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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 489 · 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: −1/5 or 1/7? (a) 1/7 (b) −1/5
  2. 2.Is −6/4 positive or negative? (a) Positive (b) Negative
  3. 3.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −7/3 (d) −3/7
  4. 4.What is (−1/9) + 1/3? (a) 2/9 (b) −2/9 (c) −4/9 (d) 0
  5. 5.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  6. 6.What is 5/7 − (−4/9)? (a) 9/16 (b) 73/63 (c) −73/63 (d) 17/63
  7. 7.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −2/1 (c) −1/2 (d) 1/2
  8. 8.What is (−7/9) − (−4/5)? (a) −71/45 (b) −3/14 (c) −1/45 (d) 1/45
  9. 9.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  10. 10.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −20/24 (c) −6/5 (d) 5/6
  11. 11.What is (−5/9) + (−5/9)? (a) 10/9 (b) −5/9 (c) 0 (d) −10/9
  12. 12.What is (−1/9) − (−1/7)? (a) 2/63 (b) −16/63 (c) −2/63 (d) 0
  13. 13.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) −3/8 (d) 3/8
  14. 14.Which is smaller: −1/4 or −3/4? (a) −3/4 (b) −1/4
  15. 15.Which is smaller: −1/4 or −5/6? (a) −1/4 (b) −5/6
  16. 16.What is (−3/8) + (−3/8)? (a) −3/8 (b) 3/4 (c) −3/4 (d) 0
  17. 17.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  18. 18.What is (−4/9) + 4/9? (a) −8/9 (b) 0
  19. 19.What is (−3/8) − 7/9? (a) 29/72 (b) −10/17 (c) 83/72 (d) −83/72
  20. 20.What is (−7/8) + (−6/7)? (a) −13/15 (b) −97/56 (c) −1/56 (d) 97/56
  21. 21.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −4/12 (c) −3/1 (d) −1/3
  22. 22.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −20/35
  23. 23.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −1/5 (d) −5/1
  24. 24.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  25. 25.What is (−5/6) − 8/9? (a) 1/18 (b) −13/15 (c) 31/18 (d) −31/18
  26. 26.What is the additive inverse of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  27. 27.What is 7/8 − (−2/7)? (a) 65/56 (b) 3/5 (c) −65/56 (d) 33/56
  28. 28.What is (−4/9) + 1/2? (a) 1/18 (b) −3/11 (c) −17/18 (d) −1/18
  29. 29.What is (−1/4) + (−3/7)? (a) 5/28 (b) −19/28 (c) 19/28 (d) −4/11
  30. 30.What is (−5/6) + (−8/9)? (a) 1/18 (b) −31/18 (c) 31/18 (d) −13/15
  31. 31.What is (−1/8) + 1/3? (a) 0 (b) −11/24 (c) 5/24 (d) −5/24
  32. 32.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) 4/5 (d) −4/5
  33. 33.Is 6/5 positive or negative? (a) Negative (b) Positive
  34. 34.What is 3/8 − (−3/8)? (a) 0 (b) 3/4 (c) 3/8 (d) −3/4
  35. 35.What is (−1/2) + 3/5? (a) 1/10 (b) −11/10 (c) 2/7 (d) −1/10
  36. 36.What is (−1/4) − 5/9? (a) −29/36 (b) 11/36 (c) 29/36 (d) −6/13
  37. 37.Which is smaller: −1/8 or 3/7? (a) −1/8 (b) 3/7
  38. 38.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −4/5 or −5/7? (a) −4/5 (b) −5/7
  40. 40.Is −5/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. 1/7
  2. Negative
  3. −3/7
  4. 2/9
  5. 8
  6. 73/63
  7. −1/2
  8. 1/45
  9. −4/3
  10. −5/6
  11. −10/9
  12. 2/63
  13. −3/8
  14. −3/4
  15. −5/6
  16. −3/4
  17. −3/7
  18. 0
  19. −83/72
  20. −97/56
  21. −1/3
  22. −4/7
  23. −1/5
  24. 9/5
  25. −31/18
  26. 1/6
  27. 65/56
  28. 1/18
  29. −19/28
  30. −31/18
  31. 5/24
  32. −4/5
  33. Positive
  34. 3/4
  35. 1/10
  36. −29/36
  37. −1/8
  38. Negative
  39. −5/7
  40. Negative

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