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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 602 · 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 (−1/8) − (−2/7)? (a) 1/15 (b) 9/56 (c) −9/56 (d) −23/56
  2. 2.What is 1/3 − (−5/6)? (a) 2/3 (b) −1/2 (c) 7/6 (d) −7/6
  3. 3.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  4. 4.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  5. 5.Is 1/7 positive or negative? (a) Negative (b) Positive
  6. 6.What is 1/5 − (−4/9)? (a) 5/14 (b) −11/45 (c) −29/45 (d) 29/45
  7. 7.Which is smaller: −3/5 or −1/5? (a) −1/5 (b) −3/5
  8. 8.What is (−8/9) + 8/9? (a) −16/9 (b) 0
  9. 9.What is 3/5 − (−6/7)? (a) 3/4 (b) −9/35 (c) 51/35 (d) −51/35
  10. 10.Which is bigger: −5/6 or −1/4? (a) −1/4 (b) −5/6
  11. 11.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  12. 12.What is 4/9 + (−8/9)? (a) 4/3 (b) 4/9 (c) −4/9 (d) −2/9
  13. 13.What is (−1/9) − (−2/3)? (a) 1/12 (b) −5/9 (c) 5/9 (d) −7/9
  14. 14.What is (−2/7) − 2/3? (a) 8/21 (b) −20/21 (c) 20/21 (d) −2/5
  15. 15.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −16/18 (b) 8/9 (c) −9/8 (d) −8/9
  16. 16.What is (−2/3) − 7/8? (a) 5/24 (b) −9/11 (c) −37/24 (d) 37/24
  17. 17.Which is smaller: −1/7 or 2/9? (a) 2/9 (b) −1/7
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  19. 19.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/2) + 2/5? (a) −9/10 (b) −1/10 (c) 1/7 (d) 1/10
  21. 21.What is (−2/5) + (−1/5)? (a) −3/5 (b) −3/10 (c) −1/5 (d) 3/5
  22. 22.What is 1/4 − (−1/7)? (a) −11/28 (b) 11/28 (c) 2/11 (d) 3/28
  23. 23.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  24. 24.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  25. 25.What is (−1/7) − (−3/8)? (a) −13/56 (b) 2/15 (c) −29/56 (d) 13/56
  26. 26.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  27. 27.Which is bigger: −1/2 or −3/7? (a) −3/7 (b) −1/2
  28. 28.Which is bigger: −3/5 or −1/5? (a) −3/5 (b) −1/5
  29. 29.What is (−2/7) − 8/9? (a) −5/8 (b) −74/63 (c) 74/63 (d) 38/63
  30. 30.Which is smaller: −7/8 or −1/2? (a) −7/8 (b) −1/2
  31. 31.What is 6/7 − (−4/7)? (a) 10/7 (b) 5/7 (c) −10/7 (d) 2/7
  32. 32.What is (−2/7) − 2/5? (a) 24/35 (b) −1/3 (c) 4/35 (d) −24/35
  33. 33.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  35. 35.Which is bigger: −3/4 or −2/7? (a) −2/7 (b) −3/4
  36. 36.What is (−1/6) + 1/8? (a) 0 (b) −7/24 (c) −1/24 (d) 1/24
  37. 37.Which is smaller: −5/8 or 1/2? (a) −5/8 (b) 1/2
  38. 38.Which is bigger: −1/6 or −4/5? (a) −4/5 (b) −1/6
  39. 39.What is (−1/5) − 4/7? (a) 27/35 (b) −5/12 (c) 13/35 (d) −27/35
  40. 40.What is (−8/9) + (−1/7)? (a) −47/63 (b) 65/63 (c) −65/63 (d) −9/16

Answer key

  1. 9/56
  2. 7/6
  3. 5/8
  4. Positive
  5. Positive
  6. 29/45
  7. −3/5
  8. 0
  9. 51/35
  10. −1/4
  11. Negative
  12. −4/9
  13. 5/9
  14. −20/21
  15. −8/9
  16. −37/24
  17. −1/7
  18. 3/2
  19. Negative
  20. −1/10
  21. −3/5
  22. 11/28
  23. −9/2
  24. −2/5
  25. 13/56
  26. 7/4
  27. −3/7
  28. −1/5
  29. −74/63
  30. −7/8
  31. 10/7
  32. −24/35
  33. Positive
  34. −2/7
  35. −2/7
  36. −1/24
  37. −5/8
  38. −1/6
  39. −27/35
  40. −65/63

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