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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 782 · 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 the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  2. 2.What is (−8/9) + 2/9? (a) 2/3 (b) −10/9 (c) −1/3 (d) −2/3
  3. 3.Is 4/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−3/8) + (−7/8)? (a) 1/2 (b) 5/4 (c) −5/4 (d) −5/8
  5. 5.Which is smaller: −7/8 or 1/5? (a) 1/5 (b) −7/8
  6. 6.Which is bigger: −5/6 or −4/9? (a) −5/6 (b) −4/9
  7. 7.Which is smaller: −2/9 or −7/8? (a) −7/8 (b) −2/9
  8. 8.Which is bigger: −1/7 or −3/5? (a) −1/7 (b) −3/5
  9. 9.What is the additive inverse of −5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  10. 10.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/4 (c) 1/2 (d) −2/1
  11. 11.What is 3/8 + (−1/4)? (a) 1/8 (b) 1/6 (c) 5/8 (d) −1/8
  12. 12.What is (−5/9) − 5/7? (a) −5/8 (b) 10/63 (c) 80/63 (d) −80/63
  13. 13.Which is bigger: −5/6 or −5/8? (a) −5/6 (b) −5/8
  14. 14.What is 3/5 − (−5/6)? (a) 43/30 (b) −7/30 (c) 8/11 (d) −43/30
  15. 15.Is 3/4 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  17. 17.What is (−1/4) + (−3/4)? (a) 1/2 (b) −1 (c) −1/2 (d) 1
  18. 18.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −25/45 (d) 5/9
  19. 19.Which is smaller: −1/6 or −5/7? (a) −1/6 (b) −5/7
  20. 20.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  21. 21.What is (−5/6) + (−1/4)? (a) −3/5 (b) 13/12 (c) −7/12 (d) −13/12
  22. 22.Which is smaller: −1/8 or −1/3? (a) −1/3 (b) −1/8
  23. 23.Is 7/9 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/5) − (−3/4)? (a) 2/9 (b) −11/20 (c) −19/20 (d) 11/20
  25. 25.Which is bigger: −2/3 or −7/8? (a) −7/8 (b) −2/3
  26. 26.What is 1/9 + (−1/5)? (a) 0 (b) 4/45 (c) −4/45 (d) 14/45
  27. 27.Write −20/25 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −20/25 (c) −5/4 (d) −4/5
  28. 28.Which is bigger: −5/8 or 7/8? (a) 7/8 (b) −5/8
  29. 29.What is (−4/5) − (−3/8)? (a) −47/40 (b) 17/40 (c) −1/13 (d) −17/40
  30. 30.Which is smaller: −2/7 or −2/9? (a) −2/9 (b) −2/7
  31. 31.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  32. 32.Is 1/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is 2/9 − (−4/7)? (a) −50/63 (b) 3/8 (c) −22/63 (d) 50/63
  34. 34.Which is bigger: −5/8 or −1/4? (a) −1/4 (b) −5/8
  35. 35.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  36. 36.Which is smaller: −1/7 or −3/4? (a) −1/7 (b) −3/4
  37. 37.Which is smaller: −1/2 or −3/4? (a) −1/2 (b) −3/4
  38. 38.Write −35/40 in standard form (lowest terms, positive denominator). (a) −35/40 (b) −7/8 (c) −8/7 (d) 7/8
  39. 39.Which is bigger: −3/8 or 1/5? (a) −3/8 (b) 1/5
  40. 40.What is (−1/7) + 3/5? (a) 16/35 (b) −26/35 (c) 1/6 (d) −16/35

Answer key

  1. −4
  2. −2/3
  3. Positive
  4. −5/4
  5. −7/8
  6. −4/9
  7. −7/8
  8. −1/7
  9. 5/8
  10. −1/2
  11. 1/8
  12. −80/63
  13. −5/8
  14. 43/30
  15. Positive
  16. −2/5
  17. −1
  18. −5/9
  19. −5/7
  20. −5/2
  21. −13/12
  22. −1/3
  23. Positive
  24. 11/20
  25. −2/3
  26. −4/45
  27. −4/5
  28. 7/8
  29. −17/40
  30. −2/7
  31. −8/5
  32. Positive
  33. 50/63
  34. −1/4
  35. 9/7
  36. −3/4
  37. −3/4
  38. −7/8
  39. 1/5
  40. 16/35

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