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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 273 · 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 6/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −1/2 or −2/9? (a) −1/2 (b) −2/9
  3. 3.What is (−2/5) − 2/5? (a) −4/5 (b) 4/5 (c) 0 (d) −2/5
  4. 4.Which is bigger: −6/7 or 4/9? (a) −6/7 (b) 4/9
  5. 5.What is (−4/9) − (−5/8)? (a) −13/72 (b) −77/72 (c) 1/17 (d) 13/72
  6. 6.Is 6/6 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−4/9) − (−2/3)? (a) −1/6 (b) 2/9 (c) −2/9 (d) −10/9
  8. 8.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −3/7 (d) −7/3
  9. 9.What is (−6/7) − 2/5? (a) −2/3 (b) −16/35 (c) −44/35 (d) 44/35
  10. 10.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) −1/9 (c) 1/9 (d) −9/1
  11. 11.Which is smaller: −7/9 or −3/4? (a) −3/4 (b) −7/9
  12. 12.Which is bigger: −3/4 or 1/2? (a) 1/2 (b) −3/4
  13. 13.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −16/36
  14. 14.Is −5/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−2/3) + 2/7? (a) −8/21 (b) 8/21 (c) −20/21 (d) 0
  16. 16.What is 3/5 − (−1/6)? (a) −23/30 (b) 4/11 (c) 13/30 (d) 23/30
  17. 17.What is (−2/7) − (−7/9)? (a) −31/63 (b) 31/63 (c) −67/63 (d) 5/16
  18. 18.What is (−2/7) − 3/4? (a) 29/28 (b) 13/28 (c) −5/11 (d) −29/28
  19. 19.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  20. 20.Which is bigger: −1/9 or 7/8? (a) −1/9 (b) 7/8
  21. 21.What is (−2/3) + (−5/8)? (a) −7/11 (b) −31/24 (c) 31/24 (d) −1/24
  22. 22.What is (−4/9) − (−2/7)? (a) 10/63 (b) −10/63 (c) −46/63 (d) −1/8
  23. 23.What is 6/7 − (−2/3)? (a) −32/21 (b) 4/21 (c) 4/5 (d) 32/21
  24. 24.Which is bigger: −1/4 or −2/5? (a) −2/5 (b) −1/4
  25. 25.What is (−3/5) + 5/7? (a) −4/35 (b) 1/6 (c) 4/35 (d) −46/35
  26. 26.Is −7/9 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −1/2 or −5/8? (a) −5/8 (b) −1/2
  28. 28.What is (−6/7) − (−7/9)? (a) 5/63 (b) 1/16 (c) −5/63 (d) −103/63
  29. 29.Which is bigger: −1/6 or 3/4? (a) −1/6 (b) 3/4
  30. 30.What is the additive inverse of −2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  31. 31.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −8/18 (d) −4/9
  32. 32.What is (−2/7) − 5/8? (a) 51/56 (b) −51/56 (c) 19/56 (d) −7/15
  33. 33.Which is bigger: −1/6 or −6/7? (a) −6/7 (b) −1/6
  34. 34.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  35. 35.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  36. 36.What is the additive inverse of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  37. 37.What is the additive inverse of −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  38. 38.Is 5/9 positive or negative? (a) Negative (b) Positive
  39. 39.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −4/20 (b) −5/1 (c) 1/5 (d) −1/5
  40. 40.What is (−5/8) − (−7/9)? (a) −11/72 (b) 2/17 (c) −101/72 (d) 11/72

Answer key

  1. Negative
  2. −2/9
  3. −4/5
  4. 4/9
  5. 13/72
  6. Positive
  7. 2/9
  8. −3/7
  9. −44/35
  10. −1/9
  11. −7/9
  12. 1/2
  13. −4/9
  14. Negative
  15. −8/21
  16. 23/30
  17. 31/63
  18. −29/28
  19. 7/4
  20. 7/8
  21. −31/24
  22. −10/63
  23. 32/21
  24. −1/4
  25. 4/35
  26. Negative
  27. −1/2
  28. −5/63
  29. 3/4
  30. 2/7
  31. −4/9
  32. −51/56
  33. −1/6
  34. −4/3
  35. −2/9
  36. 6/7
  37. 1/3
  38. Positive
  39. −1/5
  40. 11/72

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