5 (b) −3/8
  21. 21.What is (−3/8) + 1/2? (a) −1/8 (b) −1/5 (c) 1/8 (d) −7/8
  22. 22.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.What is 4/7 − (−1/5)? (a) −27/35 (b) 5/12 (c) 13/35 (d) 27/35
  24. 24.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  25. 25.Is 6/8 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/7) + (−3/7)? (a) −4/7 (b) −2/7 (c) 2/7 (d) 4/7
  27. 27.What is the additive inverse of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  28. 28.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  29. 29.What is the additive inverse of −6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  30. 30.What is (−6/7) + 1/5? (a) −5/12 (b) −37/35 (c) −23/35 (d) 23/35
  31. 31.What is (−2/9) − 1/2? (a) 13/18 (b) −3/11 (c) −13/18 (d) 5/18
  32. 32.Which is smaller: −2/3 or 5/6? (a) −2/3 (b) 5/6
  33. 33.Which is bigger: −1/9 or 5/9? (a) 5/9 (b) −1/9
  34. 34.What is 4/5 + (−2/7)? (a) 38/35 (b) 18/35 (c) −18/35 (d) 1/6
  35. 35.Which is smaller: −1/5 or 3/4? (a) 3/4 (b) −1/5
  36. 36.What is 1/5 + (−8/9)? (a) −31/45 (b) 49/45 (c) −1/2 (d) 31/45
  37. 37.Which is bigger: −5/8 or 2/5? (a) −5/8 (b) 2/5
  38. 38.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  39. 39.Which is bigger: −3/7 or −4/7? (a) −3/7 (b) −4/7
  40. 40.What is (−5/7) − (−1/2)? (a) −17/14 (b) −4/9 (c) 3/14 (d) −3/14

Answer key

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

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