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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 787 · 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 the additive inverse of −4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  2. 2.What is (−1/8) − 2/7? (a) −1/5 (b) 23/56 (c) 9/56 (d) −23/56
  3. 3.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) −5 (d) 5
  4. 4.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  5. 5.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  6. 6.Write −12/54 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −12/54 (c) 2/9 (d) −2/9
  7. 7.Which is bigger: −3/8 or 2/5? (a) 2/5 (b) −3/8
  8. 8.What is (−8/9) + 4/7? (a) 20/63 (b) −92/63 (c) −1/4 (d) −20/63
  9. 9.What is 4/5 − (−4/7)? (a) 2/3 (b) 8/35 (c) −48/35 (d) 48/35
  10. 10.Which is smaller: −8/9 or −1/6? (a) −1/6 (b) −8/9
  11. 11.Which is bigger: −3/5 or −1/7? (a) −3/5 (b) −1/7
  12. 12.What is (−1/5) − 2/3? (a) 13/15 (b) −13/15 (c) 7/15 (d) −3/8
  13. 13.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2
  14. 14.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −20/28
  15. 15.What is (−8/9) − (−4/9)? (a) 4/9 (b) −4/9 (c) −4/3 (d) −2/9
  16. 16.Which is smaller: −1/8 or −1/9? (a) −1/8 (b) −1/9
  17. 17.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −25/40 (d) −5/8
  18. 18.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  19. 19.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) −8/3 (d) 3/8
  20. 20.What is (−3/7) − (−1/4)? (a) −5/28 (b) −2/11 (c) 5/28 (d) −19/28
  21. 21.Write −16/36 in standard form (lowest terms, positive denominator). (a) −16/36 (b) −4/9 (c) 4/9 (d) −9/4
  22. 22.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −3/18 (d) −6/1
  23. 23.Write −4/12 in standard form (lowest terms, positive denominator). (a) −4/12 (b) −1/3 (c) 1/3 (d) −3/1
  24. 24.What is 1/3 − (−7/8)? (a) −13/24 (b) 8/11 (c) −29/24 (d) 29/24
  25. 25.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −5/45
  26. 26.Is 7/9 positive or negative? (a) Negative (b) Positive
  27. 27.What is 4/9 − (−1/9)? (a) 5/18 (b) 5/9 (c) −5/9 (d) 1/3
  28. 28.Which is bigger: −4/7 or 1/2? (a) −4/7 (b) 1/2
  29. 29.What is (−3/8) − 1/5? (a) −7/40 (b) −4/13 (c) 23/40 (d) −23/40
  30. 30.What is (−1/9) − (−5/8)? (a) −53/72 (b) 4/17 (c) 37/72 (d) −37/72
  31. 31.What is (−4/5) − (−5/9)? (a) 11/45 (b) −61/45 (c) 1/14 (d) −11/45
  32. 32.What is (−1/7) − 1/5? (a) −1/6 (b) 12/35 (c) −12/35 (d) 2/35
  33. 33.What is (−5/7) − 3/5? (a) 46/35 (b) −2/3 (c) −46/35 (d) −4/35
  34. 34.What is (−4/7) − 2/5? (a) −34/35 (b) 34/35 (c) −1/2 (d) −6/35
  35. 35.Which is bigger: −5/9 or −1/9? (a) −5/9 (b) −1/9
  36. 36.What is 1/2 − (−2/5)? (a) 1/10 (b) 3/7 (c) 9/10 (d) −9/10
  37. 37.Is 9/4 positive or negative? (a) Positive (b) Negative
  38. 38.Which is bigger: −5/9 or −8/9? (a) −5/9 (b) −8/9
  39. 39.Which is bigger: −3/8 or 3/7? (a) −3/8 (b) 3/7
  40. 40.Is 4/8 positive or negative? (a) Negative (b) Positive

Answer key

  1. 4/5
  2. −23/56
  3. 5
  4. 2/3
  5. −7
  6. −2/9
  7. 2/5
  8. −20/63
  9. 48/35
  10. −8/9
  11. −1/7
  12. −13/15
  13. −1/2
  14. −5/7
  15. −4/9
  16. −1/8
  17. −5/8
  18. −2/5
  19. −3/8
  20. −5/28
  21. −4/9
  22. −1/6
  23. −1/3
  24. 29/24
  25. −1/9
  26. Positive
  27. 5/9
  28. 1/2
  29. −23/40
  30. 37/72
  31. −11/45
  32. −12/35
  33. −46/35
  34. −34/35
  35. −1/9
  36. 9/10
  37. Positive
  38. −5/9
  39. 3/7
  40. Positive

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