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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 377 · 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 −2/2 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −1/7 or −5/7? (a) −1/7 (b) −5/7
  3. 3.Which is smaller: −7/9 or −2/3? (a) −2/3 (b) −7/9
  4. 4.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  5. 5.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −16/28 (b) −7/4 (c) 4/7 (d) −4/7
  6. 6.Which is bigger: −3/4 or −5/6? (a) −5/6 (b) −3/4
  7. 7.Which is smaller: −1/7 or −2/9? (a) −2/9 (b) −1/7
  8. 8.What is (−5/7) + 6/7? (a) −11/7 (b) −1/7 (c) 1/7 (d) 1/14
  9. 9.What is 4/5 − (−5/6)? (a) 9/11 (b) −1/30 (c) −49/30 (d) 49/30
  10. 10.What is 5/8 − (−5/9)? (a) 10/17 (b) −85/72 (c) 85/72 (d) 5/72
  11. 11.What is (−4/9) − 1/2? (a) 1/18 (b) 17/18 (c) −17/18 (d) −5/11
  12. 12.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  13. 13.What is (−2/9) + (−2/3)? (a) 4/9 (b) −1/3 (c) −8/9 (d) 8/9
  14. 14.What is the additive inverse of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  15. 15.Which is bigger: −1/9 or −2/5? (a) −1/9 (b) −2/5
  16. 16.What is (−5/7) − (−2/9)? (a) 31/63 (b) −31/63 (c) −59/63 (d) −3/16
  17. 17.Which is smaller: −1/6 or −4/9? (a) −4/9 (b) −1/6
  18. 18.What is (−1/5) − (−1/8)? (a) −13/40 (b) 0 (c) −3/40 (d) 3/40
  19. 19.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  20. 20.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −4/18 (d) −9/2
  21. 21.What is (−8/9) − (−5/6)? (a) −31/18 (b) −1/5 (c) −1/18 (d) 1/18
  22. 22.Is 8/8 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −4/9 or 1/5? (a) 1/5 (b) −4/9
  24. 24.Write −8/20 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −8/20 (d) −2/5
  25. 25.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) −5/1 (d) 1/5
  26. 26.Which is smaller: −2/5 or −5/9? (a) −2/5 (b) −5/9
  27. 27.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  28. 28.What is the additive inverse of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  29. 29.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −4/24
  30. 30.What is (−2/9) + (−1/5)? (a) 19/45 (b) −19/45 (c) −3/14 (d) −1/45
  31. 31.Which is bigger: −1/2 or −1/5? (a) −1/5 (b) −1/2
  32. 32.What is 3/5 − (−1/8)? (a) 4/13 (b) −29/40 (c) 19/40 (d) 29/40
  33. 33.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −3/5 or −2/3? (a) −2/3 (b) −3/5
  35. 35.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −4/5 (d) −5/4
  36. 36.What is 1/2 − (−3/4)? (a) −1/4 (b) 2/3 (c) −5/4 (d) 5/4
  37. 37.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  38. 38.What is (−3/5) − 2/9? (a) −37/45 (b) −17/45 (c) 37/45 (d) −5/14
  39. 39.What is (−2/5) + (−2/9)? (a) −8/45 (b) −2/7 (c) 28/45 (d) −28/45
  40. 40.What is (−4/5) + 7/8? (a) −67/40 (b) 3/13 (c) −3/40 (d) 3/40

Answer key

  1. Negative
  2. −1/7
  3. −7/9
  4. −9/2
  5. −4/7
  6. −3/4
  7. −2/9
  8. 1/7
  9. 49/30
  10. 85/72
  11. −17/18
  12. 5/2
  13. −8/9
  14. −1/5
  15. −1/9
  16. −31/63
  17. −4/9
  18. −3/40
  19. −3/4
  20. −2/9
  21. −1/18
  22. Positive
  23. 1/5
  24. −2/5
  25. −1/5
  26. −5/9
  27. −1/3
  28. 5/7
  29. −1/6
  30. −19/45
  31. −1/5
  32. 29/40
  33. Negative
  34. −3/5
  35. −4/5
  36. 5/4
  37. −2/5
  38. −37/45
  39. −28/45
  40. 3/40

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