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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 292 · 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 smaller: −2/5 or −5/6? (a) −2/5 (b) −5/6
  2. 2.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  3. 3.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  4. 4.What is 2/9 − (−5/7)? (a) 59/63 (b) 7/16 (c) −59/63 (d) −31/63
  5. 5.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  6. 6.Is −8/9 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/2) + 5/6? (a) −1/3 (b) −4/3 (c) 1/2 (d) 1/3
  8. 8.What is (−1/3) − 1/8? (a) −5/24 (b) 11/24 (c) −11/24 (d) −2/11
  9. 9.What is 5/6 + (−3/8)? (a) 29/24 (b) −11/24 (c) 11/24 (d) 1/7
  10. 10.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  11. 11.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −21/24 (b) −7/8 (c) 7/8 (d) −8/7
  12. 12.Which is smaller: −1/8 or 5/8? (a) 5/8 (b) −1/8
  13. 13.Is −5/4 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−1/6) − 1/3? (a) 1/6 (b) 1/2 (c) −1/2 (d) −2/9
  15. 15.What is 5/7 + (−5/7)? (a) 0 (b) 10/7
  16. 16.Which is bigger: −5/7 or 4/5? (a) −5/7 (b) 4/5
  17. 17.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  18. 18.Which is smaller: −2/3 or −3/4? (a) −2/3 (b) −3/4
  19. 19.Which is bigger: −4/7 or 7/8? (a) 7/8 (b) −4/7
  20. 20.What is the additive inverse of −4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  21. 21.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  22. 22.Which is bigger: −1/8 or −2/3? (a) −2/3 (b) −1/8
  23. 23.What is the additive inverse of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  24. 24.Which is smaller: −4/7 or −7/8? (a) −4/7 (b) −7/8
  25. 25.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  26. 26.What is (−1/9) − 1/4? (a) 13/36 (b) 5/36 (c) −13/36 (d) −2/13
  27. 27.Which is bigger: −5/9 or −7/8? (a) −7/8 (b) −5/9
  28. 28.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −8/9 or −2/9? (a) −8/9 (b) −2/9
  30. 30.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  31. 31.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −15/24
  32. 32.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −40/45
  33. 33.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −3/8 (d) −8/3
  34. 34.What is (−5/8) − (−5/8)? (a) 0 (b) −5/4
  35. 35.What is 3/7 − (−7/9)? (a) −22/63 (b) 76/63 (c) 5/8 (d) −76/63
  36. 36.What is (−3/8) − (−1/6)? (a) −1/7 (b) 5/24 (c) −13/24 (d) −5/24
  37. 37.What is 8/9 + (−4/5)? (a) −4/45 (b) 2/7 (c) 4/45 (d) 76/45
  38. 38.Which is bigger: −4/7 or −3/4? (a) −4/7 (b) −3/4
  39. 39.What is (−1/4) + 1/7? (a) 0 (b) 3/28 (c) −3/28 (d) −11/28
  40. 40.What is 6/7 − (−2/9)? (a) 40/63 (b) 1/2 (c) −68/63 (d) 68/63

Answer key

  1. −5/6
  2. Positive
  3. −1/2
  4. 59/63
  5. −2/5
  6. Negative
  7. 1/3
  8. −11/24
  9. 11/24
  10. −8
  11. −7/8
  12. −1/8
  13. Negative
  14. −1/2
  15. 0
  16. 4/5
  17. 1/2
  18. −3/4
  19. 7/8
  20. 4/7
  21. −5/6
  22. −1/8
  23. 2/9
  24. −7/8
  25. −3/4
  26. −13/36
  27. −5/9
  28. Positive
  29. −8/9
  30. 7/2
  31. −5/8
  32. −8/9
  33. −3/8
  34. 0
  35. 76/63
  36. −5/24
  37. 4/45
  38. −4/7
  39. −3/28
  40. 68/63

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