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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 636 · 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 the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  2. 2.Is 8/6 positive or negative? (a) Positive (b) Negative
  3. 3.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  4. 4.What is (−1/3) + 1/5? (a) −2/15 (b) −8/15 (c) 0 (d) 2/15
  5. 5.What is 7/9 + (−3/7)? (a) 1/4 (b) 76/63 (c) −22/63 (d) 22/63
  6. 6.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −15/20
  7. 7.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  8. 8.What is 3/4 − (−8/9)? (a) −59/36 (b) −5/36 (c) 11/13 (d) 59/36
  9. 9.Write −10/35 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −10/35 (d) 2/7
  10. 10.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  12. 12.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.Is 9/2 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/5) + 3/5? (a) 1/5 (b) 2/5 (c) −4/5 (d) −2/5
  15. 15.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  16. 16.What is (−3/8) − 4/5? (a) 47/40 (b) −47/40 (c) −7/13 (d) 17/40
  17. 17.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −9/21 (d) −3/7
  18. 18.What is 4/9 − (−1/8)? (a) 23/72 (b) 5/17 (c) −41/72 (d) 41/72
  19. 19.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/4) + 3/8? (a) −1/8 (b) 1/8 (c) 1/6 (d) −5/8
  21. 21.What is (−8/9) − 1/5? (a) −31/45 (b) −9/14 (c) 49/45 (d) −49/45
  22. 22.Is 5/2 positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  24. 24.Which is bigger: −8/9 or 4/9? (a) −8/9 (b) 4/9
  25. 25.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −4/5 or 5/7? (a) −4/5 (b) 5/7
  27. 27.Which is smaller: −7/9 or −5/8? (a) −7/9 (b) −5/8
  28. 28.Which is bigger: −4/5 or −2/9? (a) −4/5 (b) −2/9
  29. 29.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  30. 30.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  31. 31.Which is bigger: −4/5 or 5/6? (a) 5/6 (b) −4/5
  32. 32.Which is smaller: −7/8 or −5/6? (a) −7/8 (b) −5/6
  33. 33.What is (−3/4) + 1/3? (a) 5/12 (b) −2/7 (c) −5/12 (d) −13/12
  34. 34.Which is bigger: −3/8 or −4/9? (a) −3/8 (b) −4/9
  35. 35.Which is smaller: −5/6 or −3/4? (a) −5/6 (b) −3/4
  36. 36.What is (−1/2) − 1/6? (a) −1/3 (b) −1/4 (c) −2/3 (d) 2/3
  37. 37.Which is smaller: −1/3 or −2/5? (a) −2/5 (b) −1/3
  38. 38.Which is smaller: −7/9 or 2/5? (a) 2/5 (b) −7/9
  39. 39.What is (−5/8) + (−3/7)? (a) −11/56 (b) −59/56 (c) 59/56 (d) −8/15
  40. 40.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3

Answer key

  1. −7/9
  2. Positive
  3. 8/7
  4. −2/15
  5. 22/63
  6. −3/4
  7. −8/5
  8. 59/36
  9. −2/7
  10. Positive
  11. 5/2
  12. Negative
  13. Positive
  14. 2/5
  15. −5/2
  16. −47/40
  17. −3/7
  18. 41/72
  19. Negative
  20. 1/8
  21. −49/45
  22. Positive
  23. −2/9
  24. 4/9
  25. Positive
  26. −4/5
  27. −7/9
  28. −2/9
  29. −5/8
  30. 5/6
  31. 5/6
  32. −7/8
  33. −5/12
  34. −3/8
  35. −5/6
  36. −2/3
  37. −2/5
  38. −7/9
  39. −59/56
  40. 4/3

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