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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 401 · 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.Is −9/(−5) positive or negative? (a) Negative (b) Positive
  2. 2.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −24/54 (b) −4/9 (c) −9/4 (d) 4/9
  3. 3.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −5/35 (c) −7/1 (d) 1/7
  4. 4.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  5. 5.Which is smaller: −1/8 or 3/5? (a) −1/8 (b) 3/5
  6. 6.What is 4/9 + (−5/6)? (a) 7/18 (b) −7/18 (c) −1/15 (d) 23/18
  7. 7.Write −4/32 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −4/32
  8. 8.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  9. 9.Which is bigger: −1/4 or 5/6? (a) −1/4 (b) 5/6
  10. 10.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −12/28
  11. 11.What is 3/5 − (−5/9)? (a) 52/45 (b) −52/45 (c) 2/45 (d) 4/7
  12. 12.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −9/12
  13. 13.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  14. 14.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  15. 15.What is 8/9 + (−1/3)? (a) 11/9 (b) −5/9 (c) 7/12 (d) 5/9
  16. 16.What is (−1/5) + 4/9? (a) −11/45 (b) 11/45 (c) 3/14 (d) −29/45
  17. 17.Which is smaller: −3/7 or −1/2? (a) −3/7 (b) −1/2
  18. 18.What is the additive inverse of 1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7
  19. 19.What is the additive inverse of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  20. 20.Is 3/4 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/3) + 4/9? (a) −7/9 (b) 1/9 (c) 1/4 (d) −1/9
  22. 22.What is (−1/5) − (−1/2)? (a) 3/10 (b) 0 (c) −3/10 (d) −7/10
  23. 23.Which is bigger: −2/9 or −2/7? (a) −2/9 (b) −2/7
  24. 24.What is (−2/5) − 3/5? (a) 1/5 (b) 1 (c) −1/2 (d) −1
  25. 25.What is (−1/6) − (−1/5)? (a) 0 (b) 1/30 (c) −11/30 (d) −1/30
  26. 26.Which is bigger: −2/9 or −2/3? (a) −2/9 (b) −2/3
  27. 27.What is 3/7 − (−1/9)? (a) 1/4 (b) −34/63 (c) 34/63 (d) 20/63
  28. 28.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −3/18 (d) −1/6
  29. 29.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −5/6 (d) −6/5
  30. 30.Is 5/6 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −5/8 or −2/3? (a) −5/8 (b) −2/3
  32. 32.What is (−3/5) − (−1/3)? (a) −14/15 (b) −1/4 (c) 4/15 (d) −4/15
  33. 33.What is (−3/7) − (−5/9)? (a) −8/63 (b) −62/63 (c) 8/63 (d) 1/8
  34. 34.What is 2/7 − (−3/5)? (a) −31/35 (b) 31/35 (c) 5/12 (d) −11/35
  35. 35.Is 4/5 positive or negative? (a) Positive (b) Negative
  36. 36.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −9/7 (d) −7/9
  37. 37.What is 1/9 − (−1/4)? (a) 13/36 (b) 2/13 (c) −5/36 (d) −13/36
  38. 38.Is 8/4 positive or negative? (a) Negative (b) Positive
  39. 39.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −16/18
  40. 40.Is −1/(−3) positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. −4/9
  3. −1/7
  4. −7/3
  5. −1/8
  6. −7/18
  7. −1/8
  8. Negative
  9. 5/6
  10. −3/7
  11. 52/45
  12. −3/4
  13. −9/2
  14. −2/5
  15. 5/9
  16. 11/45
  17. −1/2
  18. −1/7
  19. 5/9
  20. Positive
  21. 1/9
  22. 3/10
  23. −2/9
  24. −1
  25. 1/30
  26. −2/9
  27. 34/63
  28. −1/6
  29. −5/6
  30. Positive
  31. −5/8
  32. −4/15
  33. 8/63
  34. 31/35
  35. Positive
  36. −7/9
  37. 13/36
  38. Positive
  39. −8/9
  40. Positive

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