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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 865 · 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 (−6/7) + (−6/7)? (a) 0 (b) −12/7 (c) −6/7 (d) 12/7
  2. 2.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −9/12 (c) 3/4 (d) −3/4
  3. 3.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  4. 4.Write −6/21 in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −6/21 (d) −2/7
  5. 5.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −3/4 or −1/4? (a) −1/4 (b) −3/4
  7. 7.What is 2/5 − (−3/5)? (a) −1 (b) −1/5 (c) 1/2 (d) 1
  8. 8.What is 2/5 − (−4/7)? (a) −34/35 (b) 1/2 (c) −6/35 (d) 34/35
  9. 9.What is (−1/9) − 1/3? (a) 2/9 (b) 4/9 (c) −1/6 (d) −4/9
  10. 10.What is (−5/9) + 2/5? (a) 7/45 (b) −7/45 (c) −3/14 (d) −43/45
  11. 11.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −18/21 (d) −7/6
  12. 12.What is 5/7 − (−4/5)? (a) 53/35 (b) −53/35 (c) −3/35 (d) 3/4
  13. 13.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −6/1 (c) 1/6 (d) −1/6
  14. 14.What is the additive inverse of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  15. 15.Which is bigger: −5/9 or −2/7? (a) −2/7 (b) −5/9
  16. 16.What is (−3/7) + (−1/7)? (a) −2/7 (b) −4/7 (c) 4/7
  17. 17.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  18. 18.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  20. 20.Which is bigger: −2/3 or 1/4? (a) −2/3 (b) 1/4
  21. 21.Is 9/5 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−2/9) + 4/9? (a) −2/9 (b) −2/3 (c) 2/9 (d) 1/9
  23. 23.What is 3/5 + (−1/2)? (a) 2/7 (b) 11/10 (c) −1/10 (d) 1/10
  24. 24.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−8/9) + 5/6? (a) −1/18 (b) 1/18 (c) −1/5 (d) −31/18
  26. 26.What is (−6/7) + (−1/7)? (a) −1/2 (b) 1 (c) −5/7 (d) −1
  27. 27.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  29. 29.What is 5/9 + (−1/2)? (a) −1/18 (b) 4/11 (c) 19/18 (d) 1/18
  30. 30.What is (−6/7) + (−7/9)? (a) −5/63 (b) −13/16 (c) −103/63 (d) 103/63
  31. 31.Is 6/8 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −1/7 or 3/4? (a) 3/4 (b) −1/7
  33. 33.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) 5/7 (c) −5/7 (d) −7/5
  34. 34.Is 6/2 positive or negative? (a) Positive (b) Negative
  35. 35.What is 5/9 + (−5/7)? (a) 10/63 (b) 80/63 (c) −10/63 (d) 0
  36. 36.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  38. 38.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −7/3 (c) −3/7 (d) 7/3
  40. 40.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −24/28

Answer key

  1. −12/7
  2. −3/4
  3. Negative
  4. −2/7
  5. Positive
  6. −3/4
  7. 1
  8. 34/35
  9. −4/9
  10. −7/45
  11. −6/7
  12. 53/35
  13. −1/6
  14. −1/8
  15. −2/7
  16. −4/7
  17. −1/3
  18. Negative
  19. 5/4
  20. 1/4
  21. Positive
  22. 2/9
  23. 1/10
  24. Positive
  25. −1/18
  26. −1
  27. Negative
  28. 2/3
  29. 1/18
  30. −103/63
  31. Positive
  32. −1/7
  33. −5/7
  34. Positive
  35. −10/63
  36. Negative
  37. −9/5
  38. Positive
  39. 7/3
  40. −6/7

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