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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 219 · 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: −1/2 or −4/7? (a) −4/7 (b) −1/2
  2. 2.Is −6/7 positive or negative? (a) Positive (b) Negative
  3. 3.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −28/36
  4. 4.Which is smaller: −6/7 or 5/7? (a) −6/7 (b) 5/7
  5. 5.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  6. 6.What is 4/9 − (−4/7)? (a) −64/63 (b) −8/63 (c) 64/63 (d) 1/2
  7. 7.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−5/6) − 4/7? (a) −59/42 (b) 59/42 (c) −11/42 (d) −9/13
  9. 9.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −18/42 (c) −7/3 (d) −3/7
  10. 10.What is (−5/6) + (−4/5)? (a) −49/30 (b) 49/30 (c) −9/11 (d) −1/30
  11. 11.Is −8/3 positive or negative? (a) Positive (b) Negative
  12. 12.What is 8/9 − (−1/7)? (a) −65/63 (b) 9/16 (c) 47/63 (d) 65/63
  13. 13.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −6/15 (c) −5/2 (d) 2/5
  14. 14.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  15. 15.Which is smaller: −2/9 or −3/7? (a) −2/9 (b) −3/7
  16. 16.What is (−1/2) + (−3/5)? (a) 11/10 (b) −4/7 (c) −11/10 (d) 1/10
  17. 17.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −20/28 (d) 5/7
  18. 18.Which is smaller: −3/7 or 6/7? (a) −3/7 (b) 6/7
  19. 19.What is 1/7 − (−2/3)? (a) 17/21 (b) −11/21 (c) −17/21 (d) 3/10
  20. 20.Is −6/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is 5/7 + (−3/8)? (a) 2/15 (b) 61/56 (c) −19/56 (d) 19/56
  22. 22.What is 4/5 + (−5/6)? (a) 49/30 (b) 1/30 (c) −1/30 (d) −1/11
  23. 23.Which is bigger: −5/9 or 1/5? (a) −5/9 (b) 1/5
  24. 24.Is −4/3 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −1/7 or −8/9? (a) −8/9 (b) −1/7
  26. 26.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  27. 27.What is (−7/9) − 4/7? (a) 85/63 (b) −13/63 (c) −85/63 (d) −11/16
  28. 28.What is the additive inverse of −2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  29. 29.What is 1/3 + (−2/5)? (a) −1/15 (b) 11/15 (c) −1/8 (d) 1/15
  30. 30.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.Is 4/(−4) positive or negative? (a) Negative (b) Positive
  32. 32.Which is smaller: −1/5 or −5/8? (a) −1/5 (b) −5/8
  33. 33.Write −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −25/35 (d) −7/5
  34. 34.Which is bigger: −1/9 or 2/3? (a) −1/9 (b) 2/3
  35. 35.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  36. 36.What is (−2/7) − 2/9? (a) −1/4 (b) 32/63 (c) −4/63 (d) −32/63
  37. 37.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −5/20 (c) 1/4 (d) −4/1
  38. 38.What is the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  39. 39.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  40. 40.Is 5/8 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/2
  2. Negative
  3. −7/9
  4. −6/7
  5. −5/7
  6. 64/63
  7. Positive
  8. −59/42
  9. −3/7
  10. −49/30
  11. Negative
  12. 65/63
  13. −2/5
  14. −9/2
  15. −3/7
  16. −11/10
  17. −5/7
  18. −3/7
  19. 17/21
  20. Negative
  21. 19/56
  22. −1/30
  23. 1/5
  24. Negative
  25. −1/7
  26. −9/5
  27. −85/63
  28. 2/5
  29. −1/15
  30. Positive
  31. Negative
  32. −5/8
  33. −5/7
  34. 2/3
  35. −1/3
  36. −32/63
  37. −1/4
  38. 5/6
  39. −2/3
  40. Positive

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