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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 993 · 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: −3/5 or −2/7? (a) −2/7 (b) −3/5
  2. 2.Is 8/3 positive or negative? (a) Positive (b) Negative
  3. 3.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) 2/3 (c) −3/2 (d) −2/3
  4. 4.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −5/20 (c) −4/1 (d) 1/4
  5. 5.Is −6/2 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −2/7 or −1/2? (a) −1/2 (b) −2/7
  7. 7.What is (−2/7) + 1/4? (a) −15/28 (b) −1/11 (c) −1/28 (d) 1/28
  8. 8.Which is smaller: −2/9 or 1/7? (a) 1/7 (b) −2/9
  9. 9.Which is smaller: −4/7 or 2/3? (a) 2/3 (b) −4/7
  10. 10.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −12/15
  11. 11.Is 2/7 positive or negative? (a) Positive (b) Negative
  12. 12.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  13. 13.What is the additive inverse of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  14. 14.Write −36/42 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −36/42
  15. 15.Is −1/2 positive or negative? (a) Negative (b) Positive
  16. 16.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −10/12
  17. 17.What is 4/5 − (−2/5)? (a) 3/5 (b) −6/5 (c) 6/5 (d) 2/5
  18. 18.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −2/8 (b) −1/4 (c) 1/4 (d) −4/1
  19. 19.What is 2/7 + (−2/9)? (a) 4/63 (b) 32/63 (c) 0 (d) −4/63
  20. 20.Is −3/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of 5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  22. 22.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) −1/5 (d) 1/5
  23. 23.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −1/4 (c) 1/4 (d) −4/1
  24. 24.What is the additive inverse of −2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  25. 25.What is (−2/5) + (−7/8)? (a) 19/40 (b) −51/40 (c) 51/40 (d) −9/13
  26. 26.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −6/15
  27. 27.What is (−2/3) − 3/5? (a) 19/15 (b) −5/8 (c) −19/15 (d) −1/15
  28. 28.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  29. 29.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −4/9 or −3/8? (a) −4/9 (b) −3/8
  31. 31.What is (−1/7) + (−1/2)? (a) −9/14 (b) −2/9 (c) 9/14 (d) 5/14
  32. 32.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −18/21 (d) −6/7
  33. 33.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −3/8 or 8/9? (a) −3/8 (b) 8/9
  35. 35.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  36. 36.What is 2/7 − (−3/5)? (a) 31/35 (b) −11/35 (c) −31/35 (d) 5/12
  37. 37.What is 7/8 + (−7/9)? (a) 119/72 (b) −7/72 (c) 7/72 (d) 0
  38. 38.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) 1/9 (c) −9/1 (d) −1/9
  39. 39.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) 2/9 (d) −2/9
  40. 40.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4

Answer key

  1. −2/7
  2. Positive
  3. −2/3
  4. −1/4
  5. Negative
  6. −1/2
  7. −1/28
  8. −2/9
  9. −4/7
  10. −4/5
  11. Positive
  12. 3/4
  13. −2/3
  14. −6/7
  15. Negative
  16. −5/6
  17. 6/5
  18. −1/4
  19. 4/63
  20. Negative
  21. −5/7
  22. −1/5
  23. −1/4
  24. 2/7
  25. −51/40
  26. −2/5
  27. −19/15
  28. −2/5
  29. Positive
  30. −3/8
  31. −9/14
  32. −6/7
  33. Negative
  34. 8/9
  35. Positive
  36. 31/35
  37. 7/72
  38. −1/9
  39. −2/9
  40. −4

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