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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 367 · 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 the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  2. 2.What is (−1/5) + (−4/9)? (a) −29/45 (b) 29/45 (c) 11/45 (d) −5/14
  3. 3.What is 2/5 − (−1/7)? (a) 19/35 (b) 1/4 (c) 9/35 (d) −19/35
  4. 4.Which is smaller: −1/4 or 1/5? (a) −1/4 (b) 1/5
  5. 5.What is (−4/5) + (−1/5)? (a) −1/2 (b) −3/5 (c) 1 (d) −1
  6. 6.Which is bigger: −1/9 or −5/6? (a) −1/9 (b) −5/6
  7. 7.What is (−2/3) − 7/8? (a) −37/24 (b) 5/24 (c) −9/11 (d) 37/24
  8. 8.Which is bigger: −3/8 or 4/7? (a) 4/7 (b) −3/8
  9. 9.Which is bigger: −2/7 or −1/3? (a) −1/3 (b) −2/7
  10. 10.Is 8/5 positive or negative? (a) Negative (b) Positive
  11. 11.Is 1/6 positive or negative? (a) Negative (b) Positive
  12. 12.What is 1/8 − (−4/9)? (a) 5/17 (b) 41/72 (c) −23/72 (d) −41/72
  13. 13.What is 3/4 − (−6/7)? (a) 9/11 (b) −3/28 (c) 45/28 (d) −45/28
  14. 14.What is (−5/6) + (−3/5)? (a) −8/11 (b) −43/30 (c) −7/30 (d) 43/30
  15. 15.What is the additive inverse of −1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  16. 16.What is (−2/5) − (−1/3)? (a) −1/15 (b) −1/8 (c) 1/15 (d) −11/15
  17. 17.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−1/9) − 4/9? (a) 1/3 (b) 5/9 (c) −5/18 (d) −5/9
  19. 19.Which is smaller: −8/9 or −1/2? (a) −8/9 (b) −1/2
  20. 20.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −6/10
  21. 21.What is 2/3 + (−1/3)? (a) 1/3 (b) 1 (c) −1/3 (d) 1/6
  22. 22.What is the additive inverse of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  23. 23.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −7/5 (c) −5/7 (d) 5/7
  24. 24.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/16 (c) −4/1 (d) −1/4
  25. 25.What is the additive inverse of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  26. 26.What is (−4/7) + (−7/9)? (a) 13/63 (b) 85/63 (c) −85/63 (d) −11/16
  27. 27.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  28. 28.Which is bigger: −3/7 or 7/9? (a) −3/7 (b) 7/9
  29. 29.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  30. 30.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −6/30
  31. 31.What is 1/7 + (−1/8)? (a) 0 (b) −1/56 (c) 1/56 (d) 15/56
  32. 32.What is (−1/9) + (−2/5)? (a) −3/14 (b) 23/45 (c) −23/45 (d) 13/45
  33. 33.Which is smaller: −3/5 or 1/6? (a) 1/6 (b) −3/5
  34. 34.Which is bigger: −7/8 or −1/5? (a) −1/5 (b) −7/8
  35. 35.Which is smaller: −4/5 or 2/9? (a) 2/9 (b) −4/5
  36. 36.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2
  37. 37.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  38. 38.What is 3/4 − (−1/2)? (a) −5/4 (b) 1/4 (c) 2/3 (d) 5/4
  39. 39.Which is bigger: −5/7 or −5/9? (a) −5/7 (b) −5/9
  40. 40.What is 1/4 − (−8/9)? (a) −23/36 (b) 9/13 (c) 41/36 (d) −41/36

Answer key

  1. 1/7
  2. −29/45
  3. 19/35
  4. −1/4
  5. −1
  6. −1/9
  7. −37/24
  8. 4/7
  9. −2/7
  10. Positive
  11. Positive
  12. 41/72
  13. 45/28
  14. −43/30
  15. 1/3
  16. −1/15
  17. Positive
  18. −5/9
  19. −8/9
  20. −3/5
  21. 1/3
  22. 1/8
  23. −5/7
  24. −1/4
  25. −5/9
  26. −85/63
  27. 7/4
  28. 7/9
  29. Negative
  30. −1/5
  31. 1/56
  32. −23/45
  33. −3/5
  34. −1/5
  35. −4/5
  36. −2/9
  37. Positive
  38. 5/4
  39. −5/9
  40. 41/36

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