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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 854 · 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 (−4/9) − (−7/8)? (a) −31/72 (b) 3/17 (c) 31/72 (d) −95/72
  2. 2.What is (−8/9) − 3/5? (a) −67/45 (b) 67/45 (c) −11/14 (d) −13/45
  3. 3.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  4. 4.What is (−3/5) + 3/5? (a) 0 (b) −6/5
  5. 5.Write −10/45 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −10/45
  6. 6.What is (−3/8) − (−6/7)? (a) −27/56 (b) −69/56 (c) 27/56 (d) 1/5
  7. 7.What is (−5/6) + (−3/7)? (a) −8/13 (b) −53/42 (c) 53/42 (d) −17/42
  8. 8.What is 5/6 + (−3/7)? (a) 2/13 (b) −17/42 (c) 17/42 (d) 53/42
  9. 9.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  10. 10.Which is bigger: −1/7 or −2/3? (a) −1/7 (b) −2/3
  11. 11.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −6/5 (d) −5/6
  12. 12.What is 1/7 + (−4/9)? (a) −19/63 (b) 37/63 (c) −3/16 (d) 19/63
  13. 13.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  15. 15.What is the additive inverse of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  16. 16.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −3/24 (c) −1/8 (d) 1/8
  17. 17.Write −25/35 in standard form (lowest terms, positive denominator). (a) −25/35 (b) 5/7 (c) −5/7 (d) −7/5
  18. 18.What is 1/5 − (−3/5)? (a) −2/5 (b) −4/5 (c) 2/5 (d) 4/5
  19. 19.What is (−5/7) + (−8/9)? (a) 11/63 (b) −101/63 (c) 101/63 (d) −13/16
  20. 20.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  21. 21.Which is smaller: −1/3 or −3/7? (a) −1/3 (b) −3/7
  22. 22.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  23. 23.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −3/1 (d) −1/3
  24. 24.Is 4/7 positive or negative? (a) Negative (b) Positive
  25. 25.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  26. 26.What is the additive inverse of −1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  27. 27.What is (−3/5) + (−4/5)? (a) −7/10 (b) 1/5 (c) −7/5 (d) 7/5
  28. 28.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −10/35 (d) −7/2
  29. 29.Is −7/3 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−5/7) + 1/9? (a) −52/63 (b) 38/63 (c) −38/63 (d) −1/4
  31. 31.What is 3/8 − (−1/9)? (a) −35/72 (b) 35/72 (c) 4/17 (d) 19/72
  32. 32.What is (−3/7) − (−3/4)? (a) 9/28 (b) −33/28 (c) 0 (d) −9/28
  33. 33.Is −4/2 positive or negative? (a) Positive (b) Negative
  34. 34.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −9/7 (d) −7/9
  35. 35.Which is bigger: −2/5 or 3/4? (a) −2/5 (b) 3/4
  36. 36.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  37. 37.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −12/20
  38. 38.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −5/7 or 7/9? (a) −5/7 (b) 7/9
  40. 40.What is (−6/7) − 1/9? (a) 61/63 (b) −7/16 (c) −47/63 (d) −61/63

Answer key

  1. 31/72
  2. −67/45
  3. 7/4
  4. 0
  5. −2/9
  6. 27/56
  7. −53/42
  8. 17/42
  9. −3/2
  10. −1/7
  11. −5/6
  12. −19/63
  13. Positive
  14. 6/5
  15. −2/3
  16. −1/8
  17. −5/7
  18. 4/5
  19. −101/63
  20. −1/4
  21. −3/7
  22. Positive
  23. −1/3
  24. Positive
  25. −4/5
  26. 1/8
  27. −7/5
  28. −2/7
  29. Negative
  30. −38/63
  31. 35/72
  32. 9/28
  33. Negative
  34. −7/9
  35. 3/4
  36. 5/9
  37. −3/5
  38. Negative
  39. 7/9
  40. −61/63

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