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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 735 · 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: −5/6 or −1/8? (a) −1/8 (b) −5/6
  2. 2.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −5/7 (c) 5/7 (d) −7/5
  3. 3.What is (−1/5) − 2/3? (a) −3/8 (b) −13/15 (c) 7/15 (d) 13/15
  4. 4.Is −7/4 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −1/5 or −5/7? (a) −1/5 (b) −5/7
  6. 6.What is 5/6 + (−5/8)? (a) 35/24 (b) −5/24 (c) 0 (d) 5/24
  7. 7.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  8. 8.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  11. 11.What is the additive inverse of −5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  12. 12.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−3/5) + 1/4? (a) −2/9 (b) −17/20 (c) 7/20 (d) −7/20
  14. 14.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  15. 15.What is (−3/5) + 3/8? (a) 0 (b) −39/40 (c) 9/40 (d) −9/40
  16. 16.What is (−5/8) + 2/7? (a) 19/56 (b) −1/5 (c) −51/56 (d) −19/56
  17. 17.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −15/25
  18. 18.What is (−1/7) + (−4/7)? (a) −5/14 (b) −5/7 (c) 5/7 (d) 3/7
  19. 19.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −2/5 (d) −5/2
  20. 20.Is 2/7 positive or negative? (a) Positive (b) Negative
  21. 21.Is −8/2 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/9) + (−3/5)? (a) −2/7 (b) −32/45 (c) 32/45 (d) 22/45
  23. 23.Which is bigger: −3/7 or 2/9? (a) 2/9 (b) −3/7
  24. 24.What is (−3/8) − 5/6? (a) 11/24 (b) −4/7 (c) 29/24 (d) −29/24
  25. 25.What is 2/9 − (−3/4)? (a) 35/36 (b) 5/13 (c) −35/36 (d) −19/36
  26. 26.What is 6/7 + (−5/9)? (a) 89/63 (b) −19/63 (c) 1/16 (d) 19/63
  27. 27.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) 2/7 (d) −2/7
  28. 28.Is −8/6 positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  30. 30.Which is bigger: −1/4 or −1/2? (a) −1/4 (b) −1/2
  31. 31.Which is smaller: −1/8 or 2/3? (a) 2/3 (b) −1/8
  32. 32.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  33. 33.What is (−5/9) + 1/9? (a) 4/9 (b) −4/9 (c) −2/9 (d) −2/3
  34. 34.What is (−1/6) − (−1/4)? (a) −1/12 (b) 1/12 (c) −5/12 (d) 0
  35. 35.What is the additive inverse of 7/8? (a) 8/7 (b) −7/8 (c) −8/7 (d) 7/8
  36. 36.What is 2/3 + (−2/5)? (a) 4/15 (b) −4/15 (c) 16/15 (d) 0
  37. 37.What is the additive inverse of −2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  38. 38.What is (−2/5) − 2/7? (a) 24/35 (b) −24/35 (c) −1/3 (d) −4/35
  39. 39.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −5/9 or −4/9? (a) −4/9 (b) −5/9

Answer key

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

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