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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 878 · 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 −4/3 positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −5/9 or −1/9? (a) −1/9 (b) −5/9
  3. 3.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.Is 8/2 positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −5/7 or 5/9? (a) 5/9 (b) −5/7
  6. 6.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  7. 7.What is 7/9 + (−3/5)? (a) −8/45 (b) 2/7 (c) 8/45 (d) 62/45
  8. 8.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −12/32 (b) 3/8 (c) −8/3 (d) −3/8
  9. 9.What is (−4/5) + (−2/3)? (a) −22/15 (b) −2/15 (c) −3/4 (d) 22/15
  10. 10.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −16/28 (d) −7/4
  11. 11.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −20/45 (d) 4/9
  12. 12.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −10/14 (d) −7/5
  13. 13.Which is smaller: −5/8 or −1/4? (a) −5/8 (b) −1/4
  14. 14.What is (−6/7) + (−5/9)? (a) −11/16 (b) −89/63 (c) −19/63 (d) 89/63
  15. 15.What is the additive inverse of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  16. 16.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −3/8 (d) −8/3
  17. 17.Write −4/32 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −4/32 (d) −8/1
  18. 18.What is (−3/5) − 2/7? (a) −11/35 (b) −5/12 (c) 31/35 (d) −31/35
  19. 19.Which is bigger: −2/7 or −6/7? (a) −2/7 (b) −6/7
  20. 20.What is 2/5 − (−3/7)? (a) 29/35 (b) −1/35 (c) 5/12 (d) −29/35
  21. 21.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −3/5 (c) −5/3 (d) 3/5
  22. 22.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −4/18 (d) −9/2
  23. 23.Is −1/2 positive or negative? (a) Positive (b) Negative
  24. 24.Which is smaller: −1/5 or 3/4? (a) −1/5 (b) 3/4
  25. 25.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −15/35 (b) −3/7 (c) −7/3 (d) 3/7
  26. 26.Which is bigger: −1/6 or 5/9? (a) −1/6 (b) 5/9
  27. 27.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −35/40
  28. 28.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −10/12 (d) −6/5
  29. 29.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of −2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  31. 31.What is (−1/4) + 7/9? (a) 19/36 (b) −37/36 (c) −19/36 (d) 6/13
  32. 32.What is 6/7 + (−1/8)? (a) 41/56 (b) −41/56 (c) 55/56 (d) 1/3
  33. 33.What is 1/6 + (−3/7)? (a) 11/42 (b) −11/42 (c) 25/42 (d) −2/13
  34. 34.Which is bigger: −6/7 or 1/9? (a) −6/7 (b) 1/9
  35. 35.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) −7/4 (d) 4/7
  36. 36.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  37. 37.What is (−1/6) + 1/6? (a) −1/3 (b) 0
  38. 38.What is (−3/5) + 3/8? (a) −9/40 (b) 0 (c) 9/40 (d) −39/40
  39. 39.What is (−1/8) + 1/5? (a) −13/40 (b) −3/40 (c) 3/40 (d) 0
  40. 40.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5

Answer key

  1. Negative
  2. −5/9
  3. Positive
  4. Positive
  5. −5/7
  6. −9/8
  7. 8/45
  8. −3/8
  9. −22/15
  10. −4/7
  11. −4/9
  12. −5/7
  13. −5/8
  14. −89/63
  15. 1/4
  16. −3/8
  17. −1/8
  18. −31/35
  19. −2/7
  20. 29/35
  21. −3/5
  22. −2/9
  23. Negative
  24. −1/5
  25. −3/7
  26. 5/9
  27. −7/8
  28. −5/6
  29. Negative
  30. 2/5
  31. 19/36
  32. 41/56
  33. −11/42
  34. 1/9
  35. −4/7
  36. −1/5
  37. 0
  38. −9/40
  39. 3/40
  40. −2/5

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