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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 78 · 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 (−2/3) + 2/5? (a) 0 (b) −4/15 (c) −16/15 (d) 4/15
  2. 2.Which is smaller: −2/3 or 5/8? (a) −2/3 (b) 5/8
  3. 3.What is the additive inverse of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  4. 4.What is (−5/9) − 6/7? (a) −89/63 (b) 19/63 (c) −11/16 (d) 89/63
  5. 5.What is 4/5 + (−2/9)? (a) 46/45 (b) 1/7 (c) 26/45 (d) −26/45
  6. 6.What is 1/2 + (−4/7)? (a) −1/3 (b) −1/14 (c) 15/14 (d) 1/14
  7. 7.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −15/24
  8. 8.Which is smaller: −1/5 or 5/6? (a) −1/5 (b) 5/6
  9. 9.What is (−5/9) − (−5/9)? (a) 0 (b) −10/9
  10. 10.What is (−1/6) + 1/7? (a) −1/42 (b) 0 (c) 1/42 (d) −13/42
  11. 11.Is 7/2 positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −1/8 or −4/9? (a) −1/8 (b) −4/9
  13. 13.What is (−1/3) − (−1/5)? (a) −8/15 (b) 2/15 (c) −2/15 (d) 0
  14. 14.Which is bigger: −1/6 or −3/4? (a) −3/4 (b) −1/6
  15. 15.What is (−2/3) − 4/7? (a) −26/21 (b) 26/21 (c) −3/5 (d) −2/21
  16. 16.What is 5/9 + (−5/8)? (a) −5/72 (b) 0 (c) 5/72 (d) 85/72
  17. 17.Which is smaller: −1/9 or 2/5? (a) 2/5 (b) −1/9
  18. 18.What is 1/3 + (−1/4)? (a) 0 (b) −1/12 (c) 7/12 (d) 1/12
  19. 19.What is (−3/5) − 7/8? (a) −10/13 (b) 59/40 (c) 11/40 (d) −59/40
  20. 20.What is (−3/5) − (−1/4)? (a) −7/20 (b) −17/20 (c) 7/20 (d) −2/9
  21. 21.What is 2/7 + (−3/8)? (a) 37/56 (b) −5/56 (c) 5/56 (d) −1/15
  22. 22.Which is smaller: −7/8 or −3/7? (a) −7/8 (b) −3/7
  23. 23.What is (−3/5) − 4/7? (a) −7/12 (b) −1/35 (c) −41/35 (d) 41/35
  24. 24.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −6/12 (d) −1/2
  25. 25.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  26. 26.What is 5/8 − (−5/9)? (a) 85/72 (b) 10/17 (c) 5/72 (d) −85/72
  27. 27.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −2/3 or −3/5? (a) −3/5 (b) −2/3
  29. 29.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) 4/7 (c) −7/4 (d) −4/7
  30. 30.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  31. 31.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −10/12 (b) 5/6 (c) −6/5 (d) −5/6
  32. 32.Which is bigger: −4/5 or −5/7? (a) −5/7 (b) −4/5
  33. 33.What is 2/5 + (−1/8)? (a) 1/13 (b) −11/40 (c) 21/40 (d) 11/40
  34. 34.Write −6/30 in standard form (lowest terms, positive denominator). (a) −6/30 (b) 1/5 (c) −5/1 (d) −1/5
  35. 35.Is −9/8 positive or negative? (a) Negative (b) Positive
  36. 36.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) 5/8 (d) −5/8
  37. 37.Which is bigger: −1/7 or 1/2? (a) 1/2 (b) −1/7
  38. 38.What is 7/8 + (−1/2)? (a) 3/8 (b) 3/5 (c) −3/8 (d) 11/8
  39. 39.Is 2/2 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/7) − 1/6? (a) −37/42 (b) −6/13 (c) 37/42 (d) −23/42

Answer key

  1. −4/15
  2. −2/3
  3. 5/7
  4. −89/63
  5. 26/45
  6. −1/14
  7. −5/8
  8. −1/5
  9. 0
  10. −1/42
  11. Positive
  12. −1/8
  13. −2/15
  14. −1/6
  15. −26/21
  16. −5/72
  17. −1/9
  18. 1/12
  19. −59/40
  20. −7/20
  21. −5/56
  22. −7/8
  23. −41/35
  24. −1/2
  25. −6/7
  26. 85/72
  27. Positive
  28. −3/5
  29. −4/7
  30. Negative
  31. −5/6
  32. −5/7
  33. 11/40
  34. −1/5
  35. Negative
  36. −5/8
  37. 1/2
  38. 3/8
  39. Positive
  40. −37/42

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