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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 457 · 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: −5/6 or −3/5? (a) −3/5 (b) −5/6
  2. 2.Which is bigger: −2/5 or −2/9? (a) −2/5 (b) −2/9
  3. 3.What is (−7/8) − (−4/7)? (a) −1/5 (b) −17/56 (c) 17/56 (d) −81/56
  4. 4.What is (−5/8) + 4/7? (a) 3/56 (b) −67/56 (c) −3/56 (d) −1/15
  5. 5.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −4/12
  7. 7.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  8. 8.What is (−5/7) + 2/5? (a) −1/4 (b) −11/35 (c) −39/35 (d) 11/35
  9. 9.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −2/10 (d) −1/5
  10. 10.What is the additive inverse of −2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  11. 11.What is (−2/5) − 1/8? (a) −11/40 (b) −21/40 (c) 21/40 (d) −3/13
  12. 12.What is (−5/6) + (−6/7)? (a) −11/13 (b) 71/42 (c) 1/42 (d) −71/42
  13. 13.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  15. 15.What is the additive inverse of 3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  16. 16.Which is smaller: −3/5 or 6/7? (a) 6/7 (b) −3/5
  17. 17.Which is smaller: −1/3 or −7/9? (a) −7/9 (b) −1/3
  18. 18.What is 1/9 − (−3/4)? (a) 4/13 (b) −31/36 (c) 31/36 (d) −23/36
  19. 19.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  20. 20.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −4/32 (d) −8/1
  21. 21.What is the additive inverse of 1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  22. 22.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −10/12 (b) −6/5 (c) −5/6 (d) 5/6
  23. 23.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  24. 24.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.Is 8/5 positive or negative? (a) Positive (b) Negative
  26. 26.What is 3/4 + (−3/5)? (a) 27/20 (b) 3/20 (c) −3/20 (d) 0
  27. 27.What is 2/7 + (−2/3)? (a) 0 (b) −8/21 (c) 8/21 (d) 20/21
  28. 28.What is (−3/8) − 3/4? (a) 9/8 (b) −1/2 (c) −9/8 (d) 3/8
  29. 29.What is (−1/4) − 2/7? (a) 1/28 (b) −15/28 (c) −3/11 (d) 15/28
  30. 30.What is (−1/6) + 4/5? (a) 19/30 (b) 3/11 (c) −19/30 (d) −29/30
  31. 31.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) −4/3 (d) 3/4
  32. 32.Is 4/4 positive or negative? (a) Negative (b) Positive
  33. 33.Is 1/5 positive or negative? (a) Positive (b) Negative
  34. 34.Write −10/45 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) 2/9 (d) −2/9
  35. 35.What is (−3/4) − 1/5? (a) −11/20 (b) −4/9 (c) −19/20 (d) 19/20
  36. 36.Which is bigger: −7/9 or −4/9? (a) −4/9 (b) −7/9
  37. 37.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −8/3 (c) 8/3 (d) −3/8
  38. 38.Is 7/8 positive or negative? (a) Positive (b) Negative
  39. 39.What is 5/7 + (−8/9)? (a) 11/63 (b) −3/16 (c) 101/63 (d) −11/63
  40. 40.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7

Answer key

  1. −3/5
  2. −2/9
  3. −17/56
  4. −3/56
  5. Negative
  6. −1/3
  7. 4/3
  8. −11/35
  9. −1/5
  10. 2/3
  11. −21/40
  12. −71/42
  13. Negative
  14. −3/7
  15. −3/8
  16. −3/5
  17. −7/9
  18. 31/36
  19. −1/2
  20. −1/8
  21. −1/9
  22. −5/6
  23. −3/7
  24. Positive
  25. Positive
  26. 3/20
  27. −8/21
  28. −9/8
  29. −15/28
  30. 19/30
  31. −3/4
  32. Positive
  33. Positive
  34. −2/9
  35. −19/20
  36. −4/9
  37. −8/3
  38. Positive
  39. −11/63
  40. 1/7

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