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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 70 · 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 −5/2 positive or negative? (a) Positive (b) Negative
  2. 2.Is 5/3 positive or negative? (a) Negative (b) Positive
  3. 3.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  4. 4.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −2/4 (d) 1/2
  5. 5.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  6. 6.What is (−3/8) − (−1/3)? (a) −17/24 (b) −2/11 (c) −1/24 (d) 1/24
  7. 7.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  8. 8.What is 7/8 + (−4/7)? (a) −17/56 (b) 81/56 (c) 1/5 (d) 17/56
  9. 9.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −9/21 (d) 3/7
  10. 10.Which is bigger: −2/3 or −4/5? (a) −4/5 (b) −2/3
  11. 11.What is (−1/3) + (−3/4)? (a) −13/12 (b) 13/12 (c) 5/12 (d) −4/7
  12. 12.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −12/32
  13. 13.What is the additive inverse of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  14. 14.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −3/15 (d) −5/1
  15. 15.Which is bigger: −1/4 or −5/9? (a) −5/9 (b) −1/4
  16. 16.Write −12/42 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) −2/7 (d) 2/7
  17. 17.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −12/16 (c) −3/4 (d) −4/3
  18. 18.What is (−2/3) − 2/5? (a) −1/2 (b) −4/15 (c) 16/15 (d) −16/15
  19. 19.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −3/4 (c) 3/4 (d) −4/3
  20. 20.Is −2/8 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  22. 22.Which is smaller: −4/9 or −1/8? (a) −1/8 (b) −4/9
  23. 23.Which is bigger: −1/3 or −3/7? (a) −1/3 (b) −3/7
  24. 24.Is 6/5 positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −1/7 or −5/8? (a) −1/7 (b) −5/8
  26. 26.Which is bigger: −1/4 or 1/5? (a) −1/4 (b) 1/5
  27. 27.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  28. 28.What is 4/9 + (−5/7)? (a) 17/63 (b) 73/63 (c) −1/16 (d) −17/63
  29. 29.What is 3/7 + (−7/9)? (a) 76/63 (b) −1/4 (c) −22/63 (d) 22/63
  30. 30.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  31. 31.What is 8/9 + (−4/5)? (a) −4/45 (b) 76/45 (c) 4/45 (d) 2/7
  32. 32.What is (−5/9) + (−1/9)? (a) −1/3 (b) −2/3 (c) −4/9 (d) 2/3
  33. 33.Is 9/(−9) positive or negative? (a) Negative (b) Positive
  34. 34.Is −1/2 positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  36. 36.What is 4/7 − (−2/9)? (a) −50/63 (b) 3/8 (c) 50/63 (d) 22/63
  37. 37.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  38. 38.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −7/3 (d) −6/14
  39. 39.What is (−3/4) + 1/7? (a) −17/28 (b) 17/28 (c) −25/28 (d) −2/11
  40. 40.What is (−5/8) − 5/7? (a) −2/3 (b) −75/56 (c) 75/56 (d) 5/56

Answer key

  1. Negative
  2. Positive
  3. −8
  4. −1/2
  5. −1/8
  6. −1/24
  7. 7/5
  8. 17/56
  9. −3/7
  10. −2/3
  11. −13/12
  12. −3/8
  13. −2/9
  14. −1/5
  15. −1/4
  16. −2/7
  17. −3/4
  18. −16/15
  19. −3/4
  20. Negative
  21. −9/2
  22. −4/9
  23. −1/3
  24. Positive
  25. −5/8
  26. 1/5
  27. Negative
  28. −17/63
  29. −22/63
  30. 2
  31. 4/45
  32. −2/3
  33. Negative
  34. Negative
  35. 4/3
  36. 50/63
  37. −9/4
  38. −3/7
  39. −17/28
  40. −75/56

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