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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 62 · 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 (−7/9) − 1/9? (a) 8/9 (b) −2/3 (c) −4/9 (d) −8/9
  2. 2.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −8/36
  3. 3.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  4. 4.Write −20/35 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −20/35
  5. 5.Is 8/7 positive or negative? (a) Positive (b) Negative
  6. 6.Is 9/7 positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −1/5 or −1/8? (a) −1/5 (b) −1/8
  8. 8.What is (−1/2) + (−3/8)? (a) −1/8 (b) −7/8 (c) −2/5 (d) 7/8
  9. 9.What is (−8/9) − 1/3? (a) −11/9 (b) −5/9 (c) 11/9 (d) −3/4
  10. 10.Which is smaller: −1/4 or 3/4? (a) −1/4 (b) 3/4
  11. 11.What is (−6/7) + (−3/5)? (a) −3/4 (b) −51/35 (c) −9/35 (d) 51/35
  12. 12.Which is bigger: −2/5 or −5/7? (a) −2/5 (b) −5/7
  13. 13.What is (−2/9) + (−1/6)? (a) 7/18 (b) −1/5 (c) −1/18 (d) −7/18
  14. 14.What is 1/8 − (−4/5)? (a) −27/40 (b) 37/40 (c) −37/40 (d) 5/13
  15. 15.Is −1/6 positive or negative? (a) Positive (b) Negative
  16. 16.Is 9/6 positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −7/9 or 1/4? (a) −7/9 (b) 1/4
  18. 18.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) −4/5 (c) −5/4 (d) 4/5
  19. 19.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  20. 20.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  21. 21.What is (−4/7) + (−1/9)? (a) 43/63 (b) −29/63 (c) −5/16 (d) −43/63
  22. 22.What is 3/4 + (−1/6)? (a) 1/5 (b) 11/12 (c) −7/12 (d) 7/12
  23. 23.Is −6/9 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/8 or −5/7? (a) −5/8 (b) −5/7
  25. 25.What is 4/5 + (−1/6)? (a) 3/11 (b) 29/30 (c) −19/30 (d) 19/30
  26. 26.What is (−1/2) − 2/9? (a) −13/18 (b) −3/11 (c) 13/18 (d) −5/18
  27. 27.What is (−1/2) − 1/2? (a) −1/2 (b) 1 (c) 0 (d) −1
  28. 28.Which is smaller: −1/3 or −6/7? (a) −1/3 (b) −6/7
  29. 29.Is 8/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.What is 2/9 − (−1/2)? (a) 3/11 (b) −13/18 (c) 13/18 (d) −5/18
  31. 31.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  32. 32.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  33. 33.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) −7/5 (c) 5/7 (d) −5/7
  34. 34.Which is smaller: −6/7 or 1/5? (a) 1/5 (b) −6/7
  35. 35.What is (−1/5) + (−7/8)? (a) −43/40 (b) −8/13 (c) 27/40 (d) 43/40
  36. 36.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −1/6 or 5/9? (a) 5/9 (b) −1/6
  38. 38.Is 5/4 positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −3/7 or 1/4? (a) −3/7 (b) 1/4
  40. 40.Is −7/5 positive or negative? (a) Negative (b) Positive

Answer key

  1. −8/9
  2. −2/9
  3. −2/5
  4. −4/7
  5. Positive
  6. Positive
  7. −1/8
  8. −7/8
  9. −11/9
  10. −1/4
  11. −51/35
  12. −2/5
  13. −7/18
  14. 37/40
  15. Negative
  16. Positive
  17. −7/9
  18. −4/5
  19. −7/5
  20. −8/3
  21. −43/63
  22. 7/12
  23. Negative
  24. −5/8
  25. 19/30
  26. −13/18
  27. −1
  28. −6/7
  29. Negative
  30. 13/18
  31. 1/3
  32. −9/7
  33. −5/7
  34. −6/7
  35. −43/40
  36. Positive
  37. −1/6
  38. Positive
  39. 1/4
  40. Negative

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