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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 84 · 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 (−2/7) + (−3/8)? (a) 37/56 (b) −1/3 (c) 5/56 (d) −37/56
  2. 2.Which is bigger: −6/7 or 3/7? (a) −6/7 (b) 3/7
  3. 3.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −21/27 (d) −7/9
  4. 4.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  5. 5.What is (−2/5) + (−4/7)? (a) −34/35 (b) 34/35 (c) 6/35 (d) −1/2
  6. 6.Is 3/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is 1/3 − (−3/5)? (a) 14/15 (b) −4/15 (c) 1/2 (d) −14/15
  8. 8.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  9. 9.What is (−2/3) + 1/5? (a) −1/8 (b) 7/15 (c) −7/15 (d) −13/15
  10. 10.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) 7/9 (d) −7/9
  11. 11.What is (−2/7) + 1/3? (a) −13/21 (b) −1/10 (c) −1/21 (d) 1/21
  12. 12.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −1/2 or 5/7? (a) 5/7 (b) −1/2
  14. 14.Which is bigger: −5/8 or −1/8? (a) −1/8 (b) −5/8
  15. 15.Is 2/3 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−5/6) − (−1/3)? (a) −1/2 (b) −4/9 (c) −7/6 (d) 1/2
  17. 17.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  18. 18.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −20/24 (d) −5/6
  19. 19.What is (−1/2) + (−4/9)? (a) 17/18 (b) −1/18 (c) −5/11 (d) −17/18
  20. 20.Which is bigger: −5/9 or 1/2? (a) 1/2 (b) −5/9
  21. 21.Which is smaller: −4/9 or 1/3? (a) 1/3 (b) −4/9
  22. 22.What is 5/9 − (−7/8)? (a) 12/17 (b) −23/72 (c) −103/72 (d) 103/72
  23. 23.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −14/16 (b) 7/8 (c) −7/8 (d) −8/7
  24. 24.Which is bigger: −8/9 or 3/8? (a) −8/9 (b) 3/8
  25. 25.Is 5/3 positive or negative? (a) Positive (b) Negative
  26. 26.What is 6/7 − (−3/5)? (a) −51/35 (b) 9/35 (c) 51/35 (d) 3/4
  27. 27.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 8/9 (c) −8/9 (d) 9/8
  28. 28.Which is bigger: −4/7 or −7/8? (a) −7/8 (b) −4/7
  29. 29.Write −20/36 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −20/36 (c) 5/9 (d) −9/5
  30. 30.Is 7/2 positive or negative? (a) Negative (b) Positive
  31. 31.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  32. 32.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  33. 33.Is 2/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−5/8) + 4/9? (a) −77/72 (b) −13/72 (c) −1/17 (d) 13/72
  35. 35.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −4/5 (d) −5/4
  36. 36.What is 1/3 − (−1/4)? (a) 1/12 (b) 2/7 (c) 7/12 (d) −7/12
  37. 37.What is (−4/7) + 5/6? (a) −11/42 (b) 11/42 (c) −59/42 (d) 1/13
  38. 38.What is (−7/8) − 3/7? (a) −25/56 (b) −73/56 (c) −2/3 (d) 73/56
  39. 39.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  40. 40.Is 1/4 positive or negative? (a) Negative (b) Positive

Answer key

  1. −37/56
  2. 3/7
  3. −7/9
  4. 4/3
  5. −34/35
  6. Positive
  7. 14/15
  8. 9/7
  9. −7/15
  10. −7/9
  11. 1/21
  12. Positive
  13. −1/2
  14. −1/8
  15. Positive
  16. −1/2
  17. 2
  18. −5/6
  19. −17/18
  20. 1/2
  21. −4/9
  22. 103/72
  23. −7/8
  24. 3/8
  25. Positive
  26. 51/35
  27. −9/8
  28. −4/7
  29. −5/9
  30. Positive
  31. Negative
  32. Negative
  33. Positive
  34. −13/72
  35. −4/5
  36. 7/12
  37. 11/42
  38. −73/56
  39. −3/2
  40. Positive

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