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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 631 · 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 the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  2. 2.What is (−3/5) + 5/8? (a) −1/40 (b) 2/13 (c) −49/40 (d) 1/40
  3. 3.Which is smaller: −6/7 or −1/5? (a) −6/7 (b) −1/5
  4. 4.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  5. 5.Which is bigger: −1/2 or −1/9? (a) −1/2 (b) −1/9
  6. 6.Is −9/6 positive or negative? (a) Positive (b) Negative
  7. 7.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −6/14 (d) −7/3
  8. 8.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  9. 9.Which is smaller: −5/7 or −1/2? (a) −5/7 (b) −1/2
  10. 10.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  12. 12.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −4/7? (a) 7/4 (b) −4/7 (c) −7/4 (d) 4/7
  14. 14.Which is bigger: −2/7 or −3/5? (a) −3/5 (b) −2/7
  15. 15.What is (−3/7) + (−8/9)? (a) −83/63 (b) 83/63 (c) −11/16 (d) 29/63
  16. 16.What is the additive inverse of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  17. 17.What is 3/4 − (−3/8)? (a) 1/2 (b) 9/8 (c) 3/8 (d) −9/8
  18. 18.What is the additive inverse of −4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  19. 19.Is −8/7 positive or negative? (a) Negative (b) Positive
  20. 20.Write −25/40 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −25/40 (c) −5/8 (d) 5/8
  21. 21.Which is bigger: −5/8 or −1/5? (a) −1/5 (b) −5/8
  22. 22.What is 3/5 − (−5/6)? (a) 8/11 (b) −7/30 (c) −43/30 (d) 43/30
  23. 23.What is (−1/3) + 3/8? (a) 2/11 (b) 1/24 (c) −1/24 (d) −17/24
  24. 24.Is −5/3 positive or negative? (a) Negative (b) Positive
  25. 25.Which is bigger: −7/9 or 1/5? (a) −7/9 (b) 1/5
  26. 26.What is the additive inverse of 1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  27. 27.What is the additive inverse of 6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  28. 28.What is (−5/9) − 1/7? (a) −26/63 (b) 44/63 (c) −44/63 (d) −3/8
  29. 29.Is 3/7 positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −1/6 or −1/5? (a) −1/5 (b) −1/6
  31. 31.What is 3/8 − (−1/3)? (a) 1/24 (b) 4/11 (c) 17/24 (d) −17/24
  32. 32.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  33. 33.What is (−1/5) + 3/7? (a) −8/35 (b) 8/35 (c) −22/35 (d) 1/6
  34. 34.Is −8/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.Write −12/21 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −12/21 (c) −4/7 (d) 4/7
  36. 36.What is (−6/7) − (−3/5)? (a) −1/4 (b) 9/35 (c) −51/35 (d) −9/35
  37. 37.What is 4/5 − (−5/7)? (a) 3/4 (b) −53/35 (c) 3/35 (d) 53/35
  38. 38.Is 1/4 positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −3/5 or 4/7? (a) 4/7 (b) −3/5
  40. 40.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −5/25

Answer key

  1. 8
  2. 1/40
  3. −6/7
  4. 2/3
  5. −1/9
  6. Negative
  7. −3/7
  8. −3/5
  9. −5/7
  10. Positive
  11. −8/9
  12. Negative
  13. 4/7
  14. −2/7
  15. −83/63
  16. 2/7
  17. 9/8
  18. 4/9
  19. Negative
  20. −5/8
  21. −1/5
  22. 43/30
  23. 1/24
  24. Negative
  25. 1/5
  26. −1/2
  27. −6/7
  28. −44/63
  29. Positive
  30. −1/5
  31. 17/24
  32. 5/4
  33. 8/35
  34. Positive
  35. −4/7
  36. −9/35
  37. 53/35
  38. Positive
  39. −3/5
  40. −1/5

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