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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 102 · 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) + 1/6? (a) −1/15 (b) −7/18 (c) −1/18 (d) 1/18
  2. 2.What is 5/8 + (−3/5)? (a) −1/40 (b) 2/13 (c) 1/40 (d) 49/40
  3. 3.Is −7/8 positive or negative? (a) Negative (b) Positive
  4. 4.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −7/9 or −1/2? (a) −7/9 (b) −1/2
  6. 6.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  8. 8.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −15/25
  9. 9.What is (−3/5) + (−6/7)? (a) 9/35 (b) −3/4 (c) 51/35 (d) −51/35
  10. 10.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −12/21 (d) −4/7
  11. 11.What is (−5/7) − (−1/9)? (a) −1/4 (b) −38/63 (c) 38/63 (d) −52/63
  12. 12.What is 4/7 + (−5/8)? (a) −1/15 (b) 67/56 (c) 3/56 (d) −3/56
  13. 13.What is (−4/9) − (−4/9)? (a) 0 (b) −8/9
  14. 14.Which is bigger: −2/9 or −1/6? (a) −2/9 (b) −1/6
  15. 15.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  16. 16.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −12/54
  17. 17.Which is bigger: −5/8 or 4/9? (a) 4/9 (b) −5/8
  18. 18.What is (−3/4) − 1/2? (a) −1/4 (b) −2/3 (c) 5/4 (d) −5/4
  19. 19.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is 1/8 − (−1/2)? (a) −5/8 (b) 5/8 (c) 1/5 (d) −3/8
  21. 21.Is −5/8 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −2/3 or −2/5? (a) −2/3 (b) −2/5
  23. 23.Which is bigger: −2/9 or −1/4? (a) −1/4 (b) −2/9
  24. 24.Which is smaller: −2/5 or −3/5? (a) −3/5 (b) −2/5
  25. 25.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.Is −9/7 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −2/7 or −5/8? (a) −2/7 (b) −5/8
  28. 28.What is (−2/7) − 8/9? (a) 38/63 (b) −5/8 (c) −74/63 (d) 74/63
  29. 29.What is the additive inverse of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  30. 30.What is 7/8 − (−2/7)? (a) 3/5 (b) 65/56 (c) 33/56 (d) −65/56
  31. 31.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−7/9) + 6/7? (a) −1/16 (b) −5/63 (c) 5/63 (d) −103/63
  33. 33.What is (−3/8) − 5/6? (a) 29/24 (b) 11/24 (c) −4/7 (d) −29/24
  34. 34.What is 6/7 − (−1/6)? (a) 43/42 (b) 7/13 (c) −43/42 (d) 29/42
  35. 35.Which is smaller: −1/2 or 3/5? (a) 3/5 (b) −1/2
  36. 36.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  37. 37.Which is bigger: −7/9 or −4/9? (a) −4/9 (b) −7/9
  38. 38.What is (−6/7) + (−6/7)? (a) −6/7 (b) 0 (c) 12/7 (d) −12/7
  39. 39.What is the additive inverse of −1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  40. 40.Which is bigger: −1/2 or −4/7? (a) −4/7 (b) −1/2

Answer key

  1. −1/18
  2. 1/40
  3. Negative
  4. Positive
  5. −7/9
  6. Negative
  7. 7/4
  8. −3/5
  9. −51/35
  10. −4/7
  11. −38/63
  12. −3/56
  13. 0
  14. −1/6
  15. 5/4
  16. −2/9
  17. 4/9
  18. −5/4
  19. Negative
  20. 5/8
  21. Negative
  22. −2/3
  23. −2/9
  24. −3/5
  25. Negative
  26. Negative
  27. −5/8
  28. −74/63
  29. −8/9
  30. 65/56
  31. Negative
  32. 5/63
  33. −29/24
  34. 43/42
  35. −1/2
  36. −7/3
  37. −4/9
  38. −12/7
  39. 1/3
  40. −1/2

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