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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 816 · 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 (−1/9) − 1/7? (a) 2/63 (b) −16/63 (c) −1/8 (d) 16/63
  2. 2.What is 5/9 + (−1/3)? (a) 1/3 (b) −2/9 (c) 8/9 (d) 2/9
  3. 3.Is −4/5 positive or negative? (a) Positive (b) Negative
  4. 4.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  5. 5.What is (−3/7) − 1/2? (a) 13/14 (b) 1/14 (c) −4/9 (d) −13/14
  6. 6.Which is bigger: −2/3 or 1/5? (a) 1/5 (b) −2/3
  7. 7.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  8. 8.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) 2/5 (d) −2/5
  9. 9.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  10. 10.What is the additive inverse of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  11. 11.Which is bigger: −1/4 or −3/7? (a) −3/7 (b) −1/4
  12. 12.What is (−2/3) + 7/8? (a) −37/24 (b) −5/24 (c) 5/11 (d) 5/24
  13. 13.What is (−1/3) − 3/4? (a) 13/12 (b) 5/12 (c) −13/12 (d) −4/7
  14. 14.Which is bigger: −5/8 or −5/7? (a) −5/8 (b) −5/7
  15. 15.What is the additive inverse of 5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  16. 16.Which is bigger: −3/7 or −6/7? (a) −3/7 (b) −6/7
  17. 17.Is 6/8 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/3) + 5/9? (a) 1/3 (b) −8/9 (c) −2/9 (d) 2/9
  19. 19.What is (−2/7) − (−2/5)? (a) 4/35 (b) −4/35 (c) 0 (d) −24/35
  20. 20.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  21. 21.What is (−3/5) + (−5/7)? (a) 46/35 (b) −2/3 (c) −46/35 (d) 4/35
  22. 22.What is 4/9 − (−3/4)? (a) −43/36 (b) 43/36 (c) 7/13 (d) −11/36
  23. 23.What is (−6/7) + 3/5? (a) −9/35 (b) −1/4 (c) −51/35 (d) 9/35
  24. 24.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−4/7) + (−1/2)? (a) 15/14 (b) −1/14 (c) −5/9 (d) −15/14
  26. 26.Which is smaller: −1/2 or 5/7? (a) −1/2 (b) 5/7
  27. 27.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −3/5 (d) −5/3
  28. 28.What is (−1/4) − 1/2? (a) 1/4 (b) −1/3 (c) −3/4 (d) 3/4
  29. 29.Is 9/8 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−5/8) + 2/3? (a) 1/24 (b) −31/24 (c) −1/24 (d) −3/11
  31. 31.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  32. 32.What is (−7/9) − (−4/5)? (a) −3/14 (b) 1/45 (c) −71/45 (d) −1/45
  33. 33.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  34. 34.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−4/5) − 1/3? (a) −17/15 (b) 17/15 (c) −7/15 (d) −5/8
  37. 37.What is (−3/7) + (−1/5)? (a) 22/35 (b) −1/3 (c) −8/35 (d) −22/35
  38. 38.Which is bigger: −1/6 or −3/5? (a) −3/5 (b) −1/6
  39. 39.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −7/1 (c) 1/7 (d) −1/7
  40. 40.What is 7/8 + (−2/7)? (a) 33/56 (b) 1/3 (c) −33/56 (d) 65/56

Answer key

  1. −16/63
  2. 2/9
  3. Negative
  4. −9/8
  5. −13/14
  6. 1/5
  7. Positive
  8. −2/5
  9. 7/4
  10. 5/9
  11. −1/4
  12. 5/24
  13. −13/12
  14. −5/8
  15. −5/7
  16. −3/7
  17. Positive
  18. 2/9
  19. 4/35
  20. −7/6
  21. −46/35
  22. 43/36
  23. −9/35
  24. Negative
  25. −15/14
  26. −1/2
  27. −3/5
  28. −3/4
  29. Positive
  30. 1/24
  31. Negative
  32. 1/45
  33. −5/2
  34. Negative
  35. Negative
  36. −17/15
  37. −22/35
  38. −1/6
  39. −1/7
  40. 33/56

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