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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 846 · 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 (−1/3) − 3/8? (a) −17/24 (b) 17/24 (c) −4/11 (d) 1/24
  2. 2.Is 1/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  4. 4.Which is smaller: −1/8 or −5/6? (a) −5/6 (b) −1/8
  5. 5.What is (−2/5) + 5/6? (a) 3/11 (b) −37/30 (c) 13/30 (d) −13/30
  6. 6.What is (−4/7) + (−2/9)? (a) −22/63 (b) −3/8 (c) 50/63 (d) −50/63
  7. 7.What is 4/5 − (−4/9)? (a) −56/45 (b) 16/45 (c) 56/45 (d) 4/7
  8. 8.What is (−4/9) + 3/7? (a) −1/16 (b) −55/63 (c) −1/63 (d) 1/63
  9. 9.Is 5/7 positive or negative? (a) Positive (b) Negative
  10. 10.What is 2/5 − (−1/8)? (a) 3/13 (b) 11/40 (c) −21/40 (d) 21/40
  11. 11.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −6/15 (d) −2/5
  12. 12.Write −48/54 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −48/54
  13. 13.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  14. 14.What is 1/9 + (−1/3)? (a) 0 (b) −2/9 (c) 4/9 (d) 2/9
  15. 15.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  16. 16.What is 5/7 − (−4/5)? (a) −3/35 (b) −53/35 (c) 3/4 (d) 53/35
  17. 17.Which is smaller: −4/7 or 5/7? (a) 5/7 (b) −4/7
  18. 18.Which is bigger: −5/9 or 3/4? (a) −5/9 (b) 3/4
  19. 19.What is the additive inverse of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  20. 20.What is (−2/3) − (−1/2)? (a) −1/5 (b) −7/6 (c) −1/6 (d) 1/6
  21. 21.What is the additive inverse of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  22. 22.What is (−3/8) − 3/4? (a) −9/8 (b) −1/2 (c) 9/8 (d) 3/8
  23. 23.What is 3/5 − (−5/6)? (a) −7/30 (b) −43/30 (c) 43/30 (d) 8/11
  24. 24.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  25. 25.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) 5/6 (c) −6/5 (d) −5/6
  26. 26.Which is bigger: −3/7 or 1/6? (a) 1/6 (b) −3/7
  27. 27.What is (−4/5) − (−8/9)? (a) 2/7 (b) 4/45 (c) −4/45 (d) −76/45
  28. 28.What is (−8/9) + (−3/5)? (a) −67/45 (b) −13/45 (c) −11/14 (d) 67/45
  29. 29.Which is smaller: −3/4 or −5/6? (a) −3/4 (b) −5/6
  30. 30.Which is bigger: −1/6 or −3/8? (a) −1/6 (b) −3/8
  31. 31.What is the additive inverse of −1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  32. 32.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −12/15
  33. 33.Which is bigger: −4/9 or 5/7? (a) −4/9 (b) 5/7
  34. 34.Which is bigger: −2/5 or 2/3? (a) −2/5 (b) 2/3
  35. 35.What is (−2/3) + 2/7? (a) −20/21 (b) −8/21 (c) 0 (d) 8/21
  36. 36.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −10/16 (c) −5/8 (d) −8/5
  37. 37.Which is bigger: −3/4 or 4/7? (a) 4/7 (b) −3/4
  38. 38.What is (−1/3) − (−8/9)? (a) −11/9 (b) −5/9 (c) 7/12 (d) 5/9
  39. 39.Which is bigger: −1/5 or −3/5? (a) −3/5 (b) −1/5
  40. 40.Is 7/(−8) positive or negative? (a) Positive (b) Negative

Answer key

  1. −17/24
  2. Positive
  3. 8/3
  4. −5/6
  5. 13/30
  6. −50/63
  7. 56/45
  8. −1/63
  9. Positive
  10. 21/40
  11. −2/5
  12. −8/9
  13. Negative
  14. −2/9
  15. Negative
  16. 53/35
  17. −4/7
  18. 3/4
  19. 3/5
  20. −1/6
  21. 7/8
  22. −9/8
  23. 43/30
  24. −3/8
  25. −5/6
  26. 1/6
  27. 4/45
  28. −67/45
  29. −5/6
  30. −1/6
  31. 1/2
  32. −4/5
  33. 5/7
  34. 2/3
  35. −8/21
  36. −5/8
  37. 4/7
  38. 5/9
  39. −1/5
  40. Negative

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