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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 105 · 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 (−2/5) − (−1/6)? (a) −1/11 (b) −7/30 (c) −17/30 (d) 7/30
  2. 2.Is 2/4 positive or negative? (a) Negative (b) Positive
  3. 3.Which is smaller: −5/9 or −3/5? (a) −5/9 (b) −3/5
  4. 4.What is (−3/5) − 5/7? (a) 46/35 (b) −2/3 (c) −46/35 (d) 4/35
  5. 5.What is 2/5 − (−3/5)? (a) 1/2 (b) −1 (c) −1/5 (d) 1
  6. 6.Which is smaller: −4/7 or −2/5? (a) −2/5 (b) −4/7
  7. 7.Which is bigger: −5/6 or −2/7? (a) −2/7 (b) −5/6
  8. 8.What is (−1/7) − (−1/5)? (a) −12/35 (b) −2/35 (c) 2/35 (d) 0
  9. 9.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  10. 10.Which is bigger: −3/4 or −2/7? (a) −3/4 (b) −2/7
  11. 11.What is (−3/4) + 1/9? (a) −31/36 (b) −2/13 (c) −23/36 (d) 23/36
  12. 12.What is (−5/7) − (−3/8)? (a) −61/56 (b) −2/15 (c) 19/56 (d) −19/56
  13. 13.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Is 1/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  16. 16.What is (−1/2) − (−5/7)? (a) −3/14 (b) −17/14 (c) 4/9 (d) 3/14
  17. 17.Which is smaller: −1/3 or 6/7? (a) 6/7 (b) −1/3
  18. 18.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  19. 19.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  20. 20.What is 1/8 − (−1/6)? (a) −1/24 (b) −7/24 (c) 1/7 (d) 7/24
  21. 21.What is 2/7 + (−4/7)? (a) 6/7 (b) 2/7 (c) −2/7 (d) −1/7
  22. 22.Is −2/5 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −1/2 or −2/7? (a) −1/2 (b) −2/7
  24. 24.What is (−3/7) − (−1/8)? (a) −31/56 (b) 17/56 (c) −17/56 (d) −2/15
  25. 25.What is 6/7 + (−2/7)? (a) 4/7 (b) −4/7 (c) 2/7 (d) 8/7
  26. 26.What is (−5/8) + 3/5? (a) 1/40 (b) −1/40 (c) −49/40 (d) −2/13
  27. 27.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −5/1 (d) −1/5
  28. 28.Which is smaller: −3/5 or −8/9? (a) −8/9 (b) −3/5
  29. 29.What is 5/9 + (−1/4)? (a) 4/13 (b) 11/36 (c) 29/36 (d) −11/36
  30. 30.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  31. 31.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −1/6 or 7/9? (a) −1/6 (b) 7/9
  33. 33.What is (−2/7) + (−2/7)? (a) −2/7 (b) 4/7 (c) −4/7 (d) 0
  34. 34.What is (−2/5) − 6/7? (a) −2/3 (b) −44/35 (c) 16/35 (d) 44/35
  35. 35.What is the additive inverse of −4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  36. 36.What is 1/3 + (−3/7)? (a) −2/21 (b) 16/21 (c) 2/21 (d) −1/5
  37. 37.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) 5/6 (d) −5/6
  38. 38.What is (−3/5) + (−2/3)? (a) 1/15 (b) −19/15 (c) −5/8 (d) 19/15
  39. 39.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −1/4 (d) −4/1
  40. 40.Which is smaller: −6/7 or 1/3? (a) −6/7 (b) 1/3

Answer key

  1. −7/30
  2. Positive
  3. −3/5
  4. −46/35
  5. 1
  6. −4/7
  7. −2/7
  8. 2/35
  9. −5/9
  10. −2/7
  11. −23/36
  12. −19/56
  13. Positive
  14. Positive
  15. 3/7
  16. 3/14
  17. −1/3
  18. 7/8
  19. 7/3
  20. 7/24
  21. −2/7
  22. Negative
  23. −1/2
  24. −17/56
  25. 4/7
  26. −1/40
  27. −1/5
  28. −8/9
  29. 11/36
  30. Negative
  31. Positive
  32. 7/9
  33. −4/7
  34. −44/35
  35. 4/7
  36. −2/21
  37. −5/6
  38. −19/15
  39. −1/4
  40. −6/7

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