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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 880 · 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 9/8 positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  3. 3.What is (−3/4) + (−5/7)? (a) −8/11 (b) −1/28 (c) −41/28 (d) 41/28
  4. 4.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  5. 5.What is the additive inverse of −2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  6. 6.What is 1/7 − (−3/7)? (a) −4/7 (b) 4/7 (c) −2/7 (d) 2/7
  7. 7.Which is smaller: −4/5 or −3/5? (a) −3/5 (b) −4/5
  8. 8.Which is bigger: −2/3 or 5/8? (a) −2/3 (b) 5/8
  9. 9.What is (−1/2) + 2/9? (a) −13/18 (b) 1/11 (c) 5/18 (d) −5/18
  10. 10.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −12/28 (d) 3/7
  11. 11.What is (−2/9) + 3/7? (a) −13/63 (b) 1/16 (c) −41/63 (d) 13/63
  12. 12.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  13. 13.Is 2/4 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−3/5) + 7/9? (a) 2/7 (b) −8/45 (c) −62/45 (d) 8/45
  15. 15.Which is bigger: −8/9 or 2/9? (a) −8/9 (b) 2/9
  16. 16.What is 4/9 − (−3/4)? (a) 43/36 (b) −11/36 (c) −43/36 (d) 7/13
  17. 17.Which is smaller: −8/9 or −2/9? (a) −2/9 (b) −8/9
  18. 18.What is (−6/7) − 7/8? (a) −13/15 (b) 97/56 (c) 1/56 (d) −97/56
  19. 19.What is (−2/9) − 5/7? (a) −59/63 (b) −7/16 (c) 31/63 (d) 59/63
  20. 20.What is (−4/7) + (−1/3)? (a) −1/2 (b) −19/21 (c) −5/21 (d) 19/21
  21. 21.What is (−5/9) + (−7/8)? (a) 103/72 (b) −103/72 (c) 23/72 (d) −12/17
  22. 22.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  23. 23.What is the additive inverse of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  24. 24.What is (−1/3) + 5/7? (a) 2/5 (b) 8/21 (c) −8/21 (d) −22/21
  25. 25.Which is smaller: −1/8 or 3/7? (a) −1/8 (b) 3/7
  26. 26.Is −4/5 positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −1/8 or 2/3? (a) 2/3 (b) −1/8
  28. 28.What is 2/3 − (−2/5)? (a) 4/15 (b) 1/2 (c) 16/15 (d) −16/15
  29. 29.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  30. 30.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−4/7) + (−3/5)? (a) −41/35 (b) −7/12 (c) 41/35 (d) 1/35
  32. 32.What is 5/9 − (−1/5)? (a) 16/45 (b) 34/45 (c) −34/45 (d) 3/7
  33. 33.What is 1/5 + (−7/8)? (a) −6/13 (b) −27/40 (c) 43/40 (d) 27/40
  34. 34.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) −7/4 (d) 4/7
  35. 35.What is (−3/8) − (−1/2)? (a) −1/5 (b) 1/8 (c) −7/8 (d) −1/8
  36. 36.What is the additive inverse of 6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  37. 37.What is (−3/4) − (−2/3)? (a) −17/12 (b) −1/7 (c) 1/12 (d) −1/12
  38. 38.What is (−1/5) − 4/5? (a) 3/5 (b) −1 (c) −1/2 (d) 1
  39. 39.Which is bigger: −2/7 or −3/7? (a) −3/7 (b) −2/7
  40. 40.Is 2/8 positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. 8/7
  3. −41/28
  4. 7/8
  5. 2/9
  6. 4/7
  7. −4/5
  8. 5/8
  9. −5/18
  10. −3/7
  11. 13/63
  12. Positive
  13. Positive
  14. 8/45
  15. 2/9
  16. 43/36
  17. −8/9
  18. −97/56
  19. −59/63
  20. −19/21
  21. −103/72
  22. 3/8
  23. −1/5
  24. 8/21
  25. −1/8
  26. Negative
  27. −1/8
  28. 16/15
  29. 4/3
  30. Positive
  31. −41/35
  32. 34/45
  33. −27/40
  34. −4/7
  35. 1/8
  36. −6/7
  37. −1/12
  38. −1
  39. −2/7
  40. Positive

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