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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 524 · 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 7/5 positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −1/2 or −6/7? (a) −1/2 (b) −6/7
  3. 3.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −24/30
  4. 4.Which is smaller: −1/3 or −5/7? (a) −1/3 (b) −5/7
  5. 5.Is −3/2 positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  7. 7.Is 9/8 positive or negative? (a) Negative (b) Positive
  8. 8.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) −7/2 (c) −2/7 (d) 2/7
  9. 9.What is 6/7 − (−5/8)? (a) 11/15 (b) 83/56 (c) 13/56 (d) −83/56
  10. 10.Which is smaller: −2/9 or −2/7? (a) −2/9 (b) −2/7
  11. 11.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/2) + 2/5? (a) 1/7 (b) −9/10 (c) −1/10 (d) 1/10
  13. 13.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −6/42 (c) −7/1 (d) −1/7
  14. 14.What is (−2/7) + (−3/4)? (a) 29/28 (b) −29/28 (c) 13/28 (d) −5/11
  15. 15.Which is smaller: −1/7 or −2/7? (a) −1/7 (b) −2/7
  16. 16.What is 7/9 + (−3/4)? (a) 4/13 (b) 1/36 (c) 55/36 (d) −1/36
  17. 17.What is (−4/5) − (−5/7)? (a) 3/35 (b) −3/35 (c) −53/35 (d) 1/12
  18. 18.Which is smaller: −3/5 or 1/4? (a) −3/5 (b) 1/4
  19. 19.What is (−1/5) − (−1/5)? (a) −2/5 (b) 0
  20. 20.What is (−2/3) + (−4/5)? (a) −3/4 (b) 22/15 (c) −22/15 (d) 2/15
  21. 21.What is (−2/3) − 4/7? (a) −26/21 (b) 26/21 (c) −2/21 (d) −3/5
  22. 22.Which is bigger: −4/7 or 1/9? (a) 1/9 (b) −4/7
  23. 23.What is (−1/7) + (−1/4)? (a) 3/28 (b) −2/11 (c) −11/28 (d) 11/28
  24. 24.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  26. 26.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  27. 27.Which is smaller: −5/6 or −3/7? (a) −3/7 (b) −5/6
  28. 28.What is 7/8 − (−3/5)? (a) 59/40 (b) 11/40 (c) −59/40 (d) 10/13
  29. 29.Which is bigger: −4/9 or 2/5? (a) 2/5 (b) −4/9
  30. 30.What is 2/9 − (−3/4)? (a) −19/36 (b) 5/13 (c) −35/36 (d) 35/36
  31. 31.Write −4/6 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −4/6 (c) 2/3 (d) −2/3
  32. 32.Is 4/9 positive or negative? (a) Positive (b) Negative
  33. 33.Which is bigger: −1/7 or −2/7? (a) −1/7 (b) −2/7
  34. 34.Which is bigger: −5/7 or −3/4? (a) −5/7 (b) −3/4
  35. 35.What is (−1/4) + 4/7? (a) 3/11 (b) 9/28 (c) −23/28 (d) −9/28
  36. 36.What is (−5/9) − 1/4? (a) −11/36 (b) 29/36 (c) −29/36 (d) −6/13
  37. 37.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−2/5) − 1/5? (a) 3/5 (b) −3/10 (c) −3/5 (d) −1/5
  39. 39.What is (−5/8) + 1/5? (a) 17/40 (b) −33/40 (c) −4/13 (d) −17/40
  40. 40.Is −9/(−5) positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. −6/7
  3. −4/5
  4. −5/7
  5. Negative
  6. −5/3
  7. Positive
  8. −2/7
  9. 83/56
  10. −2/7
  11. Positive
  12. −1/10
  13. −1/7
  14. −29/28
  15. −2/7
  16. 1/36
  17. −3/35
  18. −3/5
  19. 0
  20. −22/15
  21. −26/21
  22. 1/9
  23. −11/28
  24. Positive
  25. 7/4
  26. −1/3
  27. −5/6
  28. 59/40
  29. 2/5
  30. 35/36
  31. −2/3
  32. Positive
  33. −1/7
  34. −5/7
  35. 9/28
  36. −29/36
  37. Negative
  38. −3/5
  39. −17/40
  40. Positive

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