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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 797 · 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 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  2. 2.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −36/42
  3. 3.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) 3/7 (d) −15/35
  4. 4.What is (−2/5) − 3/8? (a) −31/40 (b) 31/40 (c) −1/40 (d) −5/13
  5. 5.Write −5/40 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −5/40
  6. 6.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  7. 7.Which is bigger: −4/7 or 4/9? (a) 4/9 (b) −4/7
  8. 8.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) −4/1 (c) −1/4 (d) 1/4
  9. 9.What is the additive inverse of 6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  10. 10.What is (−1/5) − (−1/3)? (a) 2/15 (b) −2/15 (c) −8/15 (d) 0
  11. 11.Which is bigger: −1/7 or 1/3? (a) 1/3 (b) −1/7
  12. 12.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −15/20
  13. 13.Which is bigger: −3/5 or 5/8? (a) 5/8 (b) −3/5
  14. 14.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −8/3 (d) −12/32
  15. 15.Which is smaller: −3/8 or −1/2? (a) −1/2 (b) −3/8
  16. 16.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  17. 17.What is (−5/9) + (−2/5)? (a) −1/2 (b) 43/45 (c) −43/45 (d) −7/45
  18. 18.What is the additive inverse of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  19. 19.What is (−4/5) + (−1/4)? (a) −21/20 (b) 21/20 (c) −11/20 (d) −5/9
  20. 20.Which is bigger: −1/6 or −2/5? (a) −2/5 (b) −1/6
  21. 21.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  22. 22.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  23. 23.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.Which is smaller: −1/9 or 3/4? (a) 3/4 (b) −1/9
  25. 25.Write −25/35 in standard form (lowest terms, positive denominator). (a) −25/35 (b) −7/5 (c) 5/7 (d) −5/7
  26. 26.Which is bigger: −4/5 or 1/7? (a) 1/7 (b) −4/5
  27. 27.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  28. 28.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −3/4 (c) −4/3 (d) 3/4
  29. 29.What is (−4/5) + 3/8? (a) −17/40 (b) 17/40 (c) −1/13 (d) −47/40
  30. 30.Which is bigger: −1/9 or −4/5? (a) −1/9 (b) −4/5
  31. 31.Which is bigger: −3/7 or 6/7? (a) 6/7 (b) −3/7
  32. 32.Which is bigger: −3/7 or −2/7? (a) −2/7 (b) −3/7
  33. 33.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) 1/6 (d) −1/6
  34. 34.What is (−5/9) + 1/2? (a) −19/18 (b) −4/11 (c) 1/18 (d) −1/18
  35. 35.Which is smaller: −5/8 or −3/4? (a) −3/4 (b) −5/8
  36. 36.What is 1/9 + (−7/8)? (a) −6/17 (b) 71/72 (c) 55/72 (d) −55/72
  37. 37.What is 3/8 − (−3/5)? (a) −39/40 (b) −9/40 (c) 6/13 (d) 39/40
  38. 38.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  39. 39.Is −8/2 positive or negative? (a) Negative (b) Positive
  40. 40.Is −9/(−3) positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/7
  2. −6/7
  3. −3/7
  4. −31/40
  5. −1/8
  6. 1/6
  7. 4/9
  8. −1/4
  9. −6/7
  10. 2/15
  11. 1/3
  12. −3/4
  13. 5/8
  14. −3/8
  15. −1/2
  16. −8/9
  17. −43/45
  18. 5/9
  19. −21/20
  20. −1/6
  21. 4/3
  22. Negative
  23. Positive
  24. −1/9
  25. −5/7
  26. 1/7
  27. −5/4
  28. −3/4
  29. −17/40
  30. −1/9
  31. 6/7
  32. −2/7
  33. −1/6
  34. −1/18
  35. −3/4
  36. −55/72
  37. 39/40
  38. 6/5
  39. Negative
  40. Positive

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