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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 166 · 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: −5/8 or −1/2? (a) −1/2 (b) −5/8
  2. 2.What is (−4/5) + (−7/9)? (a) 71/45 (b) −1/45 (c) −71/45 (d) −11/14
  3. 3.What is (−2/3) + (−5/9)? (a) −7/12 (b) −1/9 (c) 11/9 (d) −11/9
  4. 4.What is (−4/9) + 2/5? (a) 2/45 (b) −2/45 (c) −38/45 (d) −1/7
  5. 5.Which is bigger: −3/8 or −1/2? (a) −3/8 (b) −1/2
  6. 6.What is (−8/9) + 3/8? (a) 37/72 (b) −5/17 (c) −37/72 (d) −91/72
  7. 7.What is (−7/8) − (−5/8)? (a) 1/4 (b) −3/2 (c) −1/4 (d) −1/8
  8. 8.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  9. 9.What is the additive inverse of 2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  10. 10.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  11. 11.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) 1/4 (c) −1/4 (d) −4/1
  12. 12.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  13. 13.Which is smaller: −1/7 or 3/7? (a) 3/7 (b) −1/7
  14. 14.Which is smaller: −1/4 or −1/9? (a) −1/9 (b) −1/4
  15. 15.What is (−3/5) − 2/3? (a) −5/8 (b) 19/15 (c) 1/15 (d) −19/15
  16. 16.What is the additive inverse of 7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  17. 17.What is (−3/8) + 2/5? (a) 1/40 (b) −1/13 (c) −31/40 (d) −1/40
  18. 18.What is (−2/5) − 4/7? (a) −1/2 (b) −34/35 (c) 34/35 (d) 6/35
  19. 19.Which is bigger: −1/4 or 7/9? (a) −1/4 (b) 7/9
  20. 20.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−2/9) + 1/8? (a) −7/72 (b) 7/72 (c) −25/72 (d) −1/17
  22. 22.What is (−2/5) + 1/2? (a) −1/7 (b) −9/10 (c) 1/10 (d) −1/10
  23. 23.What is 4/7 + (−7/8)? (a) 17/56 (b) 81/56 (c) −1/5 (d) −17/56
  24. 24.Is −7/3 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/8) − (−1/7)? (a) −27/56 (b) −4/15 (c) 27/56 (d) −43/56
  26. 26.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  27. 27.Which is bigger: −6/7 or −5/6? (a) −5/6 (b) −6/7
  28. 28.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  29. 29.Write −10/45 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −10/45 (d) 2/9
  30. 30.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  31. 31.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −3/4 (d) −4/3
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  33. 33.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−2/9) + 3/4? (a) 1/13 (b) −19/36 (c) 19/36 (d) −35/36
  35. 35.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  36. 36.What is (−1/6) + (−2/3)? (a) 5/6 (b) −5/6 (c) −1/3 (d) 1/2
  37. 37.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  38. 38.What is (−1/4) − (−3/8)? (a) 1/6 (b) −1/8 (c) 1/8 (d) −5/8
  39. 39.Write −14/18 in standard form (lowest terms, positive denominator). (a) −14/18 (b) 7/9 (c) −9/7 (d) −7/9
  40. 40.Is 5/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/2
  2. −71/45
  3. −11/9
  4. −2/45
  5. −3/8
  6. −37/72
  7. −1/4
  8. 5/4
  9. −2/9
  10. 5/6
  11. −1/4
  12. −8/5
  13. −1/7
  14. −1/4
  15. −19/15
  16. −7/9
  17. 1/40
  18. −34/35
  19. 7/9
  20. Negative
  21. −7/72
  22. 1/10
  23. −17/56
  24. Negative
  25. −27/56
  26. −3/8
  27. −5/6
  28. Positive
  29. −2/9
  30. Positive
  31. −3/4
  32. 9/8
  33. Negative
  34. 19/36
  35. −4/3
  36. −5/6
  37. −6
  38. 1/8
  39. −7/9
  40. Positive

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