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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 389 · 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 −2/(−5) positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −1/8 or 1/3? (a) −1/8 (b) 1/3
  3. 3.Which is smaller: −3/4 or −2/7? (a) −2/7 (b) −3/4
  4. 4.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  5. 5.Is 7/4 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/6) − 3/4? (a) −1/12 (b) −19/12 (c) 19/12 (d) −4/5
  7. 7.What is (−4/7) + 2/5? (a) −6/35 (b) −34/35 (c) 6/35 (d) −1/6
  8. 8.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  9. 9.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −3/6 (d) −2/1
  10. 10.What is (−4/7) − 5/9? (a) 71/63 (b) −9/16 (c) −71/63 (d) −1/63
  11. 11.Which is smaller: −5/6 or −2/5? (a) −2/5 (b) −5/6
  12. 12.What is 1/2 − (−1/6)? (a) 1/4 (b) −2/3 (c) 2/3 (d) 1/3
  13. 13.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −1/5 (d) −5/1
  14. 14.Is −4/4 positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/9 + (−6/7)? (a) 47/63 (b) −47/63 (c) −5/16 (d) 61/63
  16. 16.Is −5/7 positive or negative? (a) Positive (b) Negative
  17. 17.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  18. 18.Which is bigger: −1/2 or 2/7? (a) −1/2 (b) 2/7
  19. 19.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  20. 20.What is (−1/8) − 1/8? (a) −1/4 (b) 1/4 (c) 0 (d) −1/8
  21. 21.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  22. 22.What is 3/4 − (−2/3)? (a) 5/7 (b) −17/12 (c) 17/12 (d) 1/12
  23. 23.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) −4/5 (d) 4/5
  24. 24.What is 2/7 + (−5/8)? (a) 19/56 (b) 51/56 (c) −19/56 (d) −1/5
  25. 25.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  26. 26.Is −9/7 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −1/4 or −5/8? (a) −5/8 (b) −1/4
  28. 28.Which is smaller: −7/9 or −5/8? (a) −5/8 (b) −7/9
  29. 29.What is (−5/6) + 5/8? (a) 0 (b) 5/24 (c) −35/24 (d) −5/24
  30. 30.What is 1/2 + (−6/7)? (a) −5/14 (b) 5/14 (c) 19/14 (d) −5/9
  31. 31.Which is bigger: −6/7 or 1/3? (a) −6/7 (b) 1/3
  32. 32.Which is smaller: −5/7 or 1/5? (a) −5/7 (b) 1/5
  33. 33.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −8/9 (c) −9/8 (d) 8/9
  34. 34.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −5/10 (b) 1/2 (c) −2/1 (d) −1/2
  36. 36.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) −7/6 (c) −6/7 (d) 6/7
  37. 37.Is 1/5 positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −3/5 or −3/4? (a) −3/5 (b) −3/4
  39. 39.What is (−3/7) + (−5/7)? (a) −4/7 (b) −8/7 (c) 2/7 (d) 8/7
  40. 40.What is 5/6 − (−3/8)? (a) −29/24 (b) 11/24 (c) 29/24 (d) 4/7

Answer key

  1. Positive
  2. 1/3
  3. −3/4
  4. −4/3
  5. Positive
  6. −19/12
  7. −6/35
  8. −6/5
  9. −1/2
  10. −71/63
  11. −5/6
  12. 2/3
  13. −1/5
  14. Negative
  15. −47/63
  16. Negative
  17. −3/5
  18. 2/7
  19. −4/9
  20. −1/4
  21. −7/5
  22. 17/12
  23. 4/5
  24. −19/56
  25. 2/3
  26. Negative
  27. −5/8
  28. −7/9
  29. −5/24
  30. −5/14
  31. 1/3
  32. −5/7
  33. −8/9
  34. Negative
  35. −1/2
  36. −6/7
  37. Positive
  38. −3/4
  39. −8/7
  40. 29/24

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