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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 64 · 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: −5/8 or 3/7? (a) −5/8 (b) 3/7
  2. 2.Is 5/7 positive or negative? (a) Positive (b) Negative
  3. 3.What is 1/6 + (−1/6)? (a) 1/3 (b) 0
  4. 4.What is the additive inverse of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  5. 5.What is (−8/9) + 2/9? (a) −10/9 (b) −2/3 (c) −1/3 (d) 2/3
  6. 6.What is (−2/3) + (−1/9)? (a) −1/4 (b) −5/9 (c) 7/9 (d) −7/9
  7. 7.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  8. 8.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  9. 9.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  10. 10.Is 4/3 positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −1/9 or −1/4? (a) −1/4 (b) −1/9
  12. 12.What is (−1/3) + (−3/5)? (a) 4/15 (b) −14/15 (c) 14/15 (d) −1/2
  13. 13.Which is bigger: −7/9 or 4/7? (a) 4/7 (b) −7/9
  14. 14.What is (−8/9) + (−1/6)? (a) −13/18 (b) −3/5 (c) 19/18 (d) −19/18
  15. 15.What is (−3/4) + 2/9? (a) −19/36 (b) 19/36 (c) −35/36 (d) −1/13
  16. 16.Is 4/2 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−1/2) − 1/2? (a) 1 (b) −1/2 (c) −1 (d) 0
  18. 18.What is (−1/5) − (−1/6)? (a) 1/30 (b) 0 (c) −1/30 (d) −11/30
  19. 19.Which is bigger: −8/9 or −2/7? (a) −2/7 (b) −8/9
  20. 20.Which is bigger: −1/7 or 1/4? (a) −1/7 (b) 1/4
  21. 21.What is the additive inverse of −3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  22. 22.What is 8/9 + (−2/7)? (a) −38/63 (b) 74/63 (c) 3/8 (d) 38/63
  23. 23.Which is smaller: −4/5 or −4/7? (a) −4/5 (b) −4/7
  24. 24.Which is bigger: −1/4 or 1/2? (a) 1/2 (b) −1/4
  25. 25.What is (−4/5) + 1/2? (a) −13/10 (b) −3/7 (c) 3/10 (d) −3/10
  26. 26.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) −4/7 (d) 4/7
  27. 27.What is 1/4 − (−5/8)? (a) −7/8 (b) −3/8 (c) 1/2 (d) 7/8
  28. 28.What is (−2/9) + 1/6? (a) −1/15 (b) −7/18 (c) −1/18 (d) 1/18
  29. 29.Write −12/32 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −12/32 (d) −3/8
  30. 30.What is (−4/5) − 1/5? (a) −3/5 (b) −1/2 (c) 1 (d) −1
  31. 31.What is 3/4 + (−2/9)? (a) 19/36 (b) 35/36 (c) −19/36 (d) 1/13
  32. 32.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −25/35
  33. 33.What is (−3/8) + (−1/8)? (a) −1/2 (b) 1/2 (c) −1/4
  34. 34.Which is bigger: −2/5 or 1/3? (a) 1/3 (b) −2/5
  35. 35.Which is smaller: −1/5 or 8/9? (a) −1/5 (b) 8/9
  36. 36.Which is bigger: −1/7 or −4/9? (a) −4/9 (b) −1/7
  37. 37.What is (−7/8) − (−1/9)? (a) 55/72 (b) −55/72 (c) −6/17 (d) −71/72
  38. 38.Which is bigger: −5/8 or 1/3? (a) −5/8 (b) 1/3
  39. 39.What is 1/3 + (−2/7)? (a) −1/10 (b) 1/21 (c) 13/21 (d) −1/21
  40. 40.Is 9/(−5) positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/8
  2. Positive
  3. 0
  4. −6/7
  5. −2/3
  6. −7/9
  7. Negative
  8. −2/9
  9. 8
  10. Positive
  11. −1/9
  12. −14/15
  13. 4/7
  14. −19/18
  15. −19/36
  16. Positive
  17. −1
  18. −1/30
  19. −2/7
  20. 1/4
  21. 3/8
  22. 38/63
  23. −4/5
  24. 1/2
  25. −3/10
  26. −4/7
  27. 7/8
  28. −1/18
  29. −3/8
  30. −1
  31. 19/36
  32. −5/7
  33. −1/2
  34. 1/3
  35. −1/5
  36. −1/7
  37. −55/72
  38. 1/3
  39. 1/21
  40. Negative

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