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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 669 · 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 bigger: −3/8 or −2/3? (a) −2/3 (b) −3/8
  2. 2.Which is bigger: −8/9 or −2/3? (a) −8/9 (b) −2/3
  3. 3.What is (−5/7) + 6/7? (a) 1/14 (b) −1/7 (c) −11/7 (d) 1/7
  4. 4.What is (−5/8) + 6/7? (a) −13/56 (b) 13/56 (c) −83/56 (d) 1/15
  5. 5.Is 2/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −3/4 or 4/5? (a) −3/4 (b) 4/5
  7. 7.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −9/21 (d) −3/7
  8. 8.What is (−4/9) + 5/9? (a) 1/18 (b) 1/9 (c) −1/9 (d) −1
  9. 9.Which is bigger: −3/8 or −4/9? (a) −4/9 (b) −3/8
  10. 10.Is 9/(−9) positive or negative? (a) Negative (b) Positive
  11. 11.What is 4/5 + (−3/5)? (a) 1/5 (b) 1/10 (c) −1/5 (d) 7/5
  12. 12.What is (−1/8) + 2/3? (a) 1/11 (b) −19/24 (c) −13/24 (d) 13/24
  13. 13.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −24/30 (d) −4/5
  14. 14.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −10/16
  15. 15.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −6/10
  16. 16.What is the additive inverse of 3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  17. 17.Is −3/3 positive or negative? (a) Negative (b) Positive
  18. 18.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −16/36
  19. 19.Is 1/7 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−5/9) + (−3/5)? (a) 2/45 (b) 52/45 (c) −52/45 (d) −4/7
  21. 21.What is (−5/6) + (−5/7)? (a) −10/13 (b) 65/42 (c) −65/42 (d) −5/42
  22. 22.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) 5/9 (c) −9/5 (d) −5/9
  23. 23.What is (−1/4) − (−4/7)? (a) 9/28 (b) −9/28 (c) −23/28 (d) 3/11
  24. 24.Is 9/2 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−2/5) − 4/7? (a) −34/35 (b) 34/35 (c) 6/35 (d) −1/2
  26. 26.Which is smaller: −3/8 or −2/5? (a) −3/8 (b) −2/5
  27. 27.What is (−5/9) − (−1/9)? (a) −4/9 (b) 4/9 (c) −2/9 (d) −2/3
  28. 28.Is 5/2 positive or negative? (a) Positive (b) Negative
  29. 29.What is 1/2 + (−5/8)? (a) 9/8 (b) 1/8 (c) −2/5 (d) −1/8
  30. 30.What is (−1/5) + 6/7? (a) −37/35 (b) 23/35 (c) 5/12 (d) −23/35
  31. 31.Write −16/18 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −16/18 (c) 8/9 (d) −9/8
  32. 32.What is (−1/7) + (−5/9)? (a) 44/63 (b) 26/63 (c) −3/8 (d) −44/63
  33. 33.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/5) + 4/5? (a) −6/5 (b) −2/5 (c) 2/5 (d) 1/5
  35. 35.What is the additive inverse of 3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  36. 36.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  38. 38.Which is smaller: −3/7 or −5/7? (a) −3/7 (b) −5/7
  39. 39.What is (−4/7) − (−1/8)? (a) −39/56 (b) −25/56 (c) −1/5 (d) 25/56
  40. 40.What is (−7/8) − (−5/6)? (a) −41/24 (b) 1/24 (c) −1/24 (d) −1/7

Answer key

  1. −3/8
  2. −2/3
  3. 1/7
  4. 13/56
  5. Negative
  6. 4/5
  7. −3/7
  8. 1/9
  9. −3/8
  10. Negative
  11. 1/5
  12. 13/24
  13. −4/5
  14. −5/8
  15. −3/5
  16. −3/7
  17. Negative
  18. −4/9
  19. Positive
  20. −52/45
  21. −65/42
  22. −5/9
  23. 9/28
  24. Positive
  25. −34/35
  26. −2/5
  27. −4/9
  28. Positive
  29. −1/8
  30. 23/35
  31. −8/9
  32. −44/63
  33. Positive
  34. 2/5
  35. −3/5
  36. Negative
  37. 1/7
  38. −5/7
  39. −25/56
  40. −1/24

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