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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 729 · 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 1/5 − (−1/9)? (a) 14/45 (b) 1/7 (c) −14/45 (d) 4/45
  2. 2.What is the additive inverse of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  3. 3.Which is bigger: −2/3 or 1/3? (a) 1/3 (b) −2/3
  4. 4.What is (−1/9) + 3/5? (a) −32/45 (b) 22/45 (c) 1/7 (d) −22/45
  5. 5.What is (−2/5) − 7/8? (a) 19/40 (b) −51/40 (c) 51/40 (d) −9/13
  6. 6.What is the additive inverse of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  7. 7.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  8. 8.Is −6/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −5/7 or −3/5? (a) −5/7 (b) −3/5
  11. 11.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  12. 12.Which is bigger: −1/6 or −3/8? (a) −3/8 (b) −1/6
  13. 13.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  14. 14.Which is smaller: −7/8 or −2/3? (a) −2/3 (b) −7/8
  15. 15.Which is bigger: −1/4 or 3/4? (a) −1/4 (b) 3/4
  16. 16.Which is smaller: −2/5 or 3/7? (a) 3/7 (b) −2/5
  17. 17.What is (−4/9) + (−7/9)? (a) 11/9 (b) 1/3 (c) −11/18 (d) −11/9
  18. 18.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  19. 19.Write −6/9 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  20. 20.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  21. 21.What is (−7/9) + 5/7? (a) −94/63 (b) −1/8 (c) 4/63 (d) −4/63
  22. 22.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −6/14 (c) −7/3 (d) −3/7
  23. 23.What is 5/7 + (−2/3)? (a) −1/21 (b) 1/21 (c) 3/10 (d) 29/21
  24. 24.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  25. 25.What is 4/9 + (−5/9)? (a) 1/9 (b) −1/9 (c) −1/18 (d) 1
  26. 26.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  27. 27.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  28. 28.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  29. 29.Which is smaller: −7/9 or 4/7? (a) 4/7 (b) −7/9
  30. 30.What is 1/4 − (−1/4)? (a) 1/4 (b) −1/2 (c) 0 (d) 1/2
  31. 31.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  32. 32.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −4/12 (d) −1/3
  33. 33.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −18/24 (d) −4/3
  34. 34.What is (−1/4) − 2/7? (a) 15/28 (b) 1/28 (c) −3/11 (d) −15/28
  35. 35.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −2/16 (d) 1/8
  36. 36.Which is smaller: −4/9 or −4/5? (a) −4/9 (b) −4/5
  37. 37.What is (−1/7) − (−4/5)? (a) −23/35 (b) −33/35 (c) 23/35 (d) 1/4
  38. 38.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −5/8 or 2/9? (a) 2/9 (b) −5/8
  40. 40.What is 2/9 − (−1/6)? (a) 7/18 (b) 1/5 (c) −7/18 (d) 1/18

Answer key

  1. 14/45
  2. −1/3
  3. 1/3
  4. 22/45
  5. −51/40
  6. −4/5
  7. 1/3
  8. Positive
  9. Positive
  10. −3/5
  11. −2
  12. −1/6
  13. 3/4
  14. −7/8
  15. 3/4
  16. −2/5
  17. −11/9
  18. Negative
  19. −2/3
  20. −5/9
  21. −4/63
  22. −3/7
  23. 1/21
  24. 8/5
  25. −1/9
  26. 2/9
  27. 5/4
  28. −2/5
  29. −7/9
  30. 1/2
  31. −2/9
  32. −1/3
  33. −3/4
  34. −15/28
  35. −1/8
  36. −4/5
  37. 23/35
  38. Negative
  39. −5/8
  40. 7/18

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