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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 598 · 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: −6/7 or −4/9? (a) −4/9 (b) −6/7
  2. 2.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  3. 3.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −1/7 or 3/4? (a) −1/7 (b) 3/4
  5. 5.Write −6/27 in standard form (lowest terms, positive denominator). (a) −6/27 (b) 2/9 (c) −2/9 (d) −9/2
  6. 6.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) −6/1 (c) −1/6 (d) 1/6
  7. 7.What is (−4/9) − 5/7? (a) −73/63 (b) 73/63 (c) −9/16 (d) 17/63
  8. 8.What is (−8/9) − 2/7? (a) −74/63 (b) −5/8 (c) 74/63 (d) −38/63
  9. 9.What is (−4/7) + (−1/6)? (a) 31/42 (b) −17/42 (c) −5/13 (d) −31/42
  10. 10.Which is smaller: −2/7 or 1/5? (a) −2/7 (b) 1/5
  11. 11.What is (−5/9) + 1/5? (a) −2/7 (b) −16/45 (c) −34/45 (d) 16/45
  12. 12.What is 2/3 + (−1/4)? (a) 11/12 (b) 1/7 (c) −5/12 (d) 5/12
  13. 13.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −30/48
  14. 14.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  15. 15.What is (−1/9) + (−5/6)? (a) −2/5 (b) −17/18 (c) 13/18 (d) 17/18
  16. 16.What is 1/9 − (−7/9)? (a) −8/9 (b) −2/3 (c) 8/9 (d) 4/9
  17. 17.What is (−1/9) + (−2/7)? (a) 25/63 (b) 11/63 (c) −25/63 (d) −3/16
  18. 18.Is −2/3 positive or negative? (a) Positive (b) Negative
  19. 19.What is 5/7 − (−1/5)? (a) −32/35 (b) 1/2 (c) 18/35 (d) 32/35
  20. 20.What is (−1/5) + 1/9? (a) 4/45 (b) 0 (c) −14/45 (d) −4/45
  21. 21.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  22. 22.Is −7/5 positive or negative? (a) Positive (b) Negative
  23. 23.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  24. 24.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  25. 25.Which is smaller: −4/9 or −7/8? (a) −7/8 (b) −4/9
  26. 26.What is (−7/9) − 3/5? (a) 62/45 (b) −8/45 (c) −62/45 (d) −5/7
  27. 27.Which is bigger: −4/5 or −3/7? (a) −3/7 (b) −4/5
  28. 28.What is (−4/7) + 4/9? (a) 0 (b) −64/63 (c) −8/63 (d) 8/63
  29. 29.Which is smaller: −7/8 or −2/5? (a) −2/5 (b) −7/8
  30. 30.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−3/5) + 4/9? (a) 1/14 (b) 7/45 (c) −47/45 (d) −7/45
  32. 32.What is 1/7 − (−6/7)? (a) 1/2 (b) 1 (c) −5/7 (d) −1
  33. 33.What is (−4/9) + 5/9? (a) 1/9 (b) −1 (c) 1/18 (d) −1/9
  34. 34.What is (−1/8) + 4/7? (a) −39/56 (b) 1/5 (c) 25/56 (d) −25/56
  35. 35.Which is smaller: −5/8 or 2/5? (a) 2/5 (b) −5/8
  36. 36.Is 5/7 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  38. 38.What is 1/2 − (−6/7)? (a) −5/14 (b) −19/14 (c) 7/9 (d) 19/14
  39. 39.What is 1/2 + (−5/9)? (a) −4/11 (b) 19/18 (c) −1/18 (d) 1/18
  40. 40.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −5/2 (c) −2/5 (d) 2/5

Answer key

  1. −6/7
  2. 3/5
  3. Negative
  4. −1/7
  5. −2/9
  6. −1/6
  7. −73/63
  8. −74/63
  9. −31/42
  10. −2/7
  11. −16/45
  12. 5/12
  13. −5/8
  14. −9/8
  15. −17/18
  16. 8/9
  17. −25/63
  18. Negative
  19. 32/35
  20. −4/45
  21. −2/5
  22. Negative
  23. 9/4
  24. 7/2
  25. −7/8
  26. −62/45
  27. −3/7
  28. −8/63
  29. −7/8
  30. Negative
  31. −7/45
  32. 1
  33. 1/9
  34. 25/56
  35. −5/8
  36. Positive
  37. −1/4
  38. 19/14
  39. −1/18
  40. −2/5

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