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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 565 · 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.Is 2/2 positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −3/5 or 5/9? (a) 5/9 (b) −3/5
  3. 3.What is (−2/9) + (−1/7)? (a) −23/63 (b) 23/63 (c) −3/16 (d) −5/63
  4. 4.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  5. 5.What is 1/9 − (−5/6)? (a) 2/5 (b) 17/18 (c) −13/18 (d) −17/18
  6. 6.What is 2/5 + (−4/7)? (a) 34/35 (b) 6/35 (c) −1/6 (d) −6/35
  7. 7.Which is bigger: −2/9 or 1/6? (a) −2/9 (b) 1/6
  8. 8.What is 1/2 − (−2/3)? (a) −7/6 (b) 3/5 (c) −1/6 (d) 7/6
  9. 9.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  10. 10.What is (−8/9) + (−4/5)? (a) 76/45 (b) −6/7 (c) −4/45 (d) −76/45
  11. 11.Which is bigger: −1/7 or −3/4? (a) −3/4 (b) −1/7
  12. 12.What is (−2/7) + 3/5? (a) −31/35 (b) −11/35 (c) 1/12 (d) 11/35
  13. 13.Is 4/6 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  15. 15.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −6/48 (d) −1/8
  16. 16.What is 1/7 + (−1/9)? (a) 2/63 (b) 0 (c) 16/63 (d) −2/63
  17. 17.What is (−2/3) + (−1/5)? (a) 13/15 (b) −7/15 (c) −3/8 (d) −13/15
  18. 18.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) 7/9 (c) −9/7 (d) −7/9
  19. 19.Is −4/6 positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  21. 21.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −4/3 (c) −3/4 (d) 3/4
  22. 22.Is −6/7 positive or negative? (a) Positive (b) Negative
  23. 23.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) −2/3 (d) 2/3
  24. 24.Is 7/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  26. 26.What is (−2/7) + 5/8? (a) 1/5 (b) −19/56 (c) 19/56 (d) −51/56
  27. 27.What is (−1/5) + 2/5? (a) −1/5 (b) 1/5 (c) −3/5 (d) 1/10
  28. 28.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −5/2 (d) −2/5
  29. 29.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −8/12 (b) 2/3 (c) −2/3 (d) −3/2
  30. 30.Which is smaller: −3/5 or −2/9? (a) −3/5 (b) −2/9
  31. 31.What is (−5/7) + 5/9? (a) −80/63 (b) 0 (c) −10/63 (d) 10/63
  32. 32.Is −8/4 positive or negative? (a) Negative (b) Positive
  33. 33.What is 4/7 + (−8/9)? (a) 20/63 (b) −20/63 (c) 92/63 (d) −1/4
  34. 34.What is 2/7 − (−7/8)? (a) 3/5 (b) 65/56 (c) −33/56 (d) −65/56
  35. 35.Is 9/3 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −4/5 or 2/3? (a) −4/5 (b) 2/3
  37. 37.Which is bigger: −5/8 or −4/7? (a) −5/8 (b) −4/7
  38. 38.What is 1/2 − (−5/9)? (a) −1/18 (b) −19/18 (c) 19/18 (d) 6/11
  39. 39.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  40. 40.Which is smaller: −4/7 or −1/6? (a) −1/6 (b) −4/7

Answer key

  1. Positive
  2. −3/5
  3. −23/63
  4. −3/2
  5. 17/18
  6. −6/35
  7. 1/6
  8. 7/6
  9. 5
  10. −76/45
  11. −1/7
  12. 11/35
  13. Positive
  14. 2
  15. −1/8
  16. 2/63
  17. −13/15
  18. −7/9
  19. Negative
  20. −7/6
  21. −3/4
  22. Negative
  23. −2/3
  24. Positive
  25. −5/3
  26. 19/56
  27. 1/5
  28. −2/5
  29. −2/3
  30. −3/5
  31. −10/63
  32. Negative
  33. −20/63
  34. 65/56
  35. Positive
  36. 2/3
  37. −4/7
  38. 19/18
  39. −8
  40. −4/7

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