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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 531 · 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 the additive inverse of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  2. 2.Is −2/9 positive or negative? (a) Positive (b) Negative
  3. 3.Write −40/45 in standard form (lowest terms, positive denominator). (a) −40/45 (b) −8/9 (c) 8/9 (d) −9/8
  4. 4.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  5. 5.What is 1/3 + (−1/4)? (a) 7/12 (b) 0 (c) 1/12 (d) −1/12
  6. 6.What is (−5/9) − (−3/4)? (a) −7/36 (b) −47/36 (c) −2/13 (d) 7/36
  7. 7.What is (−5/8) − (−4/7)? (a) 3/56 (b) −67/56 (c) −3/56 (d) −1/15
  8. 8.Which is smaller: −2/3 or 1/2? (a) −2/3 (b) 1/2
  9. 9.Is −6/3 positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −7/8 or 3/8? (a) 3/8 (b) −7/8
  11. 11.What is (−3/7) + (−3/5)? (a) −36/35 (b) 36/35 (c) −1/2 (d) 6/35
  12. 12.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) −7/5 (d) 5/7
  13. 13.Is 4/8 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−7/9) − 3/7? (a) −22/63 (b) −76/63 (c) 76/63 (d) −5/8
  15. 15.What is (−1/8) − 1/4? (a) 1/8 (b) −3/8 (c) −1/6 (d) 3/8
  16. 16.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  17. 17.Is −6/9 positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −3/7 or 3/4? (a) 3/4 (b) −3/7
  19. 19.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/2) + 1/3? (a) −1/6 (b) 0 (c) −5/6 (d) 1/6
  21. 21.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  22. 22.What is (−5/9) + (−5/9)? (a) 0 (b) 10/9 (c) −10/9 (d) −5/9
  23. 23.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  24. 24.What is 7/8 + (−1/9)? (a) −55/72 (b) 6/17 (c) 71/72 (d) 55/72
  25. 25.What is 7/9 + (−2/5)? (a) 53/45 (b) 17/45 (c) −17/45 (d) 5/14
  26. 26.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −2/10 (d) 1/5
  27. 27.Which is bigger: −7/9 or −6/7? (a) −7/9 (b) −6/7
  28. 28.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is 4/7 + (−2/9)? (a) −22/63 (b) 1/8 (c) 22/63 (d) 50/63
  30. 30.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −16/20 (b) −4/5 (c) −5/4 (d) 4/5
  31. 31.Write −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −4/24 (c) −1/6 (d) 1/6
  32. 32.What is 1/3 − (−1/2)? (a) 5/6 (b) 2/5 (c) −1/6 (d) −5/6
  33. 33.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  34. 34.Which is smaller: −8/9 or −2/7? (a) −2/7 (b) −8/9
  35. 35.Which is bigger: −3/7 or −8/9? (a) −8/9 (b) −3/7
  36. 36.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  37. 37.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  38. 38.Which is smaller: −1/2 or 1/5? (a) 1/5 (b) −1/2
  39. 39.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  40. 40.Which is bigger: −5/8 or 1/2? (a) −5/8 (b) 1/2

Answer key

  1. −1/8
  2. Negative
  3. −8/9
  4. −9/7
  5. 1/12
  6. 7/36
  7. −3/56
  8. −2/3
  9. Negative
  10. 3/8
  11. −36/35
  12. −5/7
  13. Positive
  14. −76/63
  15. −3/8
  16. 5/8
  17. Negative
  18. −3/7
  19. Positive
  20. −1/6
  21. −3/8
  22. −10/9
  23. −5/4
  24. 55/72
  25. 17/45
  26. −1/5
  27. −7/9
  28. Positive
  29. 22/63
  30. −4/5
  31. −1/6
  32. 5/6
  33. 9
  34. −8/9
  35. −3/7
  36. 9/2
  37. 6/5
  38. −1/2
  39. −5/2
  40. 1/2

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