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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 755 · 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 (−5/9) + 1/2? (a) −4/11 (b) −19/18 (c) 1/18 (d) −1/18
  2. 2.Which is smaller: −5/9 or −1/7? (a) −1/7 (b) −5/9
  3. 3.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) −3/1 (c) 1/3 (d) −1/3
  4. 4.Is 8/8 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−7/9) + 2/5? (a) 17/45 (b) −5/14 (c) −17/45 (d) −53/45
  6. 6.What is the additive inverse of −5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  7. 7.Is 8/2 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/3) − (−7/8)? (a) −13/24 (b) 13/24 (c) −29/24 (d) 6/11
  9. 9.Which is smaller: −1/2 or 4/9? (a) −1/2 (b) 4/9
  10. 10.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  11. 11.What is (−1/6) − 6/7? (a) −43/42 (b) −7/13 (c) 43/42 (d) 29/42
  12. 12.What is (−5/7) − 3/8? (a) −61/56 (b) −19/56 (c) 61/56 (d) −8/15
  13. 13.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  14. 14.What is 5/9 − (−1/7)? (a) −44/63 (b) 44/63 (c) 26/63 (d) 3/8
  15. 15.What is 3/4 + (−3/8)? (a) 9/8 (b) 3/8 (c) −3/8 (d) 0
  16. 16.Write −20/32 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −20/32 (d) −8/5
  17. 17.What is (−1/4) − (−1/3)? (a) 1/12 (b) −1/12 (c) 0 (d) −7/12
  18. 18.What is 5/7 + (−1/2)? (a) −3/14 (b) 3/14 (c) 17/14 (d) 4/9
  19. 19.Write −18/48 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −18/48 (d) −3/8
  20. 20.Which is smaller: −1/7 or −7/9? (a) −1/7 (b) −7/9
  21. 21.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  22. 22.Which is bigger: −1/5 or −5/8? (a) −5/8 (b) −1/5
  23. 23.What is (−5/9) − 3/7? (a) −1/2 (b) −62/63 (c) 62/63 (d) −8/63
  24. 24.Which is smaller: −2/3 or −4/7? (a) −2/3 (b) −4/7
  25. 25.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −2/6
  26. 26.What is the additive inverse of −1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  27. 27.Which is smaller: −3/8 or −3/7? (a) −3/7 (b) −3/8
  28. 28.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  29. 29.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  30. 30.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −15/25 (d) −5/3
  31. 31.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  32. 32.What is 3/4 + (−5/7)? (a) −2/11 (b) 41/28 (c) −1/28 (d) 1/28
  33. 33.What is 1/8 + (−2/7)? (a) 23/56 (b) −1/15 (c) 9/56 (d) −9/56
  34. 34.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  35. 35.What is (−1/5) − 5/7? (a) 18/35 (b) −1/2 (c) 32/35 (d) −32/35
  36. 36.Is 9/5 positive or negative? (a) Positive (b) Negative
  37. 37.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  38. 38.Is −2/4 positive or negative? (a) Negative (b) Positive
  39. 39.What is 7/8 − (−3/5)? (a) 11/40 (b) 10/13 (c) 59/40 (d) −59/40
  40. 40.Which is smaller: −1/4 or 5/9? (a) 5/9 (b) −1/4

Answer key

  1. −1/18
  2. −5/9
  3. −1/3
  4. Positive
  5. −17/45
  6. 5/9
  7. Positive
  8. 13/24
  9. −1/2
  10. −7/2
  11. −43/42
  12. −61/56
  13. −8/5
  14. 44/63
  15. 3/8
  16. −5/8
  17. 1/12
  18. 3/14
  19. −3/8
  20. −7/9
  21. −4
  22. −1/5
  23. −62/63
  24. −2/3
  25. −1/3
  26. 1/8
  27. −3/7
  28. 7/9
  29. −4/3
  30. −3/5
  31. Negative
  32. 1/28
  33. −9/56
  34. 3/4
  35. −32/35
  36. Positive
  37. Positive
  38. Negative
  39. 59/40
  40. −1/4

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