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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 681 · 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 (−1/9) − 1/5? (a) 14/45 (b) −14/45 (c) −1/7 (d) 4/45
  2. 2.What is (−1/4) + 1/5? (a) −1/20 (b) 0 (c) −9/20 (d) 1/20
  3. 3.Which is smaller: −5/9 or −6/7? (a) −6/7 (b) −5/9
  4. 4.What is (−5/7) + 3/8? (a) 19/56 (b) −2/15 (c) −61/56 (d) −19/56
  5. 5.Which is bigger: −3/4 or −7/9? (a) −7/9 (b) −3/4
  6. 6.Is 3/9 positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  8. 8.Which is smaller: −3/4 or −6/7? (a) −6/7 (b) −3/4
  9. 9.What is 3/8 − (−2/5)? (a) −1/40 (b) 5/13 (c) 31/40 (d) −31/40
  10. 10.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  11. 11.What is (−5/8) + (−3/4)? (a) 11/8 (b) 1/8 (c) −11/8 (d) −2/3
  12. 12.What is (−3/4) − 2/9? (a) −5/13 (b) −19/36 (c) 35/36 (d) −35/36
  13. 13.What is 5/9 − (−5/9)? (a) −10/9 (b) 10/9 (c) 5/9 (d) 0
  14. 14.Which is bigger: −5/6 or −7/8? (a) −7/8 (b) −5/6
  15. 15.What is 3/7 − (−1/8)? (a) 17/56 (b) 31/56 (c) 4/15 (d) −31/56
  16. 16.What is the additive inverse of −1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  17. 17.What is (−1/2) − (−7/9)? (a) −5/18 (b) −23/18 (c) 6/11 (d) 5/18
  18. 18.What is 7/8 + (−1/3)? (a) 6/11 (b) −13/24 (c) 13/24 (d) 29/24
  19. 19.What is the additive inverse of 8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  20. 20.What is (−8/9) + 1/6? (a) −19/18 (b) −7/15 (c) 13/18 (d) −13/18
  21. 21.What is 7/9 − (−1/9)? (a) 4/9 (b) 8/9 (c) −8/9 (d) 2/3
  22. 22.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  23. 23.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −3/4 (d) −4/3
  24. 24.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −4/10
  25. 25.Which is bigger: −6/7 or −5/8? (a) −5/8 (b) −6/7
  26. 26.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  27. 27.Which is smaller: −1/8 or −2/3? (a) −1/8 (b) −2/3
  28. 28.What is 2/5 + (−1/7)? (a) 9/35 (b) −9/35 (c) 19/35 (d) 1/12
  29. 29.Which is smaller: −1/4 or −1/8? (a) −1/8 (b) −1/4
  30. 30.Which is smaller: −5/9 or −3/5? (a) −3/5 (b) −5/9
  31. 31.Which is bigger: −1/8 or −1/4? (a) −1/8 (b) −1/4
  32. 32.Is −7/2 positive or negative? (a) Negative (b) Positive
  33. 33.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−5/6) − (−7/8)? (a) −41/24 (b) 1/7 (c) 1/24 (d) −1/24
  36. 36.What is (−5/7) − 4/5? (a) −53/35 (b) 3/35 (c) −3/4 (d) 53/35
  37. 37.What is (−4/9) + (−4/9)? (a) 0 (b) −4/9 (c) −8/9 (d) 8/9
  38. 38.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −21/27 (c) 7/9 (d) −7/9
  39. 39.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  40. 40.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −20/36 (d) 5/9

Answer key

  1. −14/45
  2. −1/20
  3. −6/7
  4. −19/56
  5. −3/4
  6. Positive
  7. 3
  8. −6/7
  9. 31/40
  10. −7/2
  11. −11/8
  12. −35/36
  13. 10/9
  14. −5/6
  15. 31/56
  16. 1/9
  17. 5/18
  18. 13/24
  19. −8/9
  20. −13/18
  21. 8/9
  22. −7/5
  23. −3/4
  24. −2/5
  25. −5/8
  26. −1/6
  27. −2/3
  28. 9/35
  29. −1/4
  30. −3/5
  31. −1/8
  32. Negative
  33. Negative
  34. Negative
  35. 1/24
  36. −53/35
  37. −8/9
  38. −7/9
  39. −1/2
  40. −5/9

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