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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 217 · 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 (−1/7) − (−1/8)? (a) 0 (b) −1/56 (c) −15/56 (d) 1/56
  2. 2.What is 7/9 + (−1/5)? (a) 44/45 (b) −26/45 (c) 26/45 (d) 3/7
  3. 3.What is (−6/7) − 5/8? (a) −11/15 (b) −13/56 (c) −83/56 (d) 83/56
  4. 4.Which is bigger: −3/4 or −5/8? (a) −3/4 (b) −5/8
  5. 5.What is (−5/9) + 1/4? (a) −29/36 (b) −4/13 (c) −11/36 (d) 11/36
  6. 6.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  7. 7.Which is smaller: −8/9 or −1/5? (a) −8/9 (b) −1/5
  8. 8.What is (−4/9) + 1/2? (a) −3/11 (b) −1/18 (c) −17/18 (d) 1/18
  9. 9.Is −5/6 positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  11. 11.Which is smaller: −2/7 or −3/7? (a) −3/7 (b) −2/7
  12. 12.Which is bigger: −3/7 or 2/7? (a) 2/7 (b) −3/7
  13. 13.What is 6/7 + (−7/9)? (a) 5/63 (b) −1/16 (c) −5/63 (d) 103/63
  14. 14.Is 8/5 positive or negative? (a) Negative (b) Positive
  15. 15.Is −5/2 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−1/6) + 7/9? (a) −11/18 (b) −17/18 (c) 11/18 (d) 2/5
  17. 17.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −4/8 (d) −1/2
  18. 18.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −3/18
  19. 19.What is (−1/6) − 5/8? (a) 19/24 (b) −3/7 (c) −19/24 (d) 11/24
  20. 20.What is (−5/6) + 7/9? (a) −29/18 (b) −1/18 (c) 1/18 (d) 2/15
  21. 21.What is 1/5 + (−8/9)? (a) 31/45 (b) −31/45 (c) −1/2 (d) 49/45
  22. 22.Is 7/8 positive or negative? (a) Negative (b) Positive
  23. 23.Write −25/35 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −25/35 (d) −5/7
  24. 24.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  25. 25.What is (−1/7) + (−1/4)? (a) 11/28 (b) 3/28 (c) −11/28 (d) −2/11
  26. 26.Which is smaller: −6/7 or −1/4? (a) −6/7 (b) −1/4
  27. 27.What is 1/2 + (−2/3)? (a) −1/6 (b) 7/6 (c) −1/5 (d) 1/6
  28. 28.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/9) − (−3/4)? (a) −23/36 (b) −31/36 (c) 23/36 (d) 2/13
  30. 30.Which is bigger: −6/7 or −3/7? (a) −3/7 (b) −6/7
  31. 31.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −8/20
  32. 32.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) −5/4 (d) 4/5
  33. 33.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −24/27 (d) −9/8
  35. 35.What is (−1/5) + (−1/6)? (a) 11/30 (b) −1/30 (c) −2/11 (d) −11/30
  36. 36.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  37. 37.What is (−8/9) + 8/9? (a) 0 (b) −16/9
  38. 38.What is 8/9 + (−7/9)? (a) −1/9 (b) 5/3 (c) 1/18 (d) 1/9
  39. 39.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  40. 40.What is (−3/4) − 3/4? (a) −3/2 (b) 3/2 (c) 0 (d) −3/4

Answer key

  1. −1/56
  2. 26/45
  3. −83/56
  4. −5/8
  5. −11/36
  6. −9
  7. −8/9
  8. 1/18
  9. Negative
  10. −1/2
  11. −3/7
  12. 2/7
  13. 5/63
  14. Positive
  15. Negative
  16. 11/18
  17. −1/2
  18. −1/6
  19. −19/24
  20. −1/18
  21. −31/45
  22. Positive
  23. −5/7
  24. 3/7
  25. −11/28
  26. −6/7
  27. −1/6
  28. Positive
  29. 23/36
  30. −3/7
  31. −2/5
  32. −4/5
  33. Positive
  34. −8/9
  35. −11/30
  36. −3/8
  37. 0
  38. 1/9
  39. 5
  40. −3/2

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