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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 736 · 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.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.What is 2/3 + (−2/9)? (a) 0 (b) 8/9 (c) 4/9 (d) −4/9
  3. 3.What is the additive inverse of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  4. 4.What is the additive inverse of 6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  5. 5.Which is smaller: −7/9 or −3/4? (a) −3/4 (b) −7/9
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  7. 7.What is 4/7 + (−2/5)? (a) 34/35 (b) −6/35 (c) 1/6 (d) 6/35
  8. 8.What is (−1/4) − (−4/7)? (a) 3/11 (b) −9/28 (c) −23/28 (d) 9/28
  9. 9.Which is bigger: −1/9 or 2/5? (a) −1/9 (b) 2/5
  10. 10.What is (−5/7) + 4/9? (a) −17/63 (b) −73/63 (c) −1/16 (d) 17/63
  11. 11.Is −6/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−5/9) + (−5/8)? (a) −85/72 (b) −10/17 (c) 5/72 (d) 85/72
  13. 13.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) 1/9 (c) −1/9 (d) −9/1
  14. 14.Is 6/9 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  16. 16.Which is smaller: −1/2 or −8/9? (a) −8/9 (b) −1/2
  17. 17.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −30/35
  18. 18.Which is bigger: −5/8 or −4/7? (a) −5/8 (b) −4/7
  19. 19.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−4/9) + 1/4? (a) −3/13 (b) 7/36 (c) −7/36 (d) −25/36
  21. 21.Write −4/24 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −4/24 (c) −6/1 (d) 1/6
  22. 22.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −5/45 (d) −1/9
  23. 23.Which is bigger: −5/6 or 8/9? (a) −5/6 (b) 8/9
  24. 24.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  25. 25.What is (−5/9) + (−7/8)? (a) −12/17 (b) −103/72 (c) 103/72 (d) 23/72
  26. 26.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  27. 27.Is −8/2 positive or negative? (a) Negative (b) Positive
  28. 28.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.What is 4/9 + (−3/4)? (a) 11/36 (b) 1/13 (c) −11/36 (d) 43/36
  30. 30.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −12/18
  31. 31.What is 1/4 − (−4/9)? (a) 25/36 (b) 5/13 (c) −7/36 (d) −25/36
  32. 32.What is 1/8 + (−2/7)? (a) 9/56 (b) −9/56 (c) 23/56 (d) −1/15
  33. 33.Write −20/25 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −20/25 (d) −4/5
  34. 34.Which is smaller: −7/8 or −3/7? (a) −7/8 (b) −3/7
  35. 35.What is 1/2 + (−1/2)? (a) 1 (b) 0
  36. 36.What is the additive inverse of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  37. 37.What is 5/9 − (−7/9)? (a) 4/3 (b) −4/3 (c) 2/3 (d) −2/9
  38. 38.What is 2/5 + (−7/8)? (a) 19/40 (b) −5/13 (c) 51/40 (d) −19/40
  39. 39.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −16/18 (c) 8/9 (d) −8/9
  40. 40.Which is smaller: −8/9 or −2/7? (a) −8/9 (b) −2/7

Answer key

  1. Positive
  2. 4/9
  3. −5/8
  4. −6/7
  5. −7/9
  6. −3
  7. 6/35
  8. 9/28
  9. 2/5
  10. −17/63
  11. Negative
  12. −85/72
  13. −1/9
  14. Positive
  15. 2/9
  16. −8/9
  17. −6/7
  18. −4/7
  19. Negative
  20. −7/36
  21. −1/6
  22. −1/9
  23. 8/9
  24. −5/2
  25. −103/72
  26. Negative
  27. Negative
  28. Negative
  29. −11/36
  30. −2/3
  31. 25/36
  32. −9/56
  33. −4/5
  34. −7/8
  35. 0
  36. −7/9
  37. 4/3
  38. −19/40
  39. −8/9
  40. −8/9

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