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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 600 · 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 smaller: −3/4 or −8/9? (a) −3/4 (b) −8/9
  2. 2.Which is smaller: −1/6 or −3/4? (a) −1/6 (b) −3/4
  3. 3.What is (−2/5) + 5/7? (a) −11/35 (b) −39/35 (c) 1/4 (d) 11/35
  4. 4.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  5. 5.Which is bigger: −5/8 or −3/4? (a) −5/8 (b) −3/4
  6. 6.What is 3/7 + (−2/9)? (a) −13/63 (b) 41/63 (c) 1/16 (d) 13/63
  7. 7.What is 3/5 + (−1/4)? (a) 17/20 (b) −7/20 (c) 7/20 (d) 2/9
  8. 8.What is 7/8 − (−1/7)? (a) −57/56 (b) 57/56 (c) 41/56 (d) 8/15
  9. 9.What is (−1/4) − (−1/5)? (a) −1/20 (b) −9/20 (c) 1/20 (d) 0
  10. 10.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −2/5 or 6/7? (a) −2/5 (b) 6/7
  12. 12.What is (−1/2) − 3/4? (a) −2/3 (b) 5/4 (c) 1/4 (d) −5/4
  13. 13.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  14. 14.What is (−1/6) + (−1/7)? (a) −13/42 (b) −1/42 (c) 13/42 (d) −2/13
  15. 15.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  16. 16.What is 1/5 + (−4/5)? (a) −3/5 (b) −3/10 (c) 3/5 (d) 1
  17. 17.Is −1/4 positive or negative? (a) Positive (b) Negative
  18. 18.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  20. 20.What is (−1/3) + (−7/9)? (a) −10/9 (b) 4/9 (c) 10/9 (d) −2/3
  21. 21.What is (−4/7) − (−3/5)? (a) −41/35 (b) 1/35 (c) −1/35 (d) −1/12
  22. 22.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −3/5 (d) −5/3
  23. 23.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −7/1 (d) −6/42
  24. 24.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −36/42
  25. 25.What is (−7/9) − (−2/5)? (a) −5/14 (b) 17/45 (c) −17/45 (d) −53/45
  26. 26.What is (−4/5) + (−2/5)? (a) −3/5 (b) 6/5 (c) −6/5 (d) −2/5
  27. 27.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  28. 28.Which is bigger: −8/9 or 2/3? (a) −8/9 (b) 2/3
  29. 29.What is (−1/9) + (−4/5)? (a) −5/14 (b) 31/45 (c) 41/45 (d) −41/45
  30. 30.What is (−3/5) − 1/9? (a) −22/45 (b) 32/45 (c) −2/7 (d) −32/45
  31. 31.Is 1/6 positive or negative? (a) Negative (b) Positive
  32. 32.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  34. 34.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  35. 35.Is −7/6 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/6) − 6/7? (a) −43/42 (b) −7/13 (c) 29/42 (d) 43/42
  37. 37.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) −5/9 (d) 5/9
  38. 38.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4
  39. 39.Which is bigger: −3/8 or 4/9? (a) −3/8 (b) 4/9
  40. 40.What is 3/8 − (−2/5)? (a) −1/40 (b) 31/40 (c) 5/13 (d) −31/40

Answer key

  1. −8/9
  2. −3/4
  3. 11/35
  4. −3
  5. −5/8
  6. 13/63
  7. 7/20
  8. 57/56
  9. −1/20
  10. Negative
  11. 6/7
  12. −5/4
  13. −7/8
  14. −13/42
  15. Negative
  16. −3/5
  17. Negative
  18. Positive
  19. −4/5
  20. −10/9
  21. 1/35
  22. −3/5
  23. −1/7
  24. −6/7
  25. −17/45
  26. −6/5
  27. 9/5
  28. 2/3
  29. −41/45
  30. −32/45
  31. Positive
  32. Positive
  33. −8
  34. 2/3
  35. Negative
  36. −43/42
  37. −5/9
  38. 4
  39. 4/9
  40. 31/40

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