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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 34 · 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 (−7/8) + (−7/8)? (a) −7/4 (b) −7/8 (c) 7/4 (d) 0
  2. 2.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  3. 3.Is 6/2 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of −7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  5. 5.What is (−1/2) + (−5/6)? (a) −4/3 (b) 1/3 (c) 4/3 (d) −3/4
  6. 6.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −6/15 (c) 2/5 (d) −2/5
  7. 7.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −24/54 (b) 4/9 (c) −4/9 (d) −9/4
  9. 9.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −20/25 (c) 4/5 (d) −4/5
  10. 10.Which is smaller: −1/2 or −3/4? (a) −3/4 (b) −1/2
  11. 11.Is 3/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is 2/5 + (−1/6)? (a) 17/30 (b) 7/30 (c) −7/30 (d) 1/11
  13. 13.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −3/21 (d) −1/7
  14. 14.What is (−2/9) − 3/8? (a) 11/72 (b) −43/72 (c) −5/17 (d) 43/72
  15. 15.Which is smaller: −5/6 or −1/6? (a) −1/6 (b) −5/6
  16. 16.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −2/7 or 3/4? (a) 3/4 (b) −2/7
  18. 18.Write −5/30 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −5/30 (d) −1/6
  19. 19.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  20. 20.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) 6/7 (d) −6/7
  22. 22.What is the additive inverse of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  23. 23.Write −12/14 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) 6/7 (d) −6/7
  24. 24.What is (−4/7) + (−2/5)? (a) −6/35 (b) −1/2 (c) 34/35 (d) −34/35
  25. 25.What is (−1/5) − (−1/3)? (a) −2/15 (b) 0 (c) −8/15 (d) 2/15
  26. 26.What is (−5/7) + 2/3? (a) 1/21 (b) −3/10 (c) −29/21 (d) −1/21
  27. 27.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  28. 28.What is (−3/4) − 3/4? (a) −3/4 (b) −3/2 (c) 0 (d) 3/2
  29. 29.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) 2/7 (c) −2/7 (d) −7/2
  30. 30.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  31. 31.What is (−4/7) − 1/4? (a) −23/28 (b) −5/11 (c) 23/28 (d) −9/28
  32. 32.Is −2/7 positive or negative? (a) Negative (b) Positive
  33. 33.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) −1/6 (d) 1/6
  34. 34.What is (−4/7) + (−7/8)? (a) 17/56 (b) −81/56 (c) 81/56 (d) −11/15
  35. 35.Is −7/2 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−3/8) − 2/5? (a) 31/40 (b) 1/40 (c) −5/13 (d) −31/40
  37. 37.Is 9/2 positive or negative? (a) Positive (b) Negative
  38. 38.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −15/20
  39. 39.What is 3/5 + (−7/9)? (a) −2/7 (b) 62/45 (c) 8/45 (d) −8/45
  40. 40.What is (−1/3) − 3/7? (a) 16/21 (b) −2/5 (c) 2/21 (d) −16/21

Answer key

  1. −7/4
  2. Positive
  3. Positive
  4. 7/9
  5. −4/3
  6. −2/5
  7. Positive
  8. −4/9
  9. −4/5
  10. −3/4
  11. Positive
  12. 7/30
  13. −1/7
  14. −43/72
  15. −5/6
  16. Positive
  17. 3/4
  18. −1/6
  19. 5/8
  20. Negative
  21. −6/7
  22. 1/7
  23. −6/7
  24. −34/35
  25. 2/15
  26. −1/21
  27. −4/5
  28. −3/2
  29. −2/7
  30. 9/5
  31. −23/28
  32. Negative
  33. −1/6
  34. −81/56
  35. Negative
  36. −31/40
  37. Positive
  38. −3/4
  39. −8/45
  40. −16/21

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