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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 437 · 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 (−5/6) − 5/7? (a) −65/42 (b) −10/13 (c) 65/42 (d) −5/42
  2. 2.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−4/9) − 4/7? (a) 64/63 (b) −64/63 (c) 8/63 (d) −1/2
  4. 4.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  5. 5.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  6. 6.What is (−2/9) + 1/4? (a) −1/36 (b) −1/13 (c) 1/36 (d) −17/36
  7. 7.Which is bigger: −1/9 or −1/2? (a) −1/2 (b) −1/9
  8. 8.What is (−7/9) + (−1/9)? (a) −2/3 (b) 8/9 (c) −4/9 (d) −8/9
  9. 9.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  10. 10.Which is smaller: −1/3 or −1/9? (a) −1/3 (b) −1/9
  11. 11.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  12. 12.What is (−1/4) + (−1/5)? (a) −2/9 (b) −1/20 (c) 9/20 (d) −9/20
  13. 13.Which is bigger: −4/9 or 4/7? (a) −4/9 (b) 4/7
  14. 14.What is (−2/5) − 1/6? (a) −3/11 (b) −17/30 (c) −7/30 (d) 17/30
  15. 15.Which is bigger: −1/8 or −2/9? (a) −2/9 (b) −1/8
  16. 16.Is −8/7 positive or negative? (a) Positive (b) Negative
  17. 17.Is −4/4 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  19. 19.Is 6/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is 7/8 + (−3/5)? (a) −11/40 (b) 11/40 (c) 4/13 (d) 59/40
  21. 21.Is −9/3 positive or negative? (a) Positive (b) Negative
  22. 22.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −8/14
  23. 23.Which is bigger: −2/7 or −1/5? (a) −2/7 (b) −1/5
  24. 24.What is 2/3 + (−5/9)? (a) −1/4 (b) −1/9 (c) 11/9 (d) 1/9
  25. 25.Is 8/3 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−3/7) + (−5/8)? (a) 59/56 (b) 11/56 (c) −59/56 (d) −8/15
  27. 27.What is (−5/7) − 1/9? (a) 52/63 (b) −38/63 (c) −52/63 (d) −3/8
  28. 28.Is 8/8 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−6/7) − 5/8? (a) 83/56 (b) −13/56 (c) −83/56 (d) −11/15
  30. 30.Is 3/7 positive or negative? (a) Negative (b) Positive
  31. 31.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −2/12 (b) −1/6 (c) 1/6 (d) −6/1
  32. 32.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  33. 33.Which is smaller: −5/8 or −1/6? (a) −5/8 (b) −1/6
  34. 34.What is (−1/7) − 1/4? (a) −2/11 (b) −11/28 (c) 11/28 (d) 3/28
  35. 35.Is −6/8 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of −1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  37. 37.Is 8/4 positive or negative? (a) Negative (b) Positive
  38. 38.Is −9/9 positive or negative? (a) Negative (b) Positive
  39. 39.What is 2/3 − (−1/6)? (a) 1/2 (b) −5/6 (c) 1/3 (d) 5/6
  40. 40.Which is bigger: −4/9 or 1/8? (a) 1/8 (b) −4/9

Answer key

  1. −65/42
  2. Negative
  3. −64/63
  4. −5/3
  5. 5/8
  6. 1/36
  7. −1/9
  8. −8/9
  9. 7/8
  10. −1/3
  11. −8/3
  12. −9/20
  13. 4/7
  14. −17/30
  15. −1/8
  16. Negative
  17. Negative
  18. 9/5
  19. Positive
  20. 11/40
  21. Negative
  22. −4/7
  23. −1/5
  24. 1/9
  25. Positive
  26. −59/56
  27. −52/63
  28. Positive
  29. −83/56
  30. Positive
  31. −1/6
  32. 6
  33. −5/8
  34. −11/28
  35. Negative
  36. 1/3
  37. Positive
  38. Negative
  39. 5/6
  40. 1/8

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