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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 88 · 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: −2/9 or −1/2? (a) −1/2 (b) −2/9
  2. 2.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −6/14 (d) −3/7
  3. 3.What is (−1/2) + 1/8? (a) 0 (b) 3/8 (c) −3/8 (d) −5/8
  4. 4.What is 1/8 + (−1/4)? (a) 0 (b) 1/8 (c) −1/8 (d) 3/8
  5. 5.What is (−3/4) + 1/4? (a) −1/4 (b) 1/2 (c) −1 (d) −1/2
  6. 6.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −12/18 (d) 2/3
  7. 7.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  8. 8.Which is bigger: −2/3 or 2/9? (a) 2/9 (b) −2/3
  9. 9.What is 2/5 + (−2/7)? (a) −4/35 (b) 24/35 (c) 0 (d) 4/35
  10. 10.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.Is −1/5 positive or negative? (a) Positive (b) Negative
  12. 12.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −6/54 (c) −1/9 (d) −9/1
  13. 13.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  14. 14.Which is bigger: −1/5 or −8/9? (a) −1/5 (b) −8/9
  15. 15.Which is bigger: −7/8 or −1/2? (a) −1/2 (b) −7/8
  16. 16.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  17. 17.What is (−5/6) + (−1/5)? (a) −6/11 (b) −19/30 (c) 31/30 (d) −31/30
  18. 18.What is (−2/7) + 4/7? (a) 2/7 (b) 1/7 (c) −2/7 (d) −6/7
  19. 19.Which is smaller: −7/8 or −4/7? (a) −7/8 (b) −4/7
  20. 20.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  21. 21.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −8/18 (c) 4/9 (d) −9/4
  22. 22.What is 1/9 + (−3/7)? (a) 20/63 (b) 34/63 (c) −1/8 (d) −20/63
  23. 23.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) −7/1 (c) 1/7 (d) −1/7
  24. 24.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  25. 25.Is −6/9 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−4/7) + 1/5? (a) −27/35 (b) 13/35 (c) −13/35 (d) −1/4
  27. 27.Is −9/8 positive or negative? (a) Positive (b) Negative
  28. 28.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  29. 29.Which is smaller: −6/7 or 1/9? (a) 1/9 (b) −6/7
  30. 30.Which is bigger: −1/2 or 5/9? (a) 5/9 (b) −1/2
  31. 31.Is 9/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.Which is bigger: −5/8 or −3/7? (a) −3/7 (b) −5/8
  33. 33.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  34. 34.Write −21/27 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) 7/9 (d) −21/27
  35. 35.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −1/9 or 5/8? (a) −1/9 (b) 5/8
  37. 37.Is 5/7 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−4/7) − 5/8? (a) 67/56 (b) 3/56 (c) −3/5 (d) −67/56
  39. 39.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) −8/3 (d) 3/8
  40. 40.What is (−3/7) − (−5/8)? (a) −59/56 (b) 11/56 (c) 2/15 (d) −11/56

Answer key

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

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