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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 368 · 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.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−1/9) + (−1/9)? (a) 0 (b) 2/9 (c) −1/9 (d) −2/9
  3. 3.Which is smaller: −1/6 or −3/5? (a) −1/6 (b) −3/5
  4. 4.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −36/42 (d) 6/7
  5. 5.Which is bigger: −3/5 or 3/4? (a) −3/5 (b) 3/4
  6. 6.Is −7/8 positive or negative? (a) Negative (b) Positive
  7. 7.What is 6/7 + (−5/7)? (a) −1/7 (b) 11/7 (c) 1/7 (d) 1/14
  8. 8.Write −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −24/30 (d) −4/5
  9. 9.Is 4/9 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−5/9) + 4/9? (a) 1/9 (b) −1/18 (c) −1 (d) −1/9
  11. 11.Which is bigger: −3/7 or 8/9? (a) 8/9 (b) −3/7
  12. 12.Which is bigger: −2/7 or −3/7? (a) −2/7 (b) −3/7
  13. 13.Which is smaller: −2/3 or −1/2? (a) −2/3 (b) −1/2
  14. 14.Write −4/6 in standard form (lowest terms, positive denominator). (a) −4/6 (b) −3/2 (c) −2/3 (d) 2/3
  15. 15.What is (−5/6) − (−1/8)? (a) −23/24 (b) −2/7 (c) 17/24 (d) −17/24
  16. 16.What is (−2/7) − (−2/9)? (a) 0 (b) −32/63 (c) 4/63 (d) −4/63
  17. 17.Which is bigger: −3/7 or 1/6? (a) −3/7 (b) 1/6
  18. 18.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  19. 19.Which is bigger: −5/8 or 2/7? (a) 2/7 (b) −5/8
  20. 20.What is (−3/5) − 4/7? (a) −41/35 (b) −7/12 (c) −1/35 (d) 41/35
  21. 21.What is 3/5 − (−4/7)? (a) 7/12 (b) −41/35 (c) 1/35 (d) 41/35
  22. 22.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  23. 23.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  24. 24.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −12/14
  25. 25.Which is smaller: −7/9 or 1/7? (a) −7/9 (b) 1/7
  26. 26.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) 1/9 (d) −9/1
  27. 27.What is the additive inverse of 5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  28. 28.Which is bigger: −1/6 or 7/9? (a) −1/6 (b) 7/9
  29. 29.What is (−2/5) − 3/5? (a) 1/5 (b) −1 (c) −1/2 (d) 1
  30. 30.What is 2/3 + (−1/9)? (a) −5/9 (b) 7/9 (c) 1/12 (d) 5/9
  31. 31.What is 3/7 + (−7/9)? (a) 76/63 (b) −1/4 (c) 22/63 (d) −22/63
  32. 32.Which is bigger: −1/5 or −4/5? (a) −1/5 (b) −4/5
  33. 33.Which is bigger: −4/5 or −2/3? (a) −2/3 (b) −4/5
  34. 34.What is (−3/7) + 1/4? (a) −2/11 (b) −5/28 (c) 5/28 (d) −19/28
  35. 35.What is (−7/8) + 3/8? (a) −5/4 (b) 1/2 (c) −1/2 (d) −1/4
  36. 36.Is 7/9 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of −1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  38. 38.Which is smaller: −2/7 or −4/7? (a) −4/7 (b) −2/7
  39. 39.Is −3/3 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−7/9) + (−1/4)? (a) −8/13 (b) −19/36 (c) −37/36 (d) 37/36

Answer key

  1. Negative
  2. −2/9
  3. −3/5
  4. −6/7
  5. 3/4
  6. Negative
  7. 1/7
  8. −4/5
  9. Positive
  10. −1/9
  11. 8/9
  12. −2/7
  13. −2/3
  14. −2/3
  15. −17/24
  16. −4/63
  17. 1/6
  18. 4
  19. 2/7
  20. −41/35
  21. 41/35
  22. −1/4
  23. −3/5
  24. −6/7
  25. −7/9
  26. −1/9
  27. −5/7
  28. 7/9
  29. −1
  30. 5/9
  31. −22/63
  32. −1/5
  33. −2/3
  34. −5/28
  35. −1/2
  36. Positive
  37. 1/6
  38. −4/7
  39. Negative
  40. −37/36

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