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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 626 · 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 −4/9 positive or negative? (a) Negative (b) Positive
  2. 2.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  3. 3.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −5/15 (d) 1/3
  4. 4.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −5/7 or −4/7? (a) −5/7 (b) −4/7
  6. 6.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  7. 7.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) −9/2 (c) −2/9 (d) 2/9
  8. 8.What is (−4/9) + 2/7? (a) 10/63 (b) −46/63 (c) −1/8 (d) −10/63
  9. 9.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  10. 10.What is 4/9 + (−3/5)? (a) 47/45 (b) −7/45 (c) 7/45 (d) 1/14
  11. 11.What is the additive inverse of −5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  12. 12.Which is smaller: −1/2 or 7/8? (a) −1/2 (b) 7/8
  13. 13.What is (−5/9) + 2/7? (a) −53/63 (b) −3/16 (c) 17/63 (d) −17/63
  14. 14.Is 8/5 positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  16. 16.What is (−1/7) + 2/7? (a) −1/7 (b) −3/7 (c) 1/7 (d) 1/14
  17. 17.Which is bigger: −7/8 or −2/3? (a) −2/3 (b) −7/8
  18. 18.What is (−2/9) − 1/3? (a) 5/9 (b) −1/4 (c) 1/9 (d) −5/9
  19. 19.What is (−2/9) − 5/7? (a) −7/16 (b) 31/63 (c) −59/63 (d) 59/63
  20. 20.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  21. 21.What is 1/9 + (−3/4)? (a) −23/36 (b) 31/36 (c) −2/13 (d) 23/36
  22. 22.What is (−6/7) + (−2/5)? (a) −2/3 (b) −16/35 (c) −44/35 (d) 44/35
  23. 23.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  25. 25.Which is bigger: −2/7 or −3/4? (a) −2/7 (b) −3/4
  26. 26.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  27. 27.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −20/35 (d) −7/4
  28. 28.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) 4/7 (d) −4/7
  29. 29.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  30. 30.What is (−1/5) + (−1/2)? (a) −2/7 (b) 7/10 (c) 3/10 (d) −7/10
  31. 31.What is (−1/8) + 4/9? (a) 23/72 (b) −23/72 (c) 3/17 (d) −41/72
  32. 32.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −16/20 (d) 4/5
  33. 33.What is 2/3 + (−1/9)? (a) 1/12 (b) 7/9 (c) −5/9 (d) 5/9
  34. 34.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  35. 35.Is −1/7 positive or negative? (a) Positive (b) Negative
  36. 36.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −2/8 (d) 1/4
  37. 37.Is 7/(−9) positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  39. 39.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  40. 40.What is (−5/9) + (−1/6)? (a) 13/18 (b) −2/5 (c) −13/18 (d) −7/18

Answer key

  1. Negative
  2. −5/3
  3. −1/3
  4. Negative
  5. −5/7
  6. −4/5
  7. −2/9
  8. −10/63
  9. Positive
  10. −7/45
  11. 5/6
  12. −1/2
  13. −17/63
  14. Positive
  15. 3
  16. 1/7
  17. −2/3
  18. −5/9
  19. −59/63
  20. −9/8
  21. −23/36
  22. −44/35
  23. Positive
  24. −1/8
  25. −2/7
  26. −7/2
  27. −4/7
  28. −4/7
  29. 4/5
  30. −7/10
  31. 23/72
  32. −4/5
  33. 5/9
  34. Positive
  35. Negative
  36. −1/4
  37. Negative
  38. 1/3
  39. 5/2
  40. −13/18

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