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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 743 · 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: −7/8 or −4/5? (a) −7/8 (b) −4/5
  2. 2.Which is bigger: −3/4 or 2/3? (a) 2/3 (b) −3/4
  3. 3.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −24/54 (c) −4/9 (d) −9/4
  4. 4.Which is smaller: −4/9 or −1/4? (a) −4/9 (b) −1/4
  5. 5.Is −6/7 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −1/7 or −6/7? (a) −6/7 (b) −1/7
  7. 7.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  8. 8.Is 1/8 positive or negative? (a) Negative (b) Positive
  9. 9.Write −6/18 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −6/18
  10. 10.Write −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −10/18
  11. 11.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −4/18 (d) −2/9
  12. 12.What is (−1/7) + (−8/9)? (a) 65/63 (b) −9/16 (c) −65/63 (d) 47/63
  13. 13.What is (−5/7) − 5/8? (a) −75/56 (b) −5/56 (c) 75/56 (d) −2/3
  14. 14.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  15. 15.Which is bigger: −1/7 or 8/9? (a) 8/9 (b) −1/7
  16. 16.Which is bigger: −5/9 or 3/5? (a) 3/5 (b) −5/9
  17. 17.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −6/8 (d) −4/3
  18. 18.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −5/15 (c) −1/3 (d) −3/1
  19. 19.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −6/16 (d) −8/3
  20. 20.Is −4/4 positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −5/8 or −5/7? (a) −5/7 (b) −5/8
  22. 22.What is (−4/5) − (−5/6)? (a) −1/30 (b) −49/30 (c) 1/30 (d) 1/11
  23. 23.What is 2/9 − (−2/3)? (a) −8/9 (b) −4/9 (c) 1/3 (d) 8/9
  24. 24.Is 6/2 positive or negative? (a) Negative (b) Positive
  25. 25.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  26. 26.What is (−5/8) − 1/5? (a) −17/40 (b) −6/13 (c) 33/40 (d) −33/40
  27. 27.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.Write −4/32 in standard form (lowest terms, positive denominator). (a) −4/32 (b) 1/8 (c) −1/8 (d) −8/1
  29. 29.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−5/7) − (−1/9)? (a) −1/4 (b) −52/63 (c) −38/63 (d) 38/63
  31. 31.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  32. 32.What is (−3/8) − (−1/2)? (a) −1/8 (b) −7/8 (c) 1/8 (d) −1/5
  33. 33.What is (−2/7) − (−1/6)? (a) −1/13 (b) 5/42 (c) −5/42 (d) −19/42
  34. 34.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  35. 35.Which is smaller: −4/9 or 2/5? (a) 2/5 (b) −4/9
  36. 36.What is 1/2 + (−3/7)? (a) −2/9 (b) 13/14 (c) 1/14 (d) −1/14
  37. 37.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  38. 38.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −6/24
  39. 39.Which is smaller: −5/7 or 4/9? (a) −5/7 (b) 4/9
  40. 40.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) −5/9 (d) 5/9

Answer key

  1. −4/5
  2. 2/3
  3. −4/9
  4. −4/9
  5. Negative
  6. −6/7
  7. −1/4
  8. Positive
  9. −1/3
  10. −5/9
  11. −2/9
  12. −65/63
  13. −75/56
  14. 5/3
  15. 8/9
  16. 3/5
  17. −3/4
  18. −1/3
  19. −3/8
  20. Negative
  21. −5/7
  22. 1/30
  23. 8/9
  24. Positive
  25. 3/7
  26. −33/40
  27. Positive
  28. −1/8
  29. Positive
  30. −38/63
  31. −1/5
  32. 1/8
  33. −5/42
  34. 5/4
  35. −4/9
  36. 1/14
  37. 3/4
  38. −1/4
  39. −5/7
  40. −5/9

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