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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 93 · 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 smaller: −1/4 or 5/7? (a) −1/4 (b) 5/7
  2. 2.Is 3/5 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/5) − (−3/5)? (a) 0 (b) −6/5
  4. 4.Which is bigger: −5/7 or −3/4? (a) −3/4 (b) −5/7
  5. 5.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  7. 7.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  8. 8.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  9. 9.Is 7/2 positive or negative? (a) Negative (b) Positive
  10. 10.What is 1/9 − (−7/9)? (a) −8/9 (b) −2/3 (c) 4/9 (d) 8/9
  11. 11.What is (−3/7) − (−5/8)? (a) −59/56 (b) 2/15 (c) −11/56 (d) 11/56
  12. 12.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  13. 13.What is (−1/4) − 1/7? (a) −3/28 (b) −2/11 (c) −11/28 (d) 11/28
  14. 14.Which is bigger: −3/5 or −1/2? (a) −3/5 (b) −1/2
  15. 15.What is (−7/9) − (−1/5)? (a) 26/45 (b) −3/7 (c) −26/45 (d) −44/45
  16. 16.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −1/2 or 1/4? (a) −1/2 (b) 1/4
  18. 18.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −5/20
  19. 19.Which is bigger: −1/6 or −2/3? (a) −2/3 (b) −1/6
  20. 20.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −6/48 (d) −1/8
  21. 21.Which is bigger: −3/5 or 5/7? (a) 5/7 (b) −3/5
  22. 22.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −1/4 (d) −4/1
  23. 23.Which is smaller: −5/7 or 2/9? (a) 2/9 (b) −5/7
  24. 24.What is 7/8 − (−2/5)? (a) 19/40 (b) −51/40 (c) 9/13 (d) 51/40
  25. 25.Which is smaller: −5/9 or 5/7? (a) 5/7 (b) −5/9
  26. 26.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −5/1 (d) −1/5
  27. 27.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  28. 28.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  30. 30.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  31. 31.Is 3/8 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/5) − (−2/3)? (a) 1/8 (b) −7/15 (c) 7/15 (d) −13/15
  33. 33.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) −8/3 (d) 3/8
  34. 34.Is 3/4 positive or negative? (a) Negative (b) Positive
  35. 35.Which is smaller: −1/2 or 3/7? (a) −1/2 (b) 3/7
  36. 36.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  37. 37.Is 6/(−4) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/8) − (−3/5)? (a) −39/40 (b) 0 (c) 9/40 (d) −9/40
  39. 39.What is (−1/8) + (−1/9)? (a) 17/72 (b) −1/72 (c) −2/17 (d) −17/72
  40. 40.What is 5/7 + (−5/9)? (a) 0 (b) −10/63 (c) 10/63 (d) 80/63

Answer key

  1. −1/4
  2. Positive
  3. 0
  4. −5/7
  5. Positive
  6. −5/3
  7. −3
  8. 9/4
  9. Positive
  10. 8/9
  11. 11/56
  12. 5/8
  13. −11/28
  14. −1/2
  15. −26/45
  16. Positive
  17. −1/2
  18. −1/4
  19. −1/6
  20. −1/8
  21. 5/7
  22. −1/4
  23. −5/7
  24. 51/40
  25. −5/9
  26. −1/5
  27. −4/9
  28. Positive
  29. −3/5
  30. −9/8
  31. Positive
  32. 7/15
  33. −3/8
  34. Positive
  35. −1/2
  36. Negative
  37. Negative
  38. 9/40
  39. −17/72
  40. 10/63

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