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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 415 · 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 (−1/4) + 1/2? (a) 1/4 (b) −1/4 (c) −3/4 (d) 0
  2. 2.Which is bigger: −3/5 or −8/9? (a) −8/9 (b) −3/5
  3. 3.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −3/5 (c) −5/3 (d) 3/5
  4. 4.Is −7/3 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−1/6) + 4/5? (a) 3/11 (b) −19/30 (c) −29/30 (d) 19/30
  6. 6.Which is smaller: −2/3 or −2/7? (a) −2/3 (b) −2/7
  7. 7.What is (−1/2) + 3/7? (a) 2/9 (b) 1/14 (c) −1/14 (d) −13/14
  8. 8.What is (−3/8) − (−6/7)? (a) −27/56 (b) 1/5 (c) 27/56 (d) −69/56
  9. 9.What is 7/8 + (−3/4)? (a) 13/8 (b) 1/3 (c) −1/8 (d) 1/8
  10. 10.What is (−3/8) + 5/6? (a) 11/24 (b) −29/24 (c) −11/24 (d) 1/7
  11. 11.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −6/8
  12. 12.What is the additive inverse of 1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  13. 13.Write −6/15 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) 2/5 (d) −6/15
  14. 14.Which is smaller: −7/9 or 1/4? (a) 1/4 (b) −7/9
  15. 15.What is (−1/7) + (−3/8)? (a) −29/56 (b) −4/15 (c) 13/56 (d) 29/56
  16. 16.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  17. 17.What is (−4/9) + 1/2? (a) −3/11 (b) −1/18 (c) −17/18 (d) 1/18
  18. 18.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  19. 19.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  20. 20.What is (−2/5) + 3/4? (a) 1/9 (b) 7/20 (c) −7/20 (d) −23/20
  21. 21.What is 3/8 + (−6/7)? (a) −27/56 (b) 69/56 (c) 27/56 (d) −1/5
  22. 22.Is 6/6 positive or negative? (a) Positive (b) Negative
  23. 23.What is 1/4 − (−3/7)? (a) 19/28 (b) −5/28 (c) −19/28 (d) 4/11
  24. 24.What is (−1/4) + 5/8? (a) −7/8 (b) −3/8 (c) 1/3 (d) 3/8
  25. 25.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  27. 27.What is the additive inverse of −7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  28. 28.Is −8/7 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −7/8 or 1/3? (a) −7/8 (b) 1/3
  30. 30.What is (−3/4) − (−4/7)? (a) −37/28 (b) 1/11 (c) 5/28 (d) −5/28
  31. 31.Which is smaller: −5/7 or −2/3? (a) −5/7 (b) −2/3
  32. 32.What is (−5/7) − 3/4? (a) 1/28 (b) −41/28 (c) −8/11 (d) 41/28
  33. 33.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  34. 34.What is the additive inverse of −4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  35. 35.Is −6/2 positive or negative? (a) Negative (b) Positive
  36. 36.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−5/9) − (−4/9)? (a) −1/18 (b) −1 (c) 1/9 (d) −1/9
  38. 38.What is (−1/5) − (−5/6)? (a) −31/30 (b) 4/11 (c) −19/30 (d) 19/30
  39. 39.What is (−2/3) + 3/4? (a) −1/12 (b) −17/12 (c) 1/7 (d) 1/12
  40. 40.Which is bigger: −4/7 or −1/6? (a) −1/6 (b) −4/7

Answer key

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

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