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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 297 · 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).

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  1. 1.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2
  2. 2.Which is smaller: −3/5 or 4/5? (a) −3/5 (b) 4/5
  3. 3.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  4. 4.What is the additive inverse of −2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  5. 5.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  6. 6.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  7. 7.What is 7/8 − (−3/8)? (a) 5/4 (b) 5/8 (c) 1/2 (d) −5/4
  8. 8.Which is smaller: −1/2 or 1/5? (a) −1/2 (b) 1/5
  9. 9.What is (−1/7) − 1/3? (a) −10/21 (b) −1/5 (c) 4/21 (d) 10/21
  10. 10.What is (−4/9) + (−1/6)? (a) −5/18 (b) −1/3 (c) 11/18 (d) −11/18
  11. 11.What is 5/6 − (−7/8)? (a) 6/7 (b) −1/24 (c) 41/24 (d) −41/24
  12. 12.What is (−1/9) − 3/7? (a) 20/63 (b) −1/4 (c) −34/63 (d) 34/63
  13. 13.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  14. 14.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −4/20 (c) 1/5 (d) −1/5
  15. 15.Write −5/35 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −5/35
  16. 16.Which is bigger: −5/7 or −5/6? (a) −5/7 (b) −5/6
  17. 17.Which is bigger: −5/6 or −7/8? (a) −7/8 (b) −5/6
  18. 18.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) −6/5 (c) 5/6 (d) −5/6
  19. 19.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  20. 20.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−7/8) − (−3/7)? (a) −73/56 (b) −4/15 (c) 25/56 (d) −25/56
  22. 22.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.What is (−5/6) − (−4/5)? (a) −1/11 (b) 1/30 (c) −49/30 (d) −1/30
  24. 24.What is (−1/9) + (−4/9)? (a) −5/18 (b) 5/9 (c) 1/3 (d) −5/9
  25. 25.What is (−7/9) − (−5/6)? (a) −29/18 (b) 1/18 (c) −1/18 (d) −2/15
  26. 26.What is (−2/3) + 6/7? (a) 2/5 (b) 4/21 (c) −32/21 (d) −4/21
  27. 27.What is (−5/7) − 2/5? (a) −11/35 (b) −7/12 (c) −39/35 (d) 39/35
  28. 28.What is (−2/9) − 4/5? (a) 46/45 (b) −46/45 (c) −3/7 (d) 26/45
  29. 29.Is 4/8 positive or negative? (a) Negative (b) Positive
  30. 30.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −5/9 (c) 5/9 (d) −9/5
  31. 31.Is 3/4 positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  33. 33.What is (−3/4) + (−3/4)? (a) −3/4 (b) −3/2 (c) 0 (d) 3/2
  34. 34.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  35. 35.Write −18/42 in standard form (lowest terms, positive denominator). (a) −18/42 (b) −3/7 (c) −7/3 (d) 3/7
  36. 36.What is (−2/3) − (−5/9)? (a) 1/4 (b) −1/9 (c) 1/9 (d) −11/9
  37. 37.Which is bigger: −8/9 or 6/7? (a) 6/7 (b) −8/9
  38. 38.What is (−5/9) + (−8/9)? (a) −13/18 (b) 13/9 (c) 1/3 (d) −13/9
  39. 39.Which is smaller: −4/5 or 1/4? (a) −4/5 (b) 1/4
  40. 40.What is (−7/8) − 2/3? (a) 37/24 (b) −9/11 (c) −5/24 (d) −37/24

Answer key

  1. −2/3
  2. −3/5
  3. 1/7
  4. 2/9
  5. 7/5
  6. 4
  7. 5/4
  8. −1/2
  9. −10/21
  10. −11/18
  11. 41/24
  12. −34/63
  13. 7/9
  14. −1/5
  15. −1/7
  16. −5/7
  17. −5/6
  18. −5/6
  19. Positive
  20. Positive
  21. −25/56
  22. Positive
  23. −1/30
  24. −5/9
  25. 1/18
  26. 4/21
  27. −39/35
  28. −46/45
  29. Positive
  30. −5/9
  31. Positive
  32. −9/7
  33. −3/2
  34. −4/3
  35. −3/7
  36. −1/9
  37. 6/7
  38. −13/9
  39. −4/5
  40. −37/24

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