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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 568 · 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 (−5/6) + (−7/8)? (a) 41/24 (b) −41/24 (c) 1/24 (d) −6/7
  2. 2.Which is bigger: −5/6 or −2/3? (a) −5/6 (b) −2/3
  3. 3.Which is bigger: −1/8 or −2/5? (a) −1/8 (b) −2/5
  4. 4.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  5. 5.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −4/9 or −4/7? (a) −4/9 (b) −4/7
  7. 7.What is (−1/8) − 1/3? (a) 11/24 (b) −2/11 (c) 5/24 (d) −11/24
  8. 8.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  9. 9.What is 1/7 + (−2/9)? (a) 5/63 (b) −1/16 (c) −5/63 (d) 23/63
  10. 10.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  11. 11.Is 6/6 positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −3/7 or −2/9? (a) −2/9 (b) −3/7
  13. 13.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) −1/9 (c) 1/9 (d) −9
  14. 14.Is −2/2 positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  16. 16.Which is bigger: −2/3 or −7/8? (a) −2/3 (b) −7/8
  17. 17.Which is smaller: −2/5 or 1/9? (a) 1/9 (b) −2/5
  18. 18.What is (−7/8) + (−3/5)? (a) −10/13 (b) −11/40 (c) 59/40 (d) −59/40
  19. 19.Which is bigger: −2/9 or −1/7? (a) −2/9 (b) −1/7
  20. 20.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) 3/8 (d) −3/8
  21. 21.What is (−3/7) + (−1/9)? (a) 34/63 (b) −20/63 (c) −34/63 (d) −1/4
  22. 22.What is 1/5 − (−7/9)? (a) 4/7 (b) −26/45 (c) 44/45 (d) −44/45
  23. 23.What is (−5/7) − 2/5? (a) −39/35 (b) −7/12 (c) −11/35 (d) 39/35
  24. 24.Is 4/3 positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  26. 26.Which is bigger: −1/3 or 6/7? (a) −1/3 (b) 6/7
  27. 27.What is 4/7 + (−6/7)? (a) 2/7 (b) −1/7 (c) −2/7 (d) 10/7
  28. 28.Which is bigger: −1/9 or −7/8? (a) −1/9 (b) −7/8
  29. 29.Which is smaller: −1/2 or −7/9? (a) −1/2 (b) −7/9
  30. 30.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  31. 31.What is 6/7 + (−8/9)? (a) −1/8 (b) 2/63 (c) −2/63 (d) 110/63
  32. 32.Is −6/4 positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −3/5 or −2/5? (a) −2/5 (b) −3/5
  34. 34.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −3/12 (d) 1/4
  35. 35.What is the additive inverse of −1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  36. 36.Which is bigger: −1/7 or −4/9? (a) −4/9 (b) −1/7
  37. 37.What is (−3/5) + 2/7? (a) −11/35 (b) 11/35 (c) −1/12 (d) −31/35
  38. 38.Which is smaller: −4/5 or 1/7? (a) −4/5 (b) 1/7
  39. 39.Is −3/3 positive or negative? (a) Positive (b) Negative
  40. 40.What is 5/9 + (−1/5)? (a) −16/45 (b) 34/45 (c) 2/7 (d) 16/45

Answer key

  1. −41/24
  2. −2/3
  3. −1/8
  4. Negative
  5. Negative
  6. −4/9
  7. −11/24
  8. 1/5
  9. −5/63
  10. −5
  11. Positive
  12. −3/7
  13. −9
  14. Negative
  15. 2/3
  16. −2/3
  17. −2/5
  18. −59/40
  19. −1/7
  20. −3/8
  21. −34/63
  22. 44/45
  23. −39/35
  24. Positive
  25. −1/6
  26. 6/7
  27. −2/7
  28. −1/9
  29. −7/9
  30. −6/7
  31. −2/63
  32. Negative
  33. −3/5
  34. −1/4
  35. 1/4
  36. −1/7
  37. −11/35
  38. −4/5
  39. Negative
  40. 16/45

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