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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 933 · 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.Is −8/2 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5
  3. 3.Which is smaller: −4/5 or 1/3? (a) −4/5 (b) 1/3
  4. 4.What is 5/8 − (−1/9)? (a) 37/72 (b) −53/72 (c) 6/17 (d) 53/72
  5. 5.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) 3/8 (c) −8/3 (d) −3/8
  6. 6.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  7. 7.What is (−5/6) + 1/5? (a) −4/11 (b) −31/30 (c) −19/30 (d) 19/30
  8. 8.What is (−2/5) − (−5/6)? (a) 3/11 (b) 13/30 (c) −37/30 (d) −13/30
  9. 9.What is (−3/7) − (−2/5)? (a) 1/35 (b) −1/35 (c) −29/35 (d) −1/12
  10. 10.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  11. 11.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −2/10
  12. 12.Write −8/10 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −8/10 (d) 4/5
  13. 13.What is the additive inverse of −2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  14. 14.What is (−3/4) − (−4/7)? (a) 5/28 (b) −37/28 (c) −5/28 (d) 1/11
  15. 15.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −20/36 (c) 5/9 (d) −5/9
  16. 16.What is (−2/3) − 8/9? (a) 2/9 (b) 14/9 (c) −5/6 (d) −14/9
  17. 17.What is (−3/8) − (−4/5)? (a) −17/40 (b) −47/40 (c) 1/13 (d) 17/40
  18. 18.Write −9/21 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −9/21 (d) −7/3
  19. 19.What is 1/8 + (−2/7)? (a) 9/56 (b) −9/56 (c) 23/56 (d) −1/15
  20. 20.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −5/45 (b) 1/9 (c) −1/9 (d) −9/1
  21. 21.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) −1/7 (c) −7/1 (d) 1/7
  22. 22.Is −8/8 positive or negative? (a) Negative (b) Positive
  23. 23.What is 1/2 − (−1/4)? (a) 1/4 (b) 3/4 (c) −3/4 (d) 1/3
  24. 24.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  25. 25.What is (−2/5) − 1/5? (a) −1/5 (b) 3/5 (c) −3/10 (d) −3/5
  26. 26.Is 3/2 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  28. 28.What is (−4/7) + (−7/9)? (a) −11/16 (b) 85/63 (c) −85/63 (d) 13/63
  29. 29.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  30. 30.Which is bigger: −3/7 or 6/7? (a) 6/7 (b) −3/7
  31. 31.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.Is 8/7 positive or negative? (a) Negative (b) Positive
  33. 33.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Which is smaller: −3/5 or 3/8? (a) −3/5 (b) 3/8
  35. 35.What is (−5/9) + 3/7? (a) −62/63 (b) −1/8 (c) 8/63 (d) −8/63
  36. 36.Is 4/3 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −3/7 or 2/5? (a) −3/7 (b) 2/5
  38. 38.Which is smaller: −8/9 or −5/9? (a) −5/9 (b) −8/9
  39. 39.Which is bigger: −1/8 or 3/4? (a) −1/8 (b) 3/4
  40. 40.What is (−7/8) + 3/4? (a) −1/3 (b) −1/8 (c) 1/8 (d) −13/8

Answer key

  1. Negative
  2. −2/5
  3. −4/5
  4. 53/72
  5. −3/8
  6. −2/7
  7. −19/30
  8. 13/30
  9. −1/35
  10. −4/3
  11. −1/5
  12. −4/5
  13. 2/9
  14. −5/28
  15. −5/9
  16. −14/9
  17. 17/40
  18. −3/7
  19. −9/56
  20. −1/9
  21. −1/7
  22. Negative
  23. 3/4
  24. −7/3
  25. −3/5
  26. Positive
  27. −1/6
  28. −85/63
  29. −1/7
  30. 6/7
  31. Positive
  32. Positive
  33. Positive
  34. −3/5
  35. −8/63
  36. Positive
  37. −3/7
  38. −8/9
  39. 3/4
  40. −1/8

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