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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 231 · 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 bigger: −6/7 or −4/7? (a) −4/7 (b) −6/7
  2. 2.Is 4/4 positive or negative? (a) Negative (b) Positive
  3. 3.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −4/32
  4. 4.What is (−1/6) − 4/5? (a) 29/30 (b) −5/11 (c) −29/30 (d) 19/30
  5. 5.Which is smaller: −5/7 or −3/4? (a) −3/4 (b) −5/7
  6. 6.Which is smaller: −3/5 or −5/7? (a) −3/5 (b) −5/7
  7. 7.What is 2/3 − (−5/9)? (a) 1/9 (b) −11/9 (c) 7/12 (d) 11/9
  8. 8.Is −1/7 positive or negative? (a) Negative (b) Positive
  9. 9.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −2/8 (b) −4/1 (c) −1/4 (d) 1/4
  10. 10.What is (−7/8) − 1/9? (a) −8/17 (b) 71/72 (c) −55/72 (d) −71/72
  11. 11.What is 1/3 − (−2/3)? (a) −1 (b) 1/2 (c) −1/3 (d) 1
  12. 12.Is 6/9 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −1/5 or −6/7? (a) −6/7 (b) −1/5
  14. 14.What is the additive inverse of −1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  15. 15.Which is bigger: −1/3 or −7/8? (a) −7/8 (b) −1/3
  16. 16.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  17. 17.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  18. 18.What is (−1/3) − 1/4? (a) −1/12 (b) −7/12 (c) 7/12 (d) −2/7
  19. 19.Which is smaller: −1/5 or −1/3? (a) −1/3 (b) −1/5
  20. 20.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  21. 21.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  22. 22.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/9) + (−3/8)? (a) 67/72 (b) −8/17 (c) −67/72 (d) −13/72
  25. 25.Which is bigger: −1/8 or 2/3? (a) 2/3 (b) −1/8
  26. 26.What is (−4/7) + 1/6? (a) 17/42 (b) −3/13 (c) −17/42 (d) −31/42
  27. 27.What is 4/7 − (−7/9)? (a) 11/16 (b) 85/63 (c) −13/63 (d) −85/63
  28. 28.What is (−7/9) + (−2/5)? (a) −17/45 (b) 53/45 (c) −53/45 (d) −9/14
  29. 29.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 3/8 (c) −8/3 (d) 8/3
  30. 30.Write −35/40 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −35/40 (c) 7/8 (d) −8/7
  31. 31.What is (−2/9) − 5/6? (a) 19/18 (b) 11/18 (c) −19/18 (d) −7/15
  32. 32.What is (−6/7) − 2/5? (a) −2/3 (b) 44/35 (c) −16/35 (d) −44/35
  33. 33.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  34. 34.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −9/8 (c) −8/9 (d) 8/9
  35. 35.What is (−5/8) − (−1/2)? (a) −1/8 (b) −9/8 (c) −2/5 (d) 1/8
  36. 36.What is (−5/9) + 5/8? (a) −85/72 (b) −5/72 (c) 5/72 (d) 0
  37. 37.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  38. 38.What is (−1/3) + 4/9? (a) −7/9 (b) 1/4 (c) −1/9 (d) 1/9
  39. 39.Which is smaller: −2/3 or −1/4? (a) −1/4 (b) −2/3
  40. 40.What is (−3/7) + (−1/6)? (a) −4/13 (b) −25/42 (c) 25/42 (d) −11/42

Answer key

  1. −4/7
  2. Positive
  3. −1/8
  4. −29/30
  5. −3/4
  6. −5/7
  7. 11/9
  8. Negative
  9. −1/4
  10. −71/72
  11. 1
  12. Positive
  13. −1/5
  14. 1/3
  15. −1/3
  16. 9
  17. 6
  18. −7/12
  19. −1/3
  20. 1/2
  21. 7/4
  22. Positive
  23. Positive
  24. −67/72
  25. 2/3
  26. −17/42
  27. 85/63
  28. −53/45
  29. 8/3
  30. −7/8
  31. −19/18
  32. −44/35
  33. −1/2
  34. −8/9
  35. −1/8
  36. 5/72
  37. −6
  38. 1/9
  39. −2/3
  40. −25/42

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