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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 690 · 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.What is 5/8 − (−5/8)? (a) 5/8 (b) 0 (c) 5/4 (d) −5/4
  2. 2.Is 1/2 positive or negative? (a) Negative (b) Positive
  3. 3.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) 5/7 (d) −7/5
  4. 4.What is (−3/5) − (−1/9)? (a) −1/7 (b) −22/45 (c) −32/45 (d) 22/45
  5. 5.What is (−3/4) + 1/2? (a) 1/4 (b) −5/4 (c) −1/3 (d) −1/4
  6. 6.What is (−7/8) + 3/8? (a) −1/4 (b) −5/4 (c) 1/2 (d) −1/2
  7. 7.Which is bigger: −1/5 or 7/8? (a) 7/8 (b) −1/5
  8. 8.Is 7/4 positive or negative? (a) Negative (b) Positive
  9. 9.Is −8/5 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −1/6 or 6/7? (a) −1/6 (b) 6/7
  11. 11.Which is smaller: −4/5 or −3/5? (a) −4/5 (b) −3/5
  12. 12.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.Which is bigger: −1/2 or −1/7? (a) −1/2 (b) −1/7
  14. 14.Which is smaller: −1/7 or −1/3? (a) −1/3 (b) −1/7
  15. 15.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  16. 16.What is (−7/8) − (−2/5)? (a) −51/40 (b) 19/40 (c) −5/13 (d) −19/40
  17. 17.What is 4/9 − (−5/8)? (a) 77/72 (b) 9/17 (c) −13/72 (d) −77/72
  18. 18.Is 1/8 positive or negative? (a) Positive (b) Negative
  19. 19.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) 1/2 (d) −1/2
  20. 20.What is (−3/5) + 4/9? (a) −47/45 (b) −7/45 (c) 1/14 (d) 7/45
  21. 21.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  22. 22.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  23. 23.Which is bigger: −7/9 or −1/9? (a) −7/9 (b) −1/9
  24. 24.Which is bigger: −5/7 or −4/9? (a) −5/7 (b) −4/9
  25. 25.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  26. 26.Write −4/36 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −4/36
  27. 27.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  28. 28.Which is bigger: −2/9 or −5/9? (a) −5/9 (b) −2/9
  29. 29.What is 3/8 + (−4/7)? (a) −1/15 (b) 53/56 (c) −11/56 (d) 11/56
  30. 30.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  31. 31.Which is bigger: −2/7 or 2/3? (a) 2/3 (b) −2/7
  32. 32.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) −5/2 (c) −2/5 (d) 2/5
  33. 33.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −8/28
  34. 34.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −10/14 (d) −5/7
  35. 35.Is 3/2 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/8 or −2/7? (a) −1/8 (b) −2/7
  37. 37.Which is bigger: −1/4 or −3/4? (a) −1/4 (b) −3/4
  38. 38.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −2/5 or −1/9? (a) −1/9 (b) −2/5
  40. 40.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5

Answer key

  1. 5/4
  2. Positive
  3. −5/7
  4. −22/45
  5. −1/4
  6. −1/2
  7. 7/8
  8. Positive
  9. Negative
  10. −1/6
  11. −4/5
  12. Positive
  13. −1/7
  14. −1/3
  15. 5/8
  16. −19/40
  17. 77/72
  18. Positive
  19. −1/2
  20. −7/45
  21. Negative
  22. Negative
  23. −1/9
  24. −4/9
  25. −3/8
  26. −1/9
  27. −2/5
  28. −2/9
  29. −11/56
  30. −7/6
  31. 2/3
  32. −2/5
  33. −2/7
  34. −5/7
  35. Positive
  36. −1/8
  37. −1/4
  38. Negative
  39. −1/9
  40. 5

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