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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 24 · 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 2/9 + (−1/5)? (a) −1/45 (b) 1/14 (c) 1/45 (d) 19/45
  2. 2.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/7) − (−1/4)? (a) −19/28 (b) 5/28 (c) −5/28 (d) −2/11
  4. 4.Is −5/2 positive or negative? (a) Negative (b) Positive
  5. 5.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  6. 6.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −21/27 (d) −9/7
  7. 7.Which is bigger: −3/5 or −1/3? (a) −3/5 (b) −1/3
  8. 8.What is (−5/7) − (−1/9)? (a) −38/63 (b) −1/4 (c) −52/63 (d) 38/63
  9. 9.Is −4/6 positive or negative? (a) Positive (b) Negative
  10. 10.Is −5/5 positive or negative? (a) Positive (b) Negative
  11. 11.Is 3/9 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−5/9) − (−2/5)? (a) −7/45 (b) −3/14 (c) 7/45 (d) −43/45
  13. 13.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) 3/4 (c) −4/3 (d) −3/4
  14. 14.What is 1/3 − (−3/8)? (a) −1/24 (b) 17/24 (c) 4/11 (d) −17/24
  15. 15.Is 2/9 positive or negative? (a) Negative (b) Positive
  16. 16.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  17. 17.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) −6/1 (c) 1/6 (d) −1/6
  18. 18.Which is bigger: −4/5 or −5/9? (a) −5/9 (b) −4/5
  19. 19.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.Is −2/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  22. 22.Which is smaller: −7/9 or −2/3? (a) −7/9 (b) −2/3
  23. 23.What is 6/7 − (−5/8)? (a) 11/15 (b) 13/56 (c) −83/56 (d) 83/56
  24. 24.What is 1/6 − (−4/7)? (a) −17/42 (b) −31/42 (c) 5/13 (d) 31/42
  25. 25.Which is smaller: −1/4 or −1/3? (a) −1/4 (b) −1/3
  26. 26.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −3/5 or 2/9? (a) 2/9 (b) −3/5
  28. 28.What is the additive inverse of −2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  29. 29.Which is bigger: −1/4 or −5/9? (a) −1/4 (b) −5/9
  30. 30.Is −6/3 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−8/9) − (−1/3)? (a) −7/12 (b) −11/9 (c) 5/9 (d) −5/9
  32. 32.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  33. 33.What is (−1/2) − 7/9? (a) 5/18 (b) 23/18 (c) −8/11 (d) −23/18
  34. 34.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −8/7 (d) −14/16
  35. 35.What is (−1/3) + 3/8? (a) −1/24 (b) −17/24 (c) 1/24 (d) 2/11
  36. 36.What is (−7/8) + 3/7? (a) 25/56 (b) −4/15 (c) −73/56 (d) −25/56
  37. 37.Which is smaller: −3/5 or −3/4? (a) −3/4 (b) −3/5
  38. 38.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  39. 39.Which is bigger: −2/9 or 1/8? (a) −2/9 (b) 1/8
  40. 40.What is (−1/7) − (−7/9)? (a) −40/63 (b) 3/8 (c) 40/63 (d) −58/63

Answer key

  1. 1/45
  2. Positive
  3. −5/28
  4. Negative
  5. 7/8
  6. −7/9
  7. −1/3
  8. −38/63
  9. Negative
  10. Negative
  11. Positive
  12. −7/45
  13. −3/4
  14. 17/24
  15. Positive
  16. Positive
  17. −1/6
  18. −5/9
  19. Positive
  20. Positive
  21. 8/3
  22. −7/9
  23. 83/56
  24. 31/42
  25. −1/3
  26. Negative
  27. −3/5
  28. 2/5
  29. −1/4
  30. Negative
  31. −5/9
  32. −2
  33. −23/18
  34. −7/8
  35. 1/24
  36. −25/56
  37. −3/4
  38. 8/7
  39. 1/8
  40. 40/63

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