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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 703 · 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.Which is bigger: −1/5 or 7/9? (a) −1/5 (b) 7/9
  2. 2.Which is bigger: −1/9 or −1/3? (a) −1/3 (b) −1/9
  3. 3.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −12/20
  4. 4.What is (−1/3) − (−1/2)? (a) 1/6 (b) 0 (c) −1/6 (d) −5/6
  5. 5.What is (−4/9) + 5/6? (a) −7/18 (b) −23/18 (c) 7/18 (d) 1/15
  6. 6.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −15/18 (c) 5/6 (d) −6/5
  7. 7.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  8. 8.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  9. 9.Which is bigger: −1/4 or 3/5? (a) −1/4 (b) 3/5
  10. 10.Which is smaller: −4/5 or −2/5? (a) −2/5 (b) −4/5
  11. 11.What is (−2/3) − 2/5? (a) 16/15 (b) −4/15 (c) −16/15 (d) −1/2
  12. 12.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.What is 5/6 + (−1/6)? (a) 1/3 (b) −2/3 (c) 2/3 (d) 1
  14. 14.What is 6/7 + (−4/7)? (a) 10/7 (b) −2/7 (c) 2/7 (d) 1/7
  15. 15.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  16. 16.What is 5/9 − (−2/9)? (a) 1/3 (b) 7/9 (c) −7/9 (d) 7/18
  17. 17.Is 8/4 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/4) + 2/5? (a) −1/9 (b) −7/20 (c) −23/20 (d) 7/20
  19. 19.What is (−2/7) + 1/7? (a) 1/7 (b) −1/14 (c) −3/7 (d) −1/7
  20. 20.Which is bigger: −1/6 or 2/7? (a) 2/7 (b) −1/6
  21. 21.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  22. 22.What is (−2/5) − (−1/9)? (a) 13/45 (b) −23/45 (c) −1/14 (d) −13/45
  23. 23.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  24. 24.What is (−1/8) − 6/7? (a) 41/56 (b) 55/56 (c) −7/15 (d) −55/56
  25. 25.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  26. 26.What is (−2/7) − 1/5? (a) −17/35 (b) −3/35 (c) 17/35 (d) −1/4
  27. 27.What is (−2/9) + 7/9? (a) 5/18 (b) 5/9 (c) −1 (d) −5/9
  28. 28.What is (−2/5) + (−1/8)? (a) 21/40 (b) −3/13 (c) −11/40 (d) −21/40
  29. 29.What is 2/5 − (−1/2)? (a) −1/10 (b) 3/7 (c) 9/10 (d) −9/10
  30. 30.Which is smaller: −2/3 or 7/8? (a) −2/3 (b) 7/8
  31. 31.What is 3/8 − (−2/9)? (a) 5/17 (b) −43/72 (c) 43/72 (d) 11/72
  32. 32.What is 1/7 + (−7/8)? (a) 57/56 (b) −41/56 (c) 41/56 (d) −2/5
  33. 33.What is 5/7 − (−5/9)? (a) 10/63 (b) −80/63 (c) 80/63 (d) 5/8
  34. 34.What is (−5/7) − (−2/5)? (a) −11/35 (b) 11/35 (c) −1/4 (d) −39/35
  35. 35.Which is bigger: −2/3 or −1/9? (a) −2/3 (b) −1/9
  36. 36.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −9/5 (c) 5/9 (d) −5/9
  37. 37.Write −14/16 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −14/16 (d) −7/8
  38. 38.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  39. 39.Which is bigger: −2/5 or −5/8? (a) −5/8 (b) −2/5
  40. 40.Which is bigger: −5/7 or 7/9? (a) 7/9 (b) −5/7

Answer key

  1. 7/9
  2. −1/9
  3. −3/5
  4. 1/6
  5. 7/18
  6. −5/6
  7. −3/5
  8. Positive
  9. 3/5
  10. −4/5
  11. −16/15
  12. Negative
  13. 2/3
  14. 2/7
  15. Negative
  16. 7/9
  17. Positive
  18. −7/20
  19. −1/7
  20. 2/7
  21. −1/3
  22. −13/45
  23. −5/3
  24. −55/56
  25. −2/5
  26. −17/35
  27. 5/9
  28. −21/40
  29. 9/10
  30. −2/3
  31. 43/72
  32. −41/56
  33. 80/63
  34. −11/35
  35. −1/9
  36. −5/9
  37. −7/8
  38. 2/3
  39. −2/5
  40. 7/9

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