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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 145 · 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 −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −10/18
  2. 2.What is (−2/7) − 7/8? (a) −65/56 (b) 33/56 (c) 65/56 (d) −3/5
  3. 3.Write −6/48 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −6/48
  4. 4.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −5/9 or −4/9? (a) −4/9 (b) −5/9
  6. 6.Is 6/8 positive or negative? (a) Negative (b) Positive
  7. 7.Write −20/32 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) 5/8 (d) −20/32
  8. 8.What is 1/7 + (−4/5)? (a) 23/35 (b) −1/4 (c) −23/35 (d) 33/35
  9. 9.What is (−2/9) − 4/5? (a) 26/45 (b) 46/45 (c) −3/7 (d) −46/45
  10. 10.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −6/18 (d) 1/3
  11. 11.Which is bigger: −4/5 or −1/8? (a) −4/5 (b) −1/8
  12. 12.What is (−1/7) − 1/5? (a) 2/35 (b) −12/35 (c) −1/6 (d) 12/35
  13. 13.Which is smaller: −1/6 or −3/8? (a) −1/6 (b) −3/8
  14. 14.What is (−2/9) − 8/9? (a) 10/9 (b) −5/9 (c) 2/3 (d) −10/9
  15. 15.Is 1/4 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/7) + 5/8? (a) 27/56 (b) −27/56 (c) −43/56 (d) 4/15
  17. 17.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  18. 18.What is (−3/4) + 1/9? (a) −31/36 (b) 23/36 (c) −2/13 (d) −23/36
  19. 19.What is the additive inverse of 3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  20. 20.What is (−5/7) + 5/9? (a) −80/63 (b) −10/63 (c) 0 (d) 10/63
  21. 21.Which is smaller: −1/2 or 5/8? (a) 5/8 (b) −1/2
  22. 22.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  23. 23.Is 8/7 positive or negative? (a) Negative (b) Positive
  24. 24.What is 3/5 − (−1/4)? (a) 7/20 (b) −17/20 (c) 17/20 (d) 4/9
  25. 25.What is 5/8 − (−3/7)? (a) −59/56 (b) 11/56 (c) 8/15 (d) 59/56
  26. 26.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  27. 27.Is 2/8 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/7) − 3/7? (a) 2/7 (b) 4/7 (c) −2/7 (d) −4/7
  29. 29.What is (−1/5) − 1/7? (a) −12/35 (b) −1/6 (c) 12/35 (d) −2/35
  30. 30.Is −5/3 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−2/9) + 1/9? (a) 1/9 (b) −1/18 (c) −1/9 (d) −1/3
  32. 32.What is (−5/6) − 7/8? (a) −41/24 (b) −6/7 (c) 1/24 (d) 41/24
  33. 33.What is (−5/7) − 1/3? (a) −3/5 (b) 22/21 (c) −22/21 (d) −8/21
  34. 34.What is (−1/9) + 1/6? (a) 0 (b) 1/18 (c) −1/18 (d) −5/18
  35. 35.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −2/5 or −6/7? (a) −2/5 (b) −6/7
  37. 37.What is 7/9 − (−1/5)? (a) −44/45 (b) 44/45 (c) 26/45 (d) 4/7
  38. 38.What is (−2/5) − (−4/5)? (a) −2/5 (b) −6/5 (c) 1/5 (d) 2/5
  39. 39.Is 3/5 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −5/7 or −3/4? (a) −5/7 (b) −3/4

Answer key

  1. −5/9
  2. −65/56
  3. −1/8
  4. Negative
  5. −4/9
  6. Positive
  7. −5/8
  8. −23/35
  9. −46/45
  10. −1/3
  11. −1/8
  12. −12/35
  13. −3/8
  14. −10/9
  15. Positive
  16. 27/56
  17. −6/5
  18. −23/36
  19. −3/4
  20. −10/63
  21. −1/2
  22. 4/3
  23. Positive
  24. 17/20
  25. 59/56
  26. −5
  27. Positive
  28. −4/7
  29. −12/35
  30. Negative
  31. −1/9
  32. −41/24
  33. −22/21
  34. 1/18
  35. Negative
  36. −2/5
  37. 44/45
  38. 2/5
  39. Positive
  40. −5/7

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