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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 226 · 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: −3/7 or 2/9? (a) 2/9 (b) −3/7
  2. 2.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) 1/5 (d) −1/5
  3. 3.Is −7/5 positive or negative? (a) Negative (b) Positive
  4. 4.Is 1/2 positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −1/5 or −7/8? (a) −1/5 (b) −7/8
  6. 6.What is the additive inverse of −2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  7. 7.What is (−1/3) + (−2/3)? (a) −1 (b) 1/3 (c) 1 (d) −1/2
  8. 8.What is (−2/9) + 1/6? (a) −7/18 (b) 1/18 (c) −1/15 (d) −1/18
  9. 9.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −6/5 (d) −5/6
  10. 10.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −40/45 (b) 8/9 (c) −8/9 (d) −9/8
  11. 11.What is (−1/2) − 3/7? (a) −13/14 (b) 13/14 (c) −4/9 (d) −1/14
  12. 12.Which is bigger: −1/8 or −5/8? (a) −5/8 (b) −1/8
  13. 13.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  15. 15.What is (−1/5) + (−3/8)? (a) 7/40 (b) −4/13 (c) 23/40 (d) −23/40
  16. 16.What is (−3/8) − (−4/5)? (a) 17/40 (b) 1/13 (c) −47/40 (d) −17/40
  17. 17.Which is bigger: −5/6 or −2/5? (a) −2/5 (b) −5/6
  18. 18.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/4 (d) −2/1
  19. 19.What is (−2/9) + 1/4? (a) 1/36 (b) −1/13 (c) −1/36 (d) −17/36
  20. 20.Is −2/7 positive or negative? (a) Positive (b) Negative
  21. 21.Is −2/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  23. 23.What is (−4/5) + (−2/9)? (a) 46/45 (b) −26/45 (c) −3/7 (d) −46/45
  24. 24.Write −14/16 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −14/16
  25. 25.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/5) − (−1/2)? (a) 3/10 (b) −3/10 (c) 0 (d) −7/10
  27. 27.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  28. 28.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  29. 29.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  30. 30.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  31. 31.What is 8/9 − (−7/8)? (a) 1/72 (b) −127/72 (c) 15/17 (d) 127/72
  32. 32.What is (−2/7) + (−1/3)? (a) 13/21 (b) −3/10 (c) 1/21 (d) −13/21
  33. 33.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) 2/3 (d) −2/3
  34. 34.What is (−1/5) − (−4/5)? (a) 3/5 (b) −3/5 (c) −1 (d) 3/10
  35. 35.What is 1/8 − (−1/6)? (a) 7/24 (b) 1/7 (c) −1/24 (d) −7/24
  36. 36.What is (−2/9) − (−1/4)? (a) −1/36 (b) −1/13 (c) 1/36 (d) −17/36
  37. 37.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  38. 38.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  39. 39.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−1/5) + (−1/7)? (a) −2/35 (b) −12/35 (c) −1/6 (d) 12/35

Answer key

  1. 2/9
  2. −1/5
  3. Negative
  4. Positive
  5. −7/8
  6. 2/3
  7. −1
  8. −1/18
  9. −5/6
  10. −8/9
  11. −13/14
  12. −1/8
  13. Negative
  14. −5/3
  15. −23/40
  16. 17/40
  17. −2/5
  18. −1/2
  19. 1/36
  20. Negative
  21. Negative
  22. 5/7
  23. −46/45
  24. −7/8
  25. Negative
  26. 3/10
  27. −8/7
  28. 1/5
  29. Positive
  30. Negative
  31. 127/72
  32. −13/21
  33. −2/3
  34. 3/5
  35. 7/24
  36. 1/36
  37. −9/7
  38. 6
  39. Negative
  40. −12/35

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