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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 40 · 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.Write −6/21 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −6/21 (c) 2/7 (d) −7/2
  2. 2.What is (−3/7) + (−1/7)? (a) −4/7 (b) 4/7 (c) −2/7
  3. 3.Is −5/4 positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −3/5 or 3/7? (a) 3/7 (b) −3/5
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  6. 6.Which is smaller: −5/6 or 1/4? (a) 1/4 (b) −5/6
  7. 7.Which is bigger: −3/7 or −2/7? (a) −3/7 (b) −2/7
  8. 8.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −5/40 (b) −8/1 (c) −1/8 (d) 1/8
  9. 9.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −3/27 (d) −1/9
  10. 10.What is (−2/5) + 2/5? (a) −4/5 (b) 0
  11. 11.What is (−4/5) − (−1/7)? (a) 23/35 (b) −1/4 (c) −33/35 (d) −23/35
  12. 12.Which is bigger: −1/5 or 5/7? (a) 5/7 (b) −1/5
  13. 13.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −5/15 (d) −1/3
  14. 14.Is −3/5 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−6/7) − 1/7? (a) −5/7 (b) −1 (c) −1/2 (d) 1
  16. 16.What is (−1/4) + 1/2? (a) −3/4 (b) 0 (c) −1/4 (d) 1/4
  17. 17.What is (−5/9) + 1/5? (a) −16/45 (b) −34/45 (c) 16/45 (d) −2/7
  18. 18.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  19. 19.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  20. 20.Which is smaller: −3/4 or −1/4? (a) −3/4 (b) −1/4
  21. 21.Which is bigger: −3/8 or −3/4? (a) −3/8 (b) −3/4
  22. 22.What is 5/9 − (−1/7)? (a) 3/8 (b) 44/63 (c) −44/63 (d) 26/63
  23. 23.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) 6/7 (d) −7/6
  24. 24.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  25. 25.Which is bigger: −7/8 or 3/5? (a) 3/5 (b) −7/8
  26. 26.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  27. 27.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −7/9 (d) −9/7
  28. 28.What is (−1/5) − (−4/9)? (a) −11/45 (b) 3/14 (c) −29/45 (d) 11/45
  29. 29.What is 1/8 − (−3/5)? (a) −29/40 (b) −19/40 (c) 29/40 (d) 4/13
  30. 30.Which is smaller: −6/7 or −7/9? (a) −6/7 (b) −7/9
  31. 31.Which is bigger: −4/7 or −1/9? (a) −1/9 (b) −4/7
  32. 32.What is (−1/2) − (−2/7)? (a) −11/14 (b) −3/14 (c) 1/9 (d) 3/14
  33. 33.Which is smaller: −5/9 or −1/9? (a) −5/9 (b) −1/9
  34. 34.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −5/2 (d) −2/5
  35. 35.What is 1/7 + (−3/5)? (a) −1/6 (b) 26/35 (c) −16/35 (d) 16/35
  36. 36.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −16/20 (b) −5/4 (c) −4/5 (d) 4/5
  37. 37.What is 1/3 − (−5/6)? (a) 7/6 (b) −1/2 (c) 2/3 (d) −7/6
  38. 38.What is 5/9 + (−4/9)? (a) 1 (b) −1/9 (c) 1/18 (d) 1/9
  39. 39.Which is smaller: −5/9 or −1/8? (a) −1/8 (b) −5/9
  40. 40.What is 1/8 + (−1/9)? (a) −1/72 (b) 17/72 (c) 0 (d) 1/72

Answer key

  1. −2/7
  2. −4/7
  3. Negative
  4. −3/5
  5. 5/2
  6. −5/6
  7. −2/7
  8. −1/8
  9. −1/9
  10. 0
  11. −23/35
  12. 5/7
  13. −1/3
  14. Negative
  15. −1
  16. 1/4
  17. −16/45
  18. −7/2
  19. 4/3
  20. −3/4
  21. −3/8
  22. 44/63
  23. −6/7
  24. 4/9
  25. 3/5
  26. 1/4
  27. −7/9
  28. 11/45
  29. 29/40
  30. −6/7
  31. −1/9
  32. −3/14
  33. −5/9
  34. −2/5
  35. −16/35
  36. −4/5
  37. 7/6
  38. 1/9
  39. −5/9
  40. 1/72

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