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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 414 · 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 the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  2. 2.What is (−5/9) − (−5/9)? (a) 0 (b) −10/9
  3. 3.What is (−7/9) − 4/9? (a) −11/18 (b) −1/3 (c) 11/9 (d) −11/9
  4. 4.Is 1/5 positive or negative? (a) Positive (b) Negative
  5. 5.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −4/8
  6. 6.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −5/20 (d) 1/4
  7. 7.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −10/12 (d) −6/5
  8. 8.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −20/32 (d) 5/8
  9. 9.Which is bigger: −3/5 or −1/5? (a) −3/5 (b) −1/5
  10. 10.Which is smaller: −1/7 or −5/9? (a) −1/7 (b) −5/9
  11. 11.Which is bigger: −1/3 or −3/5? (a) −1/3 (b) −3/5
  12. 12.Is 2/8 positive or negative? (a) Positive (b) Negative
  13. 13.What is 5/9 + (−3/7)? (a) 1/8 (b) −8/63 (c) 8/63 (d) 62/63
  14. 14.What is (−3/8) + 4/7? (a) 11/56 (b) −53/56 (c) −11/56 (d) 1/15
  15. 15.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  16. 16.Which is bigger: −6/7 or −1/7? (a) −6/7 (b) −1/7
  17. 17.Is 8/6 positive or negative? (a) Positive (b) Negative
  18. 18.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) −5/9 (d) 5/9
  19. 19.Which is bigger: −1/2 or −1/7? (a) −1/7 (b) −1/2
  20. 20.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −5/8 or 2/5? (a) 2/5 (b) −5/8
  22. 22.What is (−6/7) − 2/7? (a) 8/7 (b) −8/7 (c) −4/7
  23. 23.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  24. 24.Which is bigger: −4/9 or 1/2? (a) 1/2 (b) −4/9
  25. 25.What is (−1/2) + (−5/7)? (a) 3/14 (b) −17/14 (c) 17/14 (d) −2/3
  26. 26.What is (−3/5) + (−3/4)? (a) −2/3 (b) 27/20 (c) −27/20 (d) 3/20
  27. 27.Write −6/30 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −6/30 (d) 1/5
  28. 28.What is (−5/7) − (−7/9)? (a) −4/63 (b) −94/63 (c) 4/63 (d) 1/8
  29. 29.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  30. 30.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  31. 31.Is −8/5 positive or negative? (a) Negative (b) Positive
  32. 32.Is −3/4 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−3/8) + (−1/5)? (a) −23/40 (b) 23/40 (c) −4/13 (d) −7/40
  34. 34.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.What is 1/6 + (−3/8)? (a) 5/24 (b) −1/7 (c) −5/24 (d) 13/24
  36. 36.What is (−6/7) + (−1/2)? (a) −7/9 (b) −19/14 (c) 19/14 (d) −5/14
  37. 37.Which is bigger: −1/3 or −5/6? (a) −1/3 (b) −5/6
  38. 38.What is (−1/6) − 1/4? (a) 1/12 (b) −1/5 (c) −5/12 (d) 5/12
  39. 39.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  40. 40.What is 1/5 + (−1/6)? (a) 1/30 (b) 0 (c) −1/30 (d) 11/30

Answer key

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

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