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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 58 · 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.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−1/2) + 2/5? (a) −9/10 (b) −1/10 (c) 1/10 (d) 1/7
  3. 3.What is (−4/7) − 3/5? (a) 41/35 (b) −7/12 (c) −41/35 (d) 1/35
  4. 4.What is (−1/8) − (−2/3)? (a) 13/24 (b) −13/24 (c) 1/11 (d) −19/24
  5. 5.What is (−5/7) − 1/5? (a) 32/35 (b) −1/2 (c) −18/35 (d) −32/35
  6. 6.What is (−2/3) + (−1/3)? (a) −1 (b) 1 (c) −1/3 (d) −1/2
  7. 7.What is (−2/5) + 7/8? (a) 19/40 (b) −19/40 (c) 5/13 (d) −51/40
  8. 8.What is (−2/5) + (−4/5)? (a) −3/5 (b) −6/5 (c) 2/5 (d) 6/5
  9. 9.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  10. 10.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  12. 12.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −1/2 or −3/7? (a) −3/7 (b) −1/2
  14. 14.What is (−3/5) + (−1/3)? (a) −14/15 (b) −4/15 (c) −1/2 (d) 14/15
  15. 15.What is 7/9 + (−3/4)? (a) 1/36 (b) −1/36 (c) 55/36 (d) 4/13
  16. 16.What is 4/5 − (−2/3)? (a) 22/15 (b) 2/15 (c) −22/15 (d) 3/4
  17. 17.What is the additive inverse of −4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  18. 18.What is the additive inverse of −3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  19. 19.What is (−1/3) − 6/7? (a) 25/21 (b) 11/21 (c) −7/10 (d) −25/21
  20. 20.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −12/16 (c) −4/3 (d) 3/4
  21. 21.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/4 (c) −2/1 (d) −1/2
  22. 22.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −4/28 (c) −1/7 (d) 1/7
  23. 23.Is −5/(−6) positive or negative? (a) Negative (b) Positive
  24. 24.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −3/8 (d) −8/3
  25. 25.Which is smaller: −5/9 or −1/4? (a) −1/4 (b) −5/9
  26. 26.Is 1/5 positive or negative? (a) Negative (b) Positive
  27. 27.Write −12/42 in standard form (lowest terms, positive denominator). (a) −12/42 (b) 2/7 (c) −7/2 (d) −2/7
  28. 28.Which is smaller: −6/7 or 1/4? (a) −6/7 (b) 1/4
  29. 29.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.Write −8/28 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −8/28 (c) −7/2 (d) 2/7
  31. 31.What is (−3/7) − 7/8? (a) −73/56 (b) −2/3 (c) 25/56 (d) 73/56
  32. 32.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −16/36 (c) 4/9 (d) −4/9
  33. 33.What is 3/5 − (−1/2)? (a) 1/10 (b) −11/10 (c) 4/7 (d) 11/10
  34. 34.Is −9/5 positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −2/9 or −2/7? (a) −2/9 (b) −2/7
  36. 36.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  37. 37.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −5/9 (d) −9/5
  38. 38.Which is bigger: −1/8 or 4/7? (a) 4/7 (b) −1/8
  39. 39.Which is smaller: −3/4 or −3/7? (a) −3/7 (b) −3/4
  40. 40.What is (−1/6) + 3/7? (a) 2/13 (b) 11/42 (c) −11/42 (d) −25/42

Answer key

  1. Positive
  2. −1/10
  3. −41/35
  4. 13/24
  5. −32/35
  6. −1
  7. 19/40
  8. −6/5
  9. 4
  10. Negative
  11. −1/2
  12. Negative
  13. −3/7
  14. −14/15
  15. 1/36
  16. 22/15
  17. 4/7
  18. 3/7
  19. −25/21
  20. −3/4
  21. −1/2
  22. −1/7
  23. Positive
  24. −3/8
  25. −5/9
  26. Positive
  27. −2/7
  28. −6/7
  29. Negative
  30. −2/7
  31. −73/56
  32. −4/9
  33. 11/10
  34. Negative
  35. −2/7
  36. 3
  37. −5/9
  38. 4/7
  39. −3/4
  40. 11/42

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