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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 346 · 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 (−2/9) + (−1/2)? (a) 13/18 (b) 5/18 (c) −3/11 (d) −13/18
  2. 2.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  3. 3.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  4. 4.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  5. 5.Which is bigger: −2/7 or 1/3? (a) −2/7 (b) 1/3
  6. 6.What is (−1/8) + 6/7? (a) 1/3 (b) −41/56 (c) 41/56 (d) −55/56
  7. 7.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −30/54 (d) −5/9
  8. 8.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −6/15 (d) −2/5
  9. 9.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  10. 10.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  11. 11.Is −6/8 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−4/9) + (−1/2)? (a) −5/11 (b) 1/18 (c) −17/18 (d) 17/18
  13. 13.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  14. 14.Which is smaller: −1/4 or −5/7? (a) −5/7 (b) −1/4
  15. 15.Is −9/2 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −4/5 or −1/3? (a) −4/5 (b) −1/3
  17. 17.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/6) + 7/9? (a) −11/18 (b) 11/18 (c) −17/18 (d) 2/5
  19. 19.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  20. 20.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −10/16 (c) −8/5 (d) −5/8
  21. 21.Which is smaller: −1/2 or 2/3? (a) −1/2 (b) 2/3
  22. 22.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  23. 23.Which is bigger: −5/7 or 5/9? (a) −5/7 (b) 5/9
  24. 24.What is (−4/9) + 4/7? (a) 0 (b) −8/63 (c) −64/63 (d) 8/63
  25. 25.What is 7/9 − (−1/3)? (a) 2/3 (b) 10/9 (c) −10/9 (d) 4/9
  26. 26.What is 2/5 + (−8/9)? (a) 58/45 (b) −3/7 (c) 22/45 (d) −22/45
  27. 27.Is −9/6 positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −1/6 or −5/6? (a) −1/6 (b) −5/6
  29. 29.What is (−4/5) + (−4/7)? (a) −2/3 (b) −48/35 (c) −8/35 (d) 48/35
  30. 30.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/9 (d) −3/1
  31. 31.Which is bigger: −8/9 or 4/5? (a) −8/9 (b) 4/5
  32. 32.Which is bigger: −3/7 or 4/5? (a) −3/7 (b) 4/5
  33. 33.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) −1/5 (d) 1/5
  34. 34.Which is smaller: −4/5 or −7/8? (a) −4/5 (b) −7/8
  35. 35.What is (−3/4) − (−5/8)? (a) −1/8 (b) 1/6 (c) 1/8 (d) −11/8
  36. 36.What is 4/9 + (−1/4)? (a) −7/36 (b) 7/36 (c) 3/13 (d) 25/36
  37. 37.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −8/3 (c) 3/8 (d) −3/8
  38. 38.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  39. 39.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −9/21 (b) −7/3 (c) −3/7 (d) 3/7
  40. 40.Is 5/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. −13/18
  2. −3/8
  3. Negative
  4. −2/5
  5. 1/3
  6. 41/56
  7. −5/9
  8. −2/5
  9. −7/3
  10. −1/2
  11. Negative
  12. −17/18
  13. 6
  14. −5/7
  15. Negative
  16. −1/3
  17. Negative
  18. 11/18
  19. −5/8
  20. −5/8
  21. −1/2
  22. 3/5
  23. 5/9
  24. 8/63
  25. 10/9
  26. −22/45
  27. Negative
  28. −5/6
  29. −48/35
  30. −1/3
  31. 4/5
  32. 4/5
  33. −1/5
  34. −7/8
  35. −1/8
  36. 7/36
  37. −8/3
  38. 9/7
  39. −3/7
  40. Positive

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