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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 250 · 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 bigger: −3/4 or −1/3? (a) −1/3 (b) −3/4
  2. 2.Which is bigger: −3/4 or −3/7? (a) −3/7 (b) −3/4
  3. 3.Which is smaller: −6/7 or −1/5? (a) −6/7 (b) −1/5
  4. 4.Is −9/4 positive or negative? (a) Negative (b) Positive
  5. 5.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  6. 6.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.Write −12/21 in standard form (lowest terms, positive denominator). (a) −12/21 (b) 4/7 (c) −4/7 (d) −7/4
  8. 8.What is (−4/5) − 2/5? (a) −3/5 (b) 6/5 (c) −2/5 (d) −6/5
  9. 9.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −20/36 (d) 5/9
  10. 10.Which is smaller: −7/8 or −1/6? (a) −7/8 (b) −1/6
  11. 11.What is 1/4 + (−7/8)? (a) −1/2 (b) −5/8 (c) 5/8 (d) 9/8
  12. 12.What is (−2/9) − (−5/6)? (a) −11/18 (b) 1/5 (c) −19/18 (d) 11/18
  13. 13.Which is smaller: −2/9 or −6/7? (a) −6/7 (b) −2/9
  14. 14.Which is bigger: −3/4 or 1/6? (a) 1/6 (b) −3/4
  15. 15.What is (−5/8) − (−1/4)? (a) −1/3 (b) −7/8 (c) −3/8 (d) 3/8
  16. 16.Which is smaller: −1/8 or −3/5? (a) −3/5 (b) −1/8
  17. 17.What is (−5/9) + 3/8? (a) 13/72 (b) −2/17 (c) −67/72 (d) −13/72
  18. 18.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −18/42 (c) −3/7 (d) 3/7
  19. 19.Is −3/3 positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  21. 21.What is (−6/7) − 1/8? (a) −41/56 (b) −55/56 (c) 55/56 (d) −7/15
  22. 22.What is 1/6 + (−2/3)? (a) −1/2 (b) 5/6 (c) 1/2 (d) −1/9
  23. 23.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  24. 24.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  25. 25.Is 6/8 positive or negative? (a) Positive (b) Negative
  26. 26.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  27. 27.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −10/35 (c) −2/7 (d) −7/2
  28. 28.Which is smaller: −4/5 or 1/2? (a) 1/2 (b) −4/5
  29. 29.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) 2/5 (c) −5/2 (d) −2/5
  30. 30.What is (−5/8) + (−1/5)? (a) −6/13 (b) 33/40 (c) −33/40 (d) −17/40
  31. 31.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −1/7 (d) −7/1
  32. 32.What is (−2/7) + 7/9? (a) −67/63 (b) 5/16 (c) 31/63 (d) −31/63
  33. 33.What is (−5/7) + 1/5? (a) −1/3 (b) −32/35 (c) 18/35 (d) −18/35
  34. 34.What is (−5/9) + (−6/7)? (a) 89/63 (b) −11/16 (c) −89/63 (d) 19/63
  35. 35.What is (−5/8) − 4/5? (a) −57/40 (b) 7/40 (c) −9/13 (d) 57/40
  36. 36.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  37. 37.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) 1/3 (d) −3/1
  38. 38.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −8/14 (d) −4/7
  39. 39.What is (−1/2) − 5/8? (a) 9/8 (b) −9/8 (c) −3/5 (d) 1/8
  40. 40.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6

Answer key

  1. −1/3
  2. −3/7
  3. −6/7
  4. Negative
  5. Negative
  6. Positive
  7. −4/7
  8. −6/5
  9. −5/9
  10. −7/8
  11. −5/8
  12. 11/18
  13. −6/7
  14. 1/6
  15. −3/8
  16. −3/5
  17. −13/72
  18. −3/7
  19. Negative
  20. −4/7
  21. −55/56
  22. −1/2
  23. −2/7
  24. 3/5
  25. Positive
  26. −2/9
  27. −2/7
  28. −4/5
  29. −2/5
  30. −33/40
  31. −1/7
  32. 31/63
  33. −18/35
  34. −89/63
  35. −57/40
  36. −7/3
  37. −1/3
  38. −4/7
  39. −9/8
  40. 6/5

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