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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 65 · 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.Which is bigger: −1/2 or −1/6? (a) −1/2 (b) −1/6
  2. 2.Which is smaller: −6/7 or −3/5? (a) −6/7 (b) −3/5
  3. 3.Which is smaller: −2/9 or −7/9? (a) −7/9 (b) −2/9
  4. 4.What is (−5/7) + 2/5? (a) −1/4 (b) −39/35 (c) −11/35 (d) 11/35
  5. 5.Is 7/7 positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  7. 7.What is (−2/7) + (−2/3)? (a) 8/21 (b) −20/21 (c) −2/5 (d) 20/21
  8. 8.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  9. 9.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  10. 10.Which is smaller: −1/9 or −7/8? (a) −1/9 (b) −7/8
  11. 11.What is (−8/9) − 4/9? (a) −4/3 (b) 4/3 (c) −2/3 (d) −4/9
  12. 12.What is 5/7 − (−1/5)? (a) 1/2 (b) 18/35 (c) −32/35 (d) 32/35
  13. 13.Is −2/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−7/9) + 1/4? (a) −19/36 (b) −37/36 (c) 19/36 (d) −6/13
  15. 15.What is 2/5 + (−1/4)? (a) 3/20 (b) 13/20 (c) 1/9 (d) −3/20
  16. 16.Which is bigger: −4/5 or −6/7? (a) −6/7 (b) −4/5
  17. 17.What is the additive inverse of 3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  18. 18.What is (−1/9) + 3/5? (a) −22/45 (b) 22/45 (c) 1/7 (d) −32/45
  19. 19.Is −7/9 positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −1/4 or 1/9? (a) 1/9 (b) −1/4
  21. 21.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  22. 22.What is (−2/9) − 1/3? (a) −1/4 (b) 1/9 (c) 5/9 (d) −5/9
  23. 23.Which is smaller: −3/8 or −1/8? (a) −1/8 (b) −3/8
  24. 24.What is (−1/3) − 1/3? (a) 0 (b) −2/3 (c) 2/3 (d) −1/3
  25. 25.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  26. 26.Which is bigger: −4/7 or 5/9? (a) 5/9 (b) −4/7
  27. 27.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  28. 28.What is 7/8 + (−1/7)? (a) −41/56 (b) 57/56 (c) 41/56 (d) 2/5
  29. 29.What is (−1/8) + 5/6? (a) 2/7 (b) −23/24 (c) −17/24 (d) 17/24
  30. 30.Which is bigger: −4/9 or 2/3? (a) −4/9 (b) 2/3
  31. 31.Is −1/9 positive or negative? (a) Negative (b) Positive
  32. 32.Is 1/6 positive or negative? (a) Negative (b) Positive
  33. 33.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −8/9 (d) −9/8
  34. 34.Which is smaller: −4/9 or −8/9? (a) −4/9 (b) −8/9
  35. 35.What is (−1/4) − 1/7? (a) −2/11 (b) 11/28 (c) −11/28 (d) −3/28
  36. 36.Write −5/30 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −5/30 (c) −1/6 (d) −6/1
  37. 37.Is 1/2 positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −5/9 or −6/7? (a) −6/7 (b) −5/9
  39. 39.What is 1/4 + (−7/9)? (a) −6/13 (b) −19/36 (c) 37/36 (d) 19/36
  40. 40.What is 7/9 − (−1/3)? (a) 2/3 (b) 10/9 (c) 4/9 (d) −10/9

Answer key

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

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