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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 763 · 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.What is (−1/5) + 2/5? (a) 1/10 (b) −1/5 (c) −3/5 (d) 1/5
  2. 2.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  4. 4.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  5. 5.What is 8/9 + (−3/5)? (a) −13/45 (b) 13/45 (c) 5/14 (d) 67/45
  6. 6.What is (−3/5) − 4/5? (a) −7/5 (b) 1/5 (c) −7/10 (d) 7/5
  7. 7.Which is bigger: −5/8 or −3/4? (a) −3/4 (b) −5/8
  8. 8.What is the additive inverse of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  9. 9.What is 1/5 + (−3/4)? (a) 11/20 (b) 19/20 (c) −2/9 (d) −11/20
  10. 10.What is (−1/6) − 4/5? (a) −29/30 (b) 19/30 (c) −5/11 (d) 29/30
  11. 11.What is (−1/9) − (−1/8)? (a) 0 (b) −1/72 (c) 1/72 (d) −17/72
  12. 12.Which is smaller: −4/5 or −2/7? (a) −2/7 (b) −4/5
  13. 13.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  14. 14.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  15. 15.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  16. 16.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −3/1 (d) −6/18
  17. 17.Which is bigger: −5/9 or −5/6? (a) −5/9 (b) −5/6
  18. 18.Which is smaller: −2/5 or 5/6? (a) 5/6 (b) −2/5
  19. 19.What is (−1/5) − (−5/8)? (a) −17/40 (b) 4/13 (c) 17/40 (d) −33/40
  20. 20.Which is smaller: −1/6 or −6/7? (a) −6/7 (b) −1/6
  21. 21.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) −3/5 (d) 3/5
  22. 22.What is (−1/3) − 1/4? (a) −7/12 (b) −1/12 (c) 7/12 (d) −2/7
  23. 23.Which is bigger: −4/9 or 1/3? (a) 1/3 (b) −4/9
  24. 24.Which is bigger: −3/7 or −4/9? (a) −4/9 (b) −3/7
  25. 25.Write −42/54 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −42/54 (c) −7/9 (d) 7/9
  26. 26.What is (−2/9) + 5/6? (a) 1/5 (b) −19/18 (c) 11/18 (d) −11/18
  27. 27.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  28. 28.Is 4/2 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  30. 30.Which is bigger: −5/7 or −6/7? (a) −6/7 (b) −5/7
  31. 31.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  32. 32.Which is smaller: −3/5 or −2/5? (a) −2/5 (b) −3/5
  33. 33.Which is bigger: −2/7 or −3/7? (a) −2/7 (b) −3/7
  34. 34.What is 1/5 − (−1/2)? (a) 2/7 (b) −7/10 (c) 7/10 (d) −3/10
  35. 35.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  36. 36.What is (−2/5) + 3/7? (a) 1/12 (b) −29/35 (c) 1/35 (d) −1/35
  37. 37.Write −18/24 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −18/24 (d) −4/3
  38. 38.What is (−7/9) − (−4/7)? (a) −85/63 (b) 13/63 (c) −13/63 (d) −3/16
  39. 39.What is 1/8 + (−5/8)? (a) 3/4 (b) 1/2 (c) −1/4 (d) −1/2
  40. 40.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7

Answer key

  1. 1/5
  2. Positive
  3. −1/5
  4. Negative
  5. 13/45
  6. −7/5
  7. −5/8
  8. 3/8
  9. −11/20
  10. −29/30
  11. 1/72
  12. −4/5
  13. −1/4
  14. −7/8
  15. 6
  16. −1/3
  17. −5/9
  18. −2/5
  19. 17/40
  20. −6/7
  21. −3/5
  22. −7/12
  23. 1/3
  24. −3/7
  25. −7/9
  26. 11/18
  27. −1/4
  28. Positive
  29. 3/4
  30. −5/7
  31. Negative
  32. −3/5
  33. −2/7
  34. 7/10
  35. −1/8
  36. 1/35
  37. −3/4
  38. −13/63
  39. −1/2
  40. −2/7

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