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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 625 · 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 −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  2. 2.Which is bigger: −2/9 or 1/3? (a) −2/9 (b) 1/3
  3. 3.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  4. 4.What is the additive inverse of 1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  5. 5.Which is bigger: −5/7 or −5/9? (a) −5/9 (b) −5/7
  6. 6.What is (−1/9) + 3/5? (a) −32/45 (b) 1/7 (c) 22/45 (d) −22/45
  7. 7.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  8. 8.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) 7/4 (d) −4/7
  10. 10.Is 3/2 positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −4/5 or −1/7? (a) −1/7 (b) −4/5
  12. 12.What is (−4/9) − 3/7? (a) −55/63 (b) 55/63 (c) −1/63 (d) −7/16
  13. 13.What is the additive inverse of −8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  14. 14.What is (−5/6) + 3/5? (a) −43/30 (b) −7/30 (c) 7/30 (d) −2/11
  15. 15.Which is smaller: −3/7 or −7/9? (a) −3/7 (b) −7/9
  16. 16.Which is smaller: −5/8 or −4/9? (a) −4/9 (b) −5/8
  17. 17.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −7/6 (c) −6/7 (d) 6/7
  18. 18.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  19. 19.What is (−1/7) − 1/3? (a) 4/21 (b) 10/21 (c) −1/5 (d) −10/21
  20. 20.Is −9/8 positive or negative? (a) Positive (b) Negative
  21. 21.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/6) + (−1/8)? (a) −1/24 (b) −7/24 (c) −1/7 (d) 7/24
  23. 23.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −4/8
  24. 24.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  25. 25.What is (−1/8) − (−5/8)? (a) −3/4 (b) −1/2 (c) 1/4 (d) 1/2
  26. 26.Which is smaller: −3/4 or 6/7? (a) 6/7 (b) −3/4
  27. 27.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −4/14 (d) −2/7
  28. 28.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −3/6 (c) −1/2 (d) 1/2
  29. 29.What is the additive inverse of 4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  30. 30.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) 2/5 (d) −5/2
  31. 31.What is (−1/2) − 1/2? (a) 0 (b) −1/2 (c) −1 (d) 1
  32. 32.What is 3/5 − (−2/3)? (a) 19/15 (b) −1/15 (c) 5/8 (d) −19/15
  33. 33.Is 3/6 positive or negative? (a) Negative (b) Positive
  34. 34.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.What is 1/9 + (−2/3)? (a) 5/9 (b) 7/9 (c) −5/9 (d) −1/12
  36. 36.What is (−5/8) − 7/8? (a) −3/4 (b) 3/2 (c) 1/4 (d) −3/2
  37. 37.Is −8/5 positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −7/9 or −3/7? (a) −3/7 (b) −7/9
  39. 39.What is (−1/3) − (−5/9)? (a) −8/9 (b) −2/9 (c) 2/9 (d) 1/3
  40. 40.What is (−1/5) + (−5/6)? (a) −31/30 (b) −6/11 (c) 19/30 (d) 31/30

Answer key

  1. −5/4
  2. 1/3
  3. 1/2
  4. −1/9
  5. −5/9
  6. 22/45
  7. 7
  8. Negative
  9. 7/4
  10. Positive
  11. −1/7
  12. −55/63
  13. 8/9
  14. −7/30
  15. −7/9
  16. −5/8
  17. −6/7
  18. −6/7
  19. −10/21
  20. Negative
  21. Positive
  22. −7/24
  23. −1/2
  24. 9
  25. 1/2
  26. −3/4
  27. −2/7
  28. −1/2
  29. −4/9
  30. −2/5
  31. −1
  32. 19/15
  33. Positive
  34. Negative
  35. −5/9
  36. −3/2
  37. Negative
  38. −3/7
  39. 2/9
  40. −31/30

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