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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 573 · 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.Which is bigger: −4/9 or −5/8? (a) −4/9 (b) −5/8
  2. 2.Is 4/9 positive or negative? (a) Negative (b) Positive
  3. 3.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  4. 4.What is 7/9 + (−1/5)? (a) 3/7 (b) 26/45 (c) 44/45 (d) −26/45
  5. 5.What is (−1/4) + 7/9? (a) 19/36 (b) −19/36 (c) −37/36 (d) 6/13
  6. 6.What is the additive inverse of 2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  7. 7.What is (−3/4) − 1/3? (a) −4/7 (b) −5/12 (c) −13/12 (d) 13/12
  8. 8.What is (−5/6) − (−5/8)? (a) −5/24 (b) 5/24 (c) −35/24 (d) 0
  9. 9.What is (−8/9) + 4/5? (a) −76/45 (b) −2/7 (c) 4/45 (d) −4/45
  10. 10.Which is smaller: −5/8 or −7/9? (a) −7/9 (b) −5/8
  11. 11.What is (−1/3) + 1/5? (a) 0 (b) 2/15 (c) −2/15 (d) −8/15
  12. 12.Write −25/30 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −25/30
  13. 13.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) 1/7 (c) −7/1 (d) −1/7
  14. 14.What is (−7/9) + (−1/6)? (a) −11/18 (b) 17/18 (c) −8/15 (d) −17/18
  15. 15.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −2/3 or −8/9? (a) −8/9 (b) −2/3
  17. 17.What is the additive inverse of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  18. 18.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.What is 2/9 − (−5/6)? (a) 19/18 (b) 7/15 (c) −19/18 (d) −11/18
  20. 20.Is 3/3 positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −5/8 or 5/9? (a) −5/8 (b) 5/9
  22. 22.Is 2/5 positive or negative? (a) Positive (b) Negative
  23. 23.What is 5/9 + (−1/5)? (a) −16/45 (b) 34/45 (c) 2/7 (d) 16/45
  24. 24.Which is bigger: −5/6 or −5/7? (a) −5/6 (b) −5/7
  25. 25.Is 7/7 positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −1/3 or 1/7? (a) −1/3 (b) 1/7
  27. 27.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −5/10 (d) −1/2
  28. 28.What is (−7/9) + 4/7? (a) −3/16 (b) −13/63 (c) 13/63 (d) −85/63
  29. 29.What is the additive inverse of 1/9? (a) −9 (b) 9 (c) 1/9 (d) −1/9
  30. 30.What is (−5/8) + 3/5? (a) −1/40 (b) −49/40 (c) −2/13 (d) 1/40
  31. 31.Which is smaller: −3/7 or 2/9? (a) 2/9 (b) −3/7
  32. 32.What is (−5/9) − 3/8? (a) −8/17 (b) −13/72 (c) −67/72 (d) 67/72
  33. 33.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −8/12
  34. 34.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −2/14 (c) −7/1 (d) 1/7
  35. 35.What is 1/2 − (−5/7)? (a) −3/14 (b) −17/14 (c) 17/14 (d) 2/3
  36. 36.What is (−1/9) + (−3/5)? (a) 32/45 (b) −2/7 (c) 22/45 (d) −32/45
  37. 37.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  38. 38.What is the additive inverse of 7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  39. 39.What is (−2/3) + 1/7? (a) 11/21 (b) −11/21 (c) −1/10 (d) −17/21
  40. 40.Is 3/(−3) positive or negative? (a) Positive (b) Negative

Answer key

  1. −4/9
  2. Positive
  3. 7
  4. 26/45
  5. 19/36
  6. −2/9
  7. −13/12
  8. −5/24
  9. −4/45
  10. −7/9
  11. −2/15
  12. −5/6
  13. −1/7
  14. −17/18
  15. Positive
  16. −8/9
  17. −6/7
  18. Positive
  19. 19/18
  20. Positive
  21. −5/8
  22. Positive
  23. 16/45
  24. −5/7
  25. Positive
  26. 1/7
  27. −1/2
  28. −13/63
  29. −1/9
  30. −1/40
  31. −3/7
  32. −67/72
  33. −2/3
  34. −1/7
  35. 17/14
  36. −32/45
  37. −9/2
  38. −7/9
  39. −11/21
  40. Negative

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