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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 768 · 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 −4/8 positive or negative? (a) Negative (b) Positive
  2. 2.What is 3/7 − (−3/7)? (a) 0 (b) −6/7 (c) 3/7 (d) 6/7
  3. 3.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  4. 4.What is the reciprocal (multiplicative inverse) of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  5. 5.What is (−2/5) − 3/8? (a) −1/40 (b) 31/40 (c) −31/40 (d) −5/13
  6. 6.What is (−1/4) + 1/4? (a) −1/2 (b) 0
  7. 7.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  8. 8.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −4/36 (c) 1/9 (d) −9/1
  9. 9.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) 5/7 (d) −7/5
  10. 10.Is 1/5 positive or negative? (a) Negative (b) Positive
  11. 11.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  12. 12.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  13. 13.What is (−1/6) − 4/9? (a) 11/18 (b) −1/3 (c) 5/18 (d) −11/18
  14. 14.What is the additive inverse of −7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  15. 15.Which is bigger: −1/7 or 1/9? (a) −1/7 (b) 1/9
  16. 16.What is (−1/3) − 2/7? (a) −3/10 (b) −1/21 (c) 13/21 (d) −13/21
  17. 17.What is 4/7 + (−1/5)? (a) 1/4 (b) 27/35 (c) 13/35 (d) −13/35
  18. 18.Which is smaller: −1/5 or −1/3? (a) −1/5 (b) −1/3
  19. 19.Which is smaller: −3/4 or 4/5? (a) 4/5 (b) −3/4
  20. 20.What is 3/4 + (−4/5)? (a) −1/9 (b) −1/20 (c) 1/20 (d) 31/20
  21. 21.What is 3/7 − (−5/7)? (a) −8/7 (b) 8/7 (c) −2/7 (d) 4/7
  22. 22.Is 7/3 positive or negative? (a) Positive (b) Negative
  23. 23.What is (−5/9) + (−3/8)? (a) 67/72 (b) −8/17 (c) −67/72 (d) −13/72
  24. 24.What is 3/4 − (−3/4)? (a) −3/2 (b) 3/4 (c) 3/2 (d) 0
  25. 25.Which is bigger: −7/9 or −1/3? (a) −7/9 (b) −1/3
  26. 26.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  27. 27.Which is smaller: −7/9 or −5/6? (a) −5/6 (b) −7/9
  28. 28.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −2/9 or 3/8? (a) 3/8 (b) −2/9
  30. 30.Which is smaller: −4/7 or −3/8? (a) −3/8 (b) −4/7
  31. 31.What is (−1/6) + (−5/6)? (a) −1 (b) −1/2 (c) 1 (d) 2/3
  32. 32.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −42/48
  33. 33.What is 2/7 − (−7/8)? (a) 65/56 (b) −33/56 (c) −65/56 (d) 3/5
  34. 34.What is (−8/9) + (−1/3)? (a) −5/9 (b) −11/9 (c) −3/4 (d) 11/9
  35. 35.Which is smaller: −1/3 or −5/8? (a) −1/3 (b) −5/8
  36. 36.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  37. 37.What is 1/5 − (−8/9)? (a) 49/45 (b) −49/45 (c) 9/14 (d) −31/45
  38. 38.What is (−7/8) + 5/7? (a) 9/56 (b) −9/56 (c) −89/56 (d) −2/15
  39. 39.What is 3/5 − (−3/7)? (a) 6/35 (b) −36/35 (c) 1/2 (d) 36/35
  40. 40.What is (−1/5) + 3/4? (a) 11/20 (b) −19/20 (c) 2/9 (d) −11/20

Answer key

  1. Negative
  2. 6/7
  3. −5
  4. 8/3
  5. −31/40
  6. 0
  7. Positive
  8. −1/9
  9. −5/7
  10. Positive
  11. 4/3
  12. −1/4
  13. −11/18
  14. 7/9
  15. 1/9
  16. −13/21
  17. 13/35
  18. −1/3
  19. −3/4
  20. −1/20
  21. 8/7
  22. Positive
  23. −67/72
  24. 3/2
  25. −1/3
  26. −1/3
  27. −5/6
  28. Positive
  29. −2/9
  30. −4/7
  31. −1
  32. −7/8
  33. 65/56
  34. −11/9
  35. −5/8
  36. Negative
  37. 49/45
  38. −9/56
  39. 36/35
  40. 11/20

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