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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 433 · 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 (−5/6) + 3/5? (a) −7/30 (b) −2/11 (c) 7/30 (d) −43/30
  2. 2.Is −6/5 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −1/8 or 5/6? (a) 5/6 (b) −1/8
  4. 4.Which is bigger: −1/9 or −1/5? (a) −1/9 (b) −1/5
  5. 5.Which is smaller: −1/4 or −2/9? (a) −1/4 (b) −2/9
  6. 6.What is 1/2 − (−3/5)? (a) 4/7 (b) 11/10 (c) −1/10 (d) −11/10
  7. 7.Which is bigger: −2/9 or 1/2? (a) −2/9 (b) 1/2
  8. 8.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  9. 9.What is 3/7 − (−2/3)? (a) −23/21 (b) −5/21 (c) 1/2 (d) 23/21
  10. 10.What is (−3/4) + (−5/6)? (a) 19/12 (b) −19/12 (c) −4/5 (d) 1/12
  11. 11.Write −4/32 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −4/32 (d) −1/8
  12. 12.What is (−1/2) − 5/8? (a) 1/8 (b) −9/8 (c) 9/8 (d) −3/5
  13. 13.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  15. 15.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −10/35 (c) 2/7 (d) −7/2
  16. 16.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  17. 17.What is (−1/3) + 5/9? (a) 2/9 (b) −8/9 (c) −2/9 (d) 1/3
  18. 18.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  19. 19.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −2/10
  20. 20.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −2/14 (d) −7/1
  21. 21.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) 1/3 (d) −6/18
  22. 22.What is (−2/5) + (−6/7)? (a) 16/35 (b) −2/3 (c) −44/35 (d) 44/35
  23. 23.Write −6/9 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −6/9 (d) −3/2
  24. 24.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  26. 26.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  27. 27.What is 1/3 − (−8/9)? (a) −11/9 (b) −5/9 (c) 11/9 (d) 3/4
  28. 28.What is 4/9 + (−1/4)? (a) −7/36 (b) 25/36 (c) 3/13 (d) 7/36
  29. 29.What is 5/8 + (−1/9)? (a) −37/72 (b) 4/17 (c) 53/72 (d) 37/72
  30. 30.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  31. 31.What is 5/6 − (−4/9)? (a) −23/18 (b) 3/5 (c) 7/18 (d) 23/18
  32. 32.What is (−2/3) + 1/4? (a) 5/12 (b) −11/12 (c) −1/7 (d) −5/12
  33. 33.Is 7/6 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−8/9) + (−3/4)? (a) −5/36 (b) −11/13 (c) −59/36 (d) 59/36
  35. 35.What is 1/2 + (−2/3)? (a) 7/6 (b) −1/6 (c) 1/6 (d) −1/5
  36. 36.Write −20/28 in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −20/28 (d) −7/5
  37. 37.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  38. 38.What is (−3/4) + 2/3? (a) −1/7 (b) −1/12 (c) −17/12 (d) 1/12
  39. 39.What is (−2/7) + 7/9? (a) −67/63 (b) −31/63 (c) 5/16 (d) 31/63
  40. 40.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −8/9 (d) −9/8

Answer key

  1. −7/30
  2. Negative
  3. 5/6
  4. −1/9
  5. −1/4
  6. 11/10
  7. 1/2
  8. Positive
  9. 23/21
  10. −19/12
  11. −1/8
  12. −9/8
  13. Negative
  14. Negative
  15. −2/7
  16. −2/7
  17. 2/9
  18. −3/5
  19. −1/5
  20. −1/7
  21. −1/3
  22. −44/35
  23. −2/3
  24. Positive
  25. 4
  26. −3
  27. 11/9
  28. 7/36
  29. 37/72
  30. 1/7
  31. 23/18
  32. −5/12
  33. Positive
  34. −59/36
  35. −1/6
  36. −5/7
  37. −1/3
  38. −1/12
  39. 31/63
  40. −8/9

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