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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 753 · 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 (−4/5) − 1/5? (a) −3/5 (b) 1 (c) −1/2 (d) −1
  2. 2.What is (−1/8) + 1/4? (a) −1/8 (b) −3/8 (c) 1/8 (d) 0
  3. 3.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5
  4. 4.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  5. 5.Which is smaller: −7/9 or −7/8? (a) −7/8 (b) −7/9
  6. 6.What is (−2/9) + 1/6? (a) −7/18 (b) 1/18 (c) −1/18 (d) −1/15
  7. 7.Is −6/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  9. 9.What is (−3/7) + 1/2? (a) −2/9 (b) −13/14 (c) −1/14 (d) 1/14
  10. 10.Which is smaller: −7/9 or −3/7? (a) −7/9 (b) −3/7
  11. 11.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/8) − 1/2? (a) 3/8 (b) −5/8 (c) 5/8 (d) −1/5
  13. 13.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  14. 14.Which is bigger: −1/4 or 3/7? (a) 3/7 (b) −1/4
  15. 15.What is 5/9 + (−2/3)? (a) −1/9 (b) 1/9 (c) 11/9 (d) 1/4
  16. 16.Write −24/54 in standard form (lowest terms, positive denominator). (a) −24/54 (b) −9/4 (c) 4/9 (d) −4/9
  17. 17.What is (−3/7) + (−5/8)? (a) 59/56 (b) −8/15 (c) −59/56 (d) 11/56
  18. 18.Is 9/2 positive or negative? (a) Positive (b) Negative
  19. 19.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −5/15 (d) −3/1
  20. 20.What is (−2/5) − (−6/7)? (a) −16/35 (b) −44/35 (c) 16/35 (d) 1/3
  21. 21.What is (−3/8) + 1/8? (a) −1/8 (b) −1/4 (c) −1/2 (d) 1/4
  22. 22.What is 6/7 + (−4/7)? (a) 2/7 (b) 10/7 (c) −2/7 (d) 1/7
  23. 23.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  24. 24.Is 4/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−7/8) − 4/5? (a) 67/40 (b) −67/40 (c) −11/13 (d) −3/40
  26. 26.Which is smaller: −4/5 or −3/5? (a) −4/5 (b) −3/5
  27. 27.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −4/7 or −3/8? (a) −3/8 (b) −4/7
  29. 29.Which is bigger: −1/2 or 1/7? (a) 1/7 (b) −1/2
  30. 30.Which is bigger: −1/3 or 5/6? (a) −1/3 (b) 5/6
  31. 31.What is 2/3 − (−5/6)? (a) −1/6 (b) 3/2 (c) 7/9 (d) −3/2
  32. 32.Is 6/7 positive or negative? (a) Positive (b) Negative
  33. 33.Is −8/6 positive or negative? (a) Negative (b) Positive
  34. 34.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −30/42
  36. 36.Is 1/6 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −4/7 or −7/9? (a) −4/7 (b) −7/9
  38. 38.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−2/7) − (−4/9)? (a) 1/8 (b) −46/63 (c) 10/63 (d) −10/63
  40. 40.What is 7/9 − (−1/7)? (a) 1/2 (b) 58/63 (c) 40/63 (d) −58/63

Answer key

  1. −1
  2. 1/8
  3. −3/5
  4. −1/4
  5. −7/8
  6. −1/18
  7. Positive
  8. 3
  9. 1/14
  10. −7/9
  11. Negative
  12. −5/8
  13. −7/8
  14. 3/7
  15. −1/9
  16. −4/9
  17. −59/56
  18. Positive
  19. −1/3
  20. 16/35
  21. −1/4
  22. 2/7
  23. Positive
  24. Positive
  25. −67/40
  26. −4/5
  27. Negative
  28. −4/7
  29. 1/7
  30. 5/6
  31. 3/2
  32. Positive
  33. Negative
  34. Positive
  35. −5/7
  36. Positive
  37. −7/9
  38. Negative
  39. 10/63
  40. 58/63

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