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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 621 · 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 1/8? (a) −8 (b) −1/8 (c) 1/8 (d) 8
  2. 2.Which is bigger: −1/8 or −7/9? (a) −7/9 (b) −1/8
  3. 3.What is 6/7 − (−4/5)? (a) 58/35 (b) 2/35 (c) −58/35 (d) 5/6
  4. 4.What is 1/6 − (−4/5)? (a) −19/30 (b) 29/30 (c) −29/30 (d) 5/11
  5. 5.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) −2/3 (d) 2/3
  6. 6.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −15/35 (b) −7/3 (c) −3/7 (d) 3/7
  7. 7.What is 7/9 − (−5/8)? (a) −101/72 (b) 12/17 (c) 11/72 (d) 101/72
  8. 8.What is (−1/5) + 1/6? (a) −11/30 (b) 0 (c) −1/30 (d) 1/30
  9. 9.What is (−2/3) − (−7/9)? (a) 5/12 (b) 1/9 (c) −1/9 (d) −13/9
  10. 10.What is 7/9 + (−4/9)? (a) 1/6 (b) −1/3 (c) 11/9 (d) 1/3
  11. 11.What is 3/8 − (−5/6)? (a) −29/24 (b) −11/24 (c) 4/7 (d) 29/24
  12. 12.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  13. 13.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −18/21
  14. 14.What is 1/8 − (−5/8)? (a) 3/4 (b) −1/2 (c) 3/8 (d) −3/4
  15. 15.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  16. 16.Which is bigger: −6/7 or 1/5? (a) 1/5 (b) −6/7
  17. 17.What is (−4/7) − (−7/9)? (a) −85/63 (b) 13/63 (c) 3/16 (d) −13/63
  18. 18.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  19. 19.What is 2/7 − (−1/7)? (a) −3/7 (b) 1/7 (c) 3/14 (d) 3/7
  20. 20.Which is bigger: −5/6 or 1/2? (a) 1/2 (b) −5/6
  21. 21.What is (−5/9) − (−3/7)? (a) −1/8 (b) −8/63 (c) −62/63 (d) 8/63
  22. 22.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  23. 23.Is 6/5 positive or negative? (a) Negative (b) Positive
  24. 24.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  25. 25.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −5/45 (b) −9/1 (c) −1/9 (d) 1/9
  26. 26.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  28. 28.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −5/20 (c) 1/4 (d) −4/1
  29. 29.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  30. 30.Which is bigger: −5/9 or −2/7? (a) −5/9 (b) −2/7
  31. 31.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  32. 32.What is 1/7 + (−1/8)? (a) −1/56 (b) 1/56 (c) 0 (d) 15/56
  33. 33.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  34. 34.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  35. 35.What is 1/7 + (−1/9)? (a) −2/63 (b) 0 (c) 16/63 (d) 2/63
  36. 36.What is (−1/5) + 1/9? (a) 4/45 (b) −14/45 (c) −4/45 (d) 0
  37. 37.What is (−4/5) − 1/9? (a) −31/45 (b) −41/45 (c) −5/14 (d) 41/45
  38. 38.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  39. 39.What is (−3/5) − 7/9? (a) 8/45 (b) −5/7 (c) −62/45 (d) 62/45
  40. 40.What is (−1/7) − (−1/9)? (a) 2/63 (b) −2/63 (c) −16/63 (d) 0

Answer key

  1. −1/8
  2. −1/8
  3. 58/35
  4. 29/30
  5. −2/3
  6. −3/7
  7. 101/72
  8. −1/30
  9. 1/9
  10. 1/3
  11. 29/24
  12. 5/2
  13. −6/7
  14. 3/4
  15. −8/5
  16. 1/5
  17. 13/63
  18. 2
  19. 3/7
  20. 1/2
  21. −8/63
  22. −7/6
  23. Positive
  24. Positive
  25. −1/9
  26. Negative
  27. Negative
  28. −1/4
  29. 7/4
  30. −2/7
  31. 2/3
  32. 1/56
  33. 3/5
  34. 9/7
  35. 2/63
  36. −4/45
  37. −41/45
  38. −2
  39. −62/45
  40. −2/63

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