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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 134 · 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 smaller: −1/5 or −8/9? (a) −1/5 (b) −8/9
  2. 2.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −6/15 (d) −2/5
  3. 3.What is (−7/8) − 1/8? (a) 1 (b) −1/2 (c) −1 (d) −3/4
  4. 4.Is 4/4 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −1/5 or −2/7? (a) −1/5 (b) −2/7
  6. 6.What is (−5/8) + (−7/9)? (a) 11/72 (b) −101/72 (c) −12/17 (d) 101/72
  7. 7.Which is bigger: −4/7 or −1/4? (a) −4/7 (b) −1/4
  8. 8.Which is bigger: −3/8 or 8/9? (a) 8/9 (b) −3/8
  9. 9.What is (−8/9) + 2/3? (a) −1/2 (b) −2/9 (c) 2/9 (d) −14/9
  10. 10.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  11. 11.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  12. 12.Which is smaller: −1/4 or 7/9? (a) −1/4 (b) 7/9
  13. 13.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  14. 14.What is the additive inverse of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  15. 15.What is (−2/3) − (−3/8)? (a) −7/24 (b) −25/24 (c) 7/24 (d) 1/11
  16. 16.What is (−1/4) + 3/8? (a) 1/8 (b) −1/8 (c) −5/8 (d) 1/6
  17. 17.Is −6/(−7) positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −4/5 or −2/7? (a) −4/5 (b) −2/7
  19. 19.Write −24/42 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −24/42
  20. 20.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/5) − (−3/7)? (a) −22/35 (b) 8/35 (c) 1/6 (d) −8/35
  22. 22.Which is smaller: −1/3 or −1/9? (a) −1/3 (b) −1/9
  23. 23.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  24. 24.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  25. 25.What is (−2/5) + (−7/8)? (a) −51/40 (b) 19/40 (c) 51/40 (d) −9/13
  26. 26.What is the additive inverse of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  27. 27.What is (−6/7) − (−5/6)? (a) −71/42 (b) −1/13 (c) −1/42 (d) 1/42
  28. 28.Which is bigger: −3/8 or −1/8? (a) −3/8 (b) −1/8
  29. 29.What is 1/4 + (−1/5)? (a) 9/20 (b) 0 (c) −1/20 (d) 1/20
  30. 30.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  31. 31.Which is smaller: −4/9 or −1/6? (a) −1/6 (b) −4/9
  32. 32.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  33. 33.What is (−4/5) − (−8/9)? (a) 4/45 (b) −76/45 (c) 2/7 (d) −4/45
  34. 34.Which is smaller: −2/5 or −1/7? (a) −1/7 (b) −2/5
  35. 35.What is (−5/6) + (−7/8)? (a) −6/7 (b) −41/24 (c) 1/24 (d) 41/24
  36. 36.Which is smaller: −6/7 or 4/5? (a) 4/5 (b) −6/7
  37. 37.Is −4/5 positive or negative? (a) Positive (b) Negative
  38. 38.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −6/14 (c) −3/7 (d) −7/3
  39. 39.What is 1/9 − (−7/9)? (a) −2/3 (b) −8/9 (c) 8/9 (d) 4/9
  40. 40.Is −7/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. −8/9
  2. −2/5
  3. −1
  4. Positive
  5. −2/7
  6. −101/72
  7. −1/4
  8. 8/9
  9. −2/9
  10. Negative
  11. 5
  12. −1/4
  13. −2/3
  14. −7/8
  15. −7/24
  16. 1/8
  17. Positive
  18. −4/5
  19. −4/7
  20. Positive
  21. 8/35
  22. −1/3
  23. −7/2
  24. 5/7
  25. −51/40
  26. −2/5
  27. −1/42
  28. −1/8
  29. 1/20
  30. 7/4
  31. −4/9
  32. −1/2
  33. 4/45
  34. −2/5
  35. −41/24
  36. −6/7
  37. Negative
  38. −3/7
  39. 8/9
  40. Negative

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