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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 450 · 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 5/9 + (−2/5)? (a) 3/14 (b) 43/45 (c) 7/45 (d) −7/45
  2. 2.Which is bigger: −4/5 or −1/2? (a) −1/2 (b) −4/5
  3. 3.What is 1/5 + (−1/2)? (a) 7/10 (b) 0 (c) −3/10 (d) 3/10
  4. 4.Which is smaller: −3/4 or −5/8? (a) −5/8 (b) −3/4
  5. 5.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) −3/7 (d) 7/3
  6. 6.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) −4/7 (c) 4/7 (d) 7/4
  8. 8.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −9/1 (d) −1/9
  10. 10.What is 5/9 + (−4/9)? (a) 1/9 (b) −1/9 (c) 1 (d) 1/18
  11. 11.Write −14/18 in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −14/18 (d) −9/7
  12. 12.Which is bigger: −1/4 or −5/6? (a) −1/4 (b) −5/6
  13. 13.Is −5/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is 7/8 − (−5/8)? (a) 1/4 (b) −3/2 (c) 3/4 (d) 3/2
  15. 15.What is (−3/4) − (−5/8)? (a) 1/6 (b) 1/8 (c) −11/8 (d) −1/8
  16. 16.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) −1/4 (c) 1/4 (d) −4/1
  18. 18.What is 3/4 + (−1/4)? (a) 1/4 (b) 1 (c) −1/2 (d) 1/2
  19. 19.What is 4/9 + (−1/5)? (a) −11/45 (b) 29/45 (c) 3/14 (d) 11/45
  20. 20.What is (−4/9) + (−2/7)? (a) −46/63 (b) −3/8 (c) 46/63 (d) −10/63
  21. 21.Is 8/2 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −2/9 or −6/7? (a) −6/7 (b) −2/9
  23. 23.Which is bigger: −2/7 or 4/5? (a) −2/7 (b) 4/5
  24. 24.Which is smaller: −4/9 or −5/8? (a) −5/8 (b) −4/9
  25. 25.Which is bigger: −8/9 or 1/4? (a) 1/4 (b) −8/9
  26. 26.What is (−1/5) + (−1/3)? (a) 2/15 (b) −1/4 (c) 8/15 (d) −8/15
  27. 27.What is (−2/9) + 7/9? (a) 5/18 (b) −5/9 (c) −1 (d) 5/9
  28. 28.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −5/1 (d) −1/5
  29. 29.What is 2/9 − (−6/7)? (a) −40/63 (b) 68/63 (c) 1/2 (d) −68/63
  30. 30.What is 2/7 − (−1/8)? (a) 1/5 (b) −23/56 (c) 23/56 (d) 9/56
  31. 31.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −10/12
  32. 32.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −6/48 (b) −8/1 (c) −1/8 (d) 1/8
  33. 33.Which is smaller: −3/4 or 3/7? (a) −3/4 (b) 3/7
  34. 34.Which is bigger: −1/3 or 7/9? (a) −1/3 (b) 7/9
  35. 35.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  36. 36.What is (−1/5) + (−5/7)? (a) 18/35 (b) −1/2 (c) 32/35 (d) −32/35
  37. 37.What is the additive inverse of 1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  38. 38.Which is smaller: −7/8 or 3/5? (a) −7/8 (b) 3/5
  39. 39.Is −5/(−3) positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7

Answer key

  1. 7/45
  2. −1/2
  3. −3/10
  4. −3/4
  5. −3/7
  6. Positive
  7. −7/4
  8. Positive
  9. −1/9
  10. 1/9
  11. −7/9
  12. −1/4
  13. Negative
  14. 3/2
  15. −1/8
  16. Negative
  17. −1/4
  18. 1/2
  19. 11/45
  20. −46/63
  21. Positive
  22. −6/7
  23. 4/5
  24. −5/8
  25. 1/4
  26. −8/15
  27. 5/9
  28. −1/5
  29. 68/63
  30. 23/56
  31. −5/6
  32. −1/8
  33. −3/4
  34. 7/9
  35. −1/3
  36. −32/35
  37. −1/6
  38. −7/8
  39. Positive
  40. −7/3

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