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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 556 · 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: −2/5 or 1/8? (a) 1/8 (b) −2/5
  2. 2.Which is bigger: −1/6 or −5/8? (a) −5/8 (b) −1/6
  3. 3.Which is smaller: −1/5 or −2/7? (a) −1/5 (b) −2/7
  4. 4.What is (−1/9) + (−5/6)? (a) −2/5 (b) 13/18 (c) −17/18 (d) 17/18
  5. 5.Is 6/2 positive or negative? (a) Negative (b) Positive
  6. 6.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −18/24
  7. 7.What is (−2/7) − 2/7? (a) 4/7 (b) −4/7 (c) 0 (d) −2/7
  8. 8.Which is bigger: −8/9 or −5/7? (a) −8/9 (b) −5/7
  9. 9.What is (−2/5) + (−1/4)? (a) 13/20 (b) −1/3 (c) −3/20 (d) −13/20
  10. 10.Which is bigger: −7/8 or 1/8? (a) −7/8 (b) 1/8
  11. 11.What is the additive inverse of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  12. 12.Which is smaller: −3/8 or −1/9? (a) −3/8 (b) −1/9
  13. 13.Which is bigger: −1/5 or 2/7? (a) −1/5 (b) 2/7
  14. 14.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  15. 15.Which is bigger: −5/6 or 1/4? (a) 1/4 (b) −5/6
  16. 16.Which is smaller: −3/5 or −2/3? (a) −3/5 (b) −2/3
  17. 17.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) 2/7 (c) −2/7 (d) −7/2
  18. 18.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  19. 19.Is −6/5 positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  21. 21.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −24/27 (c) −8/9 (d) 8/9
  22. 22.Which is bigger: −3/5 or −2/7? (a) −3/5 (b) −2/7
  23. 23.What is (−3/7) + 3/8? (a) −45/56 (b) −3/56 (c) 0 (d) 3/56
  24. 24.What is 1/3 − (−7/9)? (a) 2/3 (b) 10/9 (c) −4/9 (d) −10/9
  25. 25.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  26. 26.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) −9/7 (c) 7/9 (d) −7/9
  27. 27.What is (−3/4) − 5/9? (a) −47/36 (b) −8/13 (c) −7/36 (d) 47/36
  28. 28.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  29. 29.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −2/10
  30. 30.Which is bigger: −1/9 or −2/9? (a) −2/9 (b) −1/9
  31. 31.What is (−2/9) + 1/4? (a) −1/13 (b) −17/36 (c) 1/36 (d) −1/36
  32. 32.Is −7/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  34. 34.What is 7/8 + (−1/7)? (a) 41/56 (b) 2/5 (c) −41/56 (d) 57/56
  35. 35.What is (−2/9) + (−4/7)? (a) 22/63 (b) 50/63 (c) −50/63 (d) −3/8
  36. 36.What is (−1/8) + (−4/5)? (a) −5/13 (b) 27/40 (c) −37/40 (d) 37/40
  37. 37.What is (−2/3) − (−7/8)? (a) −37/24 (b) −5/24 (c) 5/11 (d) 5/24
  38. 38.What is (−1/4) − 3/4? (a) −1 (b) 1 (c) −1/2 (d) 1/2
  39. 39.What is 1/7 + (−1/6)? (a) −1/42 (b) 0 (c) 1/42 (d) 13/42
  40. 40.What is (−1/9) + (−7/8)? (a) −8/17 (b) 55/72 (c) −71/72 (d) 71/72

Answer key

  1. −2/5
  2. −1/6
  3. −2/7
  4. −17/18
  5. Positive
  6. −3/4
  7. −4/7
  8. −5/7
  9. −13/20
  10. 1/8
  11. 1/5
  12. −3/8
  13. 2/7
  14. 5/9
  15. 1/4
  16. −2/3
  17. −2/7
  18. −2/7
  19. Negative
  20. −1/3
  21. −8/9
  22. −2/7
  23. −3/56
  24. 10/9
  25. −5
  26. −7/9
  27. −47/36
  28. 9/5
  29. −1/5
  30. −1/9
  31. 1/36
  32. Negative
  33. −7
  34. 41/56
  35. −50/63
  36. −37/40
  37. 5/24
  38. −1
  39. −1/42
  40. −71/72

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