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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 511 · 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: −1/7 or 3/5? (a) 3/5 (b) −1/7
  2. 2.What is (−1/3) + 4/5? (a) −17/15 (b) −7/15 (c) 3/8 (d) 7/15
  3. 3.Which is bigger: −5/8 or −1/5? (a) −5/8 (b) −1/5
  4. 4.Which is smaller: −1/2 or 1/7? (a) 1/7 (b) −1/2
  5. 5.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −1/6 (c) 1/6 (d) −6/1
  6. 6.What is 5/8 − (−7/8)? (a) −1/4 (b) 3/2 (c) −3/2 (d) 3/4
  7. 7.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  8. 8.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −8/18
  9. 9.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −20/32
  10. 10.Which is smaller: −8/9 or 3/5? (a) 3/5 (b) −8/9
  11. 11.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  12. 12.Which is smaller: −5/9 or −2/5? (a) −5/9 (b) −2/5
  13. 13.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  14. 14.What is (−1/6) + 5/9? (a) 7/18 (b) −13/18 (c) 4/15 (d) −7/18
  15. 15.What is (−7/8) + 7/9? (a) −119/72 (b) −7/72 (c) 0 (d) 7/72
  16. 16.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  17. 17.Is 4/9 positive or negative? (a) Negative (b) Positive
  18. 18.What is 2/5 − (−1/4)? (a) 13/20 (b) 3/20 (c) 1/3 (d) −13/20
  19. 19.What is (−5/6) + 2/5? (a) 13/30 (b) −13/30 (c) −3/11 (d) −37/30
  20. 20.Which is bigger: −6/7 or −1/3? (a) −6/7 (b) −1/3
  21. 21.Which is smaller: −2/5 or −1/2? (a) −2/5 (b) −1/2
  22. 22.What is 3/5 + (−7/8)? (a) −4/13 (b) 59/40 (c) −11/40 (d) 11/40
  23. 23.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  24. 24.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.What is the additive inverse of 1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  27. 27.Is −4/5 positive or negative? (a) Positive (b) Negative
  28. 28.What is 5/7 − (−5/9)? (a) 5/8 (b) 80/63 (c) −80/63 (d) 10/63
  29. 29.What is (−7/9) + (−3/4)? (a) −55/36 (b) 55/36 (c) −10/13 (d) −1/36
  30. 30.Which is smaller: −5/7 or 2/7? (a) −5/7 (b) 2/7
  31. 31.What is 3/8 + (−5/8)? (a) 1 (b) −1/8 (c) 1/4 (d) −1/4
  32. 32.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  33. 33.What is (−1/8) + 1/9? (a) −1/72 (b) −17/72 (c) 1/72 (d) 0
  34. 34.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  35. 35.What is 1/5 − (−7/8)? (a) −27/40 (b) −43/40 (c) 8/13 (d) 43/40
  36. 36.Write −15/35 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −15/35
  37. 37.Is 4/5 positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  39. 39.Which is bigger: −3/7 or 4/9? (a) 4/9 (b) −3/7
  40. 40.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2

Answer key

  1. −1/7
  2. 7/15
  3. −1/5
  4. −1/2
  5. −1/6
  6. 3/2
  7. 8
  8. −4/9
  9. −5/8
  10. −8/9
  11. −1/4
  12. −5/9
  13. −2
  14. 7/18
  15. −7/72
  16. 9/5
  17. Positive
  18. 13/20
  19. −13/30
  20. −1/3
  21. −1/2
  22. −11/40
  23. −8/9
  24. Negative
  25. Negative
  26. −1/2
  27. Negative
  28. 80/63
  29. −55/36
  30. −5/7
  31. −1/4
  32. −9/2
  33. −1/72
  34. −2/5
  35. 43/40
  36. −3/7
  37. Positive
  38. −5/3
  39. 4/9
  40. −2/9

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