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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 121 · 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 the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  2. 2.Which is smaller: −5/9 or −1/9? (a) −5/9 (b) −1/9
  3. 3.Which is bigger: −2/7 or −8/9? (a) −8/9 (b) −2/7
  4. 4.What is (−5/6) + 1/5? (a) 19/30 (b) −4/11 (c) −19/30 (d) −31/30
  5. 5.Which is bigger: −2/3 or −7/8? (a) −7/8 (b) −2/3
  6. 6.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −5/9 or 3/4? (a) −5/9 (b) 3/4
  8. 8.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  9. 9.What is 1/5 − (−3/8)? (a) 4/13 (b) 23/40 (c) −23/40 (d) −7/40
  10. 10.What is (−4/7) + 4/9? (a) 8/63 (b) 0 (c) −64/63 (d) −8/63
  11. 11.What is 5/9 + (−1/2)? (a) −1/18 (b) 19/18 (c) 4/11 (d) 1/18
  12. 12.What is (−1/5) − 1/3? (a) 2/15 (b) 8/15 (c) −8/15 (d) −1/4
  13. 13.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −10/14
  14. 14.What is 1/6 − (−1/6)? (a) 1/6 (b) −1/3 (c) 0 (d) 1/3
  15. 15.What is (−7/8) + (−5/8)? (a) −3/4 (b) −1/4 (c) 3/2 (d) −3/2
  16. 16.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  17. 17.What is (−1/6) − (−3/4)? (a) 7/12 (b) −7/12 (c) 1/5 (d) −11/12
  18. 18.What is 5/8 + (−1/5)? (a) −17/40 (b) 33/40 (c) 4/13 (d) 17/40
  19. 19.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  20. 20.Which is bigger: −5/8 or −1/2? (a) −1/2 (b) −5/8
  21. 21.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) 3/5 (d) −3/5
  22. 22.What is (−1/3) + 4/7? (a) −19/21 (b) 3/10 (c) 5/21 (d) −5/21
  23. 23.What is (−3/5) − (−5/7)? (a) −46/35 (b) 1/6 (c) 4/35 (d) −4/35
  24. 24.Which is bigger: −5/7 or −2/3? (a) −5/7 (b) −2/3
  25. 25.What is 4/7 − (−3/7)? (a) −1 (b) 1 (c) 1/7 (d) 1/2
  26. 26.What is (−1/2) − (−1/5)? (a) −3/10 (b) −7/10 (c) 3/10 (d) 0
  27. 27.What is (−1/3) + 8/9? (a) 5/9 (b) −5/9 (c) −11/9 (d) 7/12
  28. 28.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  29. 29.What is 1/5 + (−1/9)? (a) 0 (b) 14/45 (c) −4/45 (d) 4/45
  30. 30.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) −8/1 (d) 1/8
  32. 32.What is the additive inverse of 5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  33. 33.What is (−4/7) + 5/9? (a) −1/63 (b) 1/63 (c) −71/63 (d) 1/16
  34. 34.What is 1/7 + (−1/7)? (a) 2/7 (b) 0
  35. 35.Is −2/9 positive or negative? (a) Positive (b) Negative
  36. 36.Write −24/42 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −24/42 (c) −7/4 (d) 4/7
  37. 37.Is 2/3 positive or negative? (a) Negative (b) Positive
  38. 38.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  39. 39.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  40. 40.Is −1/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. −2
  2. −5/9
  3. −2/7
  4. −19/30
  5. −2/3
  6. Negative
  7. 3/4
  8. −3/2
  9. 23/40
  10. −8/63
  11. 1/18
  12. −8/15
  13. −5/7
  14. 1/3
  15. −3/2
  16. −7/8
  17. 7/12
  18. 17/40
  19. 7
  20. −1/2
  21. −3/5
  22. 5/21
  23. 4/35
  24. −2/3
  25. 1
  26. −3/10
  27. 5/9
  28. Negative
  29. 4/45
  30. Negative
  31. −1/8
  32. −5/9
  33. −1/63
  34. 0
  35. Negative
  36. −4/7
  37. Positive
  38. Positive
  39. Positive
  40. Negative

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