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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 320 · 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 25/(−35) in standard form (lowest terms, positive denominator). (a) −25/35 (b) 5/7 (c) −5/7 (d) −7/5
  2. 2.What is (−5/9) − (−7/8)? (a) −103/72 (b) 23/72 (c) −23/72 (d) 2/17
  3. 3.Which is bigger: −1/9 or 1/3? (a) 1/3 (b) −1/9
  4. 4.Is 2/3 positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  6. 6.Which is smaller: −7/8 or 1/3? (a) 1/3 (b) −7/8
  7. 7.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  8. 8.What is 2/7 − (−7/8)? (a) −33/56 (b) 65/56 (c) −65/56 (d) 3/5
  9. 9.What is 3/7 + (−4/9)? (a) −1/16 (b) 55/63 (c) −1/63 (d) 1/63
  10. 10.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −18/21 (c) −7/6 (d) −6/7
  11. 11.Write −3/24 in standard form (lowest terms, positive denominator). (a) −3/24 (b) −8/1 (c) −1/8 (d) 1/8
  12. 12.Write −28/36 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) 7/9 (d) −28/36
  13. 13.What is (−1/8) − 1/8? (a) −1/8 (b) 1/4 (c) −1/4 (d) 0
  14. 14.What is (−1/9) − (−8/9)? (a) −7/9 (b) 7/18 (c) 7/9 (d) −1
  15. 15.What is the additive inverse of −3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  16. 16.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) 1/7 (d) −7/1
  17. 17.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  18. 18.Is 4/7 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−2/9) − 1/5? (a) −3/14 (b) −1/45 (c) −19/45 (d) 19/45
  20. 20.Which is bigger: −1/9 or −3/7? (a) −1/9 (b) −3/7
  21. 21.Is −2/7 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−2/9) − (−3/5)? (a) 1/14 (b) −17/45 (c) 17/45 (d) −37/45
  23. 23.What is 3/8 − (−1/6)? (a) −13/24 (b) 2/7 (c) 13/24 (d) 5/24
  24. 24.Is 2/5 positive or negative? (a) Negative (b) Positive
  25. 25.What is 5/8 + (−3/7)? (a) 59/56 (b) 11/56 (c) −11/56 (d) 2/15
  26. 26.What is 1/9 + (−3/8)? (a) −2/17 (b) 35/72 (c) 19/72 (d) −19/72
  27. 27.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  28. 28.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  29. 29.What is (−7/8) − 1/9? (a) 71/72 (b) −71/72 (c) −55/72 (d) −8/17
  30. 30.Is 4/4 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/7) − 1/2? (a) 13/14 (b) −13/14 (c) 1/14 (d) −4/9
  32. 32.What is the additive inverse of −4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  33. 33.What is 3/4 − (−2/7)? (a) 5/11 (b) 13/28 (c) 29/28 (d) −29/28
  34. 34.Is −4/2 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/8) + (−3/8)? (a) −1/4 (b) 1/4 (c) −1/2 (d) 1/2
  36. 36.What is (−2/9) − 5/7? (a) −59/63 (b) 31/63 (c) 59/63 (d) −7/16
  37. 37.What is (−3/4) − (−1/2)? (a) −5/4 (b) −1/3 (c) 1/4 (d) −1/4
  38. 38.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −6/24
  39. 39.What is the additive inverse of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  40. 40.What is 4/5 − (−4/5)? (a) 8/5 (b) −8/5 (c) 0 (d) 4/5

Answer key

  1. −5/7
  2. 23/72
  3. 1/3
  4. Positive
  5. 3
  6. −7/8
  7. 7/6
  8. 65/56
  9. −1/63
  10. −6/7
  11. −1/8
  12. −7/9
  13. −1/4
  14. 7/9
  15. 3/5
  16. −1/7
  17. Negative
  18. Positive
  19. −19/45
  20. −1/9
  21. Negative
  22. 17/45
  23. 13/24
  24. Positive
  25. 11/56
  26. −19/72
  27. 9
  28. 3/8
  29. −71/72
  30. Positive
  31. −13/14
  32. 4/5
  33. 29/28
  34. Negative
  35. −1/2
  36. −59/63
  37. −1/4
  38. −1/4
  39. −3/4
  40. 8/5

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