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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 554 · 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.Which is smaller: −2/3 or −3/4? (a) −2/3 (b) −3/4
  2. 2.Is −2/3 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−3/5) − 4/9? (a) −1/2 (b) −7/45 (c) −47/45 (d) 47/45
  4. 4.What is (−1/2) + (−1/2)? (a) −1/2 (b) −1 (c) 1 (d) 0
  5. 5.Which is bigger: −7/8 or −2/7? (a) −7/8 (b) −2/7
  6. 6.What is 2/5 − (−8/9)? (a) −22/45 (b) 5/7 (c) 58/45 (d) −58/45
  7. 7.Is 2/(−8) positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −1/8 or 2/5? (a) −1/8 (b) 2/5
  9. 9.Which is smaller: −3/5 or 7/8? (a) −3/5 (b) 7/8
  10. 10.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) 2/5 (d) −2/5
  11. 11.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  12. 12.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9
  13. 13.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  14. 14.What is 6/7 + (−1/2)? (a) 5/9 (b) 19/14 (c) −5/14 (d) 5/14
  15. 15.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  16. 16.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −14/16 (b) −7/8 (c) 7/8 (d) −8/7
  17. 17.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −1/7 or −4/5? (a) −4/5 (b) −1/7
  19. 19.What is 1/3 − (−1/5)? (a) 2/15 (b) −8/15 (c) 1/4 (d) 8/15
  20. 20.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −30/35 (c) −6/7 (d) −7/6
  21. 21.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  22. 22.What is (−1/3) − 3/7? (a) 16/21 (b) 2/21 (c) −16/21 (d) −2/5
  23. 23.Which is bigger: −2/3 or −8/9? (a) −8/9 (b) −2/3
  24. 24.What is (−3/7) − 8/9? (a) 29/63 (b) −83/63 (c) −11/16 (d) 83/63
  25. 25.Which is bigger: −3/8 or 3/7? (a) −3/8 (b) 3/7
  26. 26.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −30/54 (c) −9/5 (d) −5/9
  27. 27.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  28. 28.Which is smaller: −4/9 or −5/8? (a) −4/9 (b) −5/8
  29. 29.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  30. 30.What is (−1/5) + 1/7? (a) 0 (b) 2/35 (c) −2/35 (d) −12/35
  31. 31.Which is bigger: −4/7 or 4/9? (a) 4/9 (b) −4/7
  32. 32.What is (−4/5) − (−1/5)? (a) −3/10 (b) −1 (c) 3/5 (d) −3/5
  33. 33.What is (−1/8) + 4/9? (a) 23/72 (b) −41/72 (c) −23/72 (d) 3/17
  34. 34.What is (−1/2) − 6/7? (a) −19/14 (b) 5/14 (c) −7/9 (d) 19/14
  35. 35.Is −6/(−7) positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  37. 37.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  38. 38.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  39. 39.What is (−5/9) − 1/5? (a) −16/45 (b) −3/7 (c) −34/45 (d) 34/45
  40. 40.What is (−8/9) − (−5/6)? (a) −1/18 (b) −1/5 (c) −31/18 (d) 1/18

Answer key

  1. −3/4
  2. Negative
  3. −47/45
  4. −1
  5. −2/7
  6. 58/45
  7. Negative
  8. −1/8
  9. −3/5
  10. −2/5
  11. −3
  12. −1/9
  13. 4/3
  14. 5/14
  15. −2/3
  16. −7/8
  17. Positive
  18. −1/7
  19. 8/15
  20. −6/7
  21. −4/7
  22. −16/21
  23. −2/3
  24. −83/63
  25. 3/7
  26. −5/9
  27. −5/6
  28. −5/8
  29. 6/7
  30. −2/35
  31. 4/9
  32. −3/5
  33. 23/72
  34. −19/14
  35. Positive
  36. 1/3
  37. −9/4
  38. −7/6
  39. −34/45
  40. −1/18

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