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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 187 · 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 7/5 positive or negative? (a) Positive (b) Negative
  2. 2.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−2/7) + (−1/5)? (a) −1/4 (b) 17/35 (c) −3/35 (d) −17/35
  4. 4.Which is bigger: −7/9 or −5/9? (a) −7/9 (b) −5/9
  5. 5.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  6. 6.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  7. 7.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  8. 8.Which is bigger: −3/4 or 3/8? (a) −3/4 (b) 3/8
  9. 9.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  10. 10.Which is smaller: −1/8 or 4/7? (a) −1/8 (b) 4/7
  11. 11.Is −4/7 positive or negative? (a) Negative (b) Positive
  12. 12.Which is smaller: −1/7 or −2/9? (a) −2/9 (b) −1/7
  13. 13.Is −4/2 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−3/8) + (−5/9)? (a) 67/72 (b) −8/17 (c) 13/72 (d) −67/72
  15. 15.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −10/16 (c) −5/8 (d) 5/8
  16. 16.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  17. 17.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −8/36 (d) −2/9
  18. 18.Write −16/20 in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −16/20
  19. 19.Which is bigger: −1/3 or −5/8? (a) −5/8 (b) −1/3
  20. 20.Which is bigger: −5/8 or −5/6? (a) −5/8 (b) −5/6
  21. 21.What is 2/7 − (−6/7)? (a) −8/7 (b) 8/7 (c) −4/7 (d) 4/7
  22. 22.Which is bigger: −3/7 or −7/8? (a) −3/7 (b) −7/8
  23. 23.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  24. 24.What is (−3/4) + (−1/4)? (a) −1 (b) 1 (c) −1/2
  25. 25.Which is bigger: −1/3 or −2/9? (a) −2/9 (b) −1/3
  26. 26.What is (−3/5) + (−2/5)? (a) −1/2 (b) 1 (c) −1 (d) −1/5
  27. 27.Which is bigger: −1/7 or 1/2? (a) −1/7 (b) 1/2
  28. 28.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  29. 29.What is (−3/4) − (−5/6)? (a) −1/12 (b) −19/12 (c) 1/5 (d) 1/12
  30. 30.What is 1/4 − (−8/9)? (a) −41/36 (b) 41/36 (c) −23/36 (d) 9/13
  31. 31.What is (−4/5) − 7/9? (a) −1/45 (b) −71/45 (c) 71/45 (d) −11/14
  32. 32.Which is bigger: −5/7 or −3/7? (a) −3/7 (b) −5/7
  33. 33.What is 3/7 + (−1/9)? (a) −20/63 (b) 34/63 (c) 20/63 (d) 1/8
  34. 34.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −4/20 (d) 1/5
  35. 35.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  36. 36.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) 3/4 (c) −3/4 (d) −4/3
  37. 37.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  38. 38.What is (−5/6) + 1/9? (a) −13/18 (b) −4/15 (c) −17/18 (d) 13/18
  39. 39.What is (−3/8) − 8/9? (a) 91/72 (b) 37/72 (c) −11/17 (d) −91/72
  40. 40.What is (−1/3) − 5/6? (a) 7/6 (b) −2/3 (c) 1/2 (d) −7/6

Answer key

  1. Positive
  2. Negative
  3. −17/35
  4. −5/9
  5. −7
  6. −6/5
  7. 5/2
  8. 3/8
  9. −9/5
  10. −1/8
  11. Negative
  12. −2/9
  13. Negative
  14. −67/72
  15. −5/8
  16. 8
  17. −2/9
  18. −4/5
  19. −1/3
  20. −5/8
  21. 8/7
  22. −3/7
  23. 7/8
  24. −1
  25. −2/9
  26. −1
  27. 1/2
  28. −2/7
  29. 1/12
  30. 41/36
  31. −71/45
  32. −3/7
  33. 20/63
  34. −1/5
  35. Positive
  36. −3/4
  37. Negative
  38. −13/18
  39. −91/72
  40. −7/6

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