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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 486 · 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 reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  2. 2.What is the additive inverse of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  3. 3.What is 1/7 − (−4/5)? (a) 33/35 (b) −23/35 (c) 5/12 (d) −33/35
  4. 4.What is the additive inverse of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  5. 5.What is (−1/6) + 1/4? (a) −1/12 (b) 1/12 (c) 0 (d) −5/12
  6. 6.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  7. 7.Which is smaller: −1/4 or −2/7? (a) −2/7 (b) −1/4
  8. 8.What is (−1/8) + (−1/2)? (a) 3/8 (b) −1/5 (c) 5/8 (d) −5/8
  9. 9.What is (−4/7) − (−2/3)? (a) −1/5 (b) −2/21 (c) −26/21 (d) 2/21
  10. 10.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  11. 11.What is (−2/7) + 1/3? (a) −1/10 (b) 1/21 (c) −13/21 (d) −1/21
  12. 12.Which is smaller: −5/8 or −3/4? (a) −5/8 (b) −3/4
  13. 13.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  14. 14.Which is smaller: −1/2 or −4/5? (a) −1/2 (b) −4/5
  15. 15.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −21/27 (d) −9/7
  16. 16.Which is bigger: −2/9 or −5/9? (a) −5/9 (b) −2/9
  17. 17.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  18. 18.What is (−2/5) − 1/3? (a) −11/15 (b) −3/8 (c) −1/15 (d) 11/15
  19. 19.What is 4/9 + (−3/4)? (a) 1/13 (b) 43/36 (c) −11/36 (d) 11/36
  20. 20.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  21. 21.What is the additive inverse of 1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  22. 22.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −28/36 (d) −7/9
  23. 23.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) 7/9 (d) −7/9
  24. 24.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  25. 25.Which is smaller: −1/3 or −1/4? (a) −1/3 (b) −1/4
  26. 26.What is (−1/7) + (−4/5)? (a) 33/35 (b) −33/35 (c) −5/12 (d) 23/35
  27. 27.What is 5/7 − (−5/9)? (a) 10/63 (b) 5/8 (c) 80/63 (d) −80/63
  28. 28.Is 5/4 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −6/7 or −1/9? (a) −6/7 (b) −1/9
  30. 30.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  31. 31.What is the additive inverse of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  32. 32.What is 1/3 + (−6/7)? (a) 11/21 (b) 25/21 (c) −11/21 (d) −1/2
  33. 33.What is 2/7 + (−1/7)? (a) 1/14 (b) −1/7 (c) 1/7 (d) 3/7
  34. 34.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −40/45 (b) −9/8 (c) 8/9 (d) −8/9
  35. 35.What is 2/9 − (−3/4)? (a) −35/36 (b) −19/36 (c) 5/13 (d) 35/36
  36. 36.Which is bigger: −1/4 or −5/7? (a) −5/7 (b) −1/4
  37. 37.What is 1/9 + (−7/8)? (a) 71/72 (b) 55/72 (c) −6/17 (d) −55/72
  38. 38.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) 2/5 (d) −5/2
  39. 39.What is 5/6 − (−3/7)? (a) 17/42 (b) 53/42 (c) 8/13 (d) −53/42
  40. 40.What is (−1/9) − (−3/5)? (a) −32/45 (b) −22/45 (c) 22/45 (d) 1/7

Answer key

  1. 9
  2. −2/3
  3. 33/35
  4. 1/6
  5. 1/12
  6. 3/2
  7. −2/7
  8. −5/8
  9. 2/21
  10. 2/9
  11. 1/21
  12. −3/4
  13. 1/8
  14. −4/5
  15. −7/9
  16. −2/9
  17. −4/7
  18. −11/15
  19. −11/36
  20. −9/8
  21. −1/2
  22. −7/9
  23. −7/9
  24. −1/2
  25. −1/3
  26. −33/35
  27. 80/63
  28. Positive
  29. −6/7
  30. −7/9
  31. −1/8
  32. −11/21
  33. 1/7
  34. −8/9
  35. 35/36
  36. −1/4
  37. −55/72
  38. −2/5
  39. 53/42
  40. 22/45

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