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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 406 · 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 reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  2. 2.What is (−1/4) − 1/2? (a) 1/4 (b) 3/4 (c) −1/3 (d) −3/4
  3. 3.What is 1/3 − (−3/7)? (a) 2/5 (b) 16/21 (c) −16/21 (d) −2/21
  4. 4.What is 2/3 + (−1/2)? (a) −1/6 (b) 1/5 (c) 1/6 (d) 7/6
  5. 5.Which is bigger: −1/4 or 1/7? (a) −1/4 (b) 1/7
  6. 6.What is 1/4 + (−1/8)? (a) 0 (b) 3/8 (c) −1/8 (d) 1/8
  7. 7.What is 1/7 + (−4/9)? (a) −19/63 (b) 37/63 (c) −3/16 (d) 19/63
  8. 8.What is (−1/7) + (−7/9)? (a) −58/63 (b) 40/63 (c) −1/2 (d) 58/63
  9. 9.Which is smaller: −5/6 or −3/4? (a) −3/4 (b) −5/6
  10. 10.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  11. 11.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  12. 12.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/6) + (−1/5)? (a) 1/30 (b) −2/11 (c) −11/30 (d) 11/30
  14. 14.Is 7/4 positive or negative? (a) Positive (b) Negative
  15. 15.Which is bigger: −1/5 or 4/7? (a) 4/7 (b) −1/5
  16. 16.Which is smaller: −4/7 or −1/7? (a) −1/7 (b) −4/7
  17. 17.Which is bigger: −2/5 or −1/5? (a) −1/5 (b) −2/5
  18. 18.Which is smaller: −1/2 or 5/9? (a) −1/2 (b) 5/9
  19. 19.What is 3/8 − (−4/5)? (a) −17/40 (b) 7/13 (c) −47/40 (d) 47/40
  20. 20.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−4/9) + (−1/5)? (a) −5/14 (b) −11/45 (c) −29/45 (d) 29/45
  22. 22.What is 1/8 − (−5/8)? (a) 3/4 (b) −1/2 (c) 3/8 (d) −3/4
  23. 23.Which is bigger: −1/6 or −1/8? (a) −1/8 (b) −1/6
  24. 24.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −5/6 (d) −6/5
  25. 25.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) 1/3 (c) −3/1 (d) −1/3
  26. 26.Which is smaller: −7/8 or −1/2? (a) −1/2 (b) −7/8
  27. 27.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −10/25 (d) −5/2
  28. 28.What is (−7/9) − (−2/7)? (a) −5/16 (b) −31/63 (c) −67/63 (d) 31/63
  29. 29.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  30. 30.What is 3/4 + (−6/7)? (a) 3/28 (b) 45/28 (c) −3/28 (d) −3/11
  31. 31.Is 3/4 positive or negative? (a) Positive (b) Negative
  32. 32.Write −18/30 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −18/30 (c) 3/5 (d) −3/5
  33. 33.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −9/24
  34. 34.What is (−2/9) − 2/7? (a) 32/63 (b) −32/63 (c) 4/63 (d) −1/4
  35. 35.What is (−2/5) + 5/6? (a) −37/30 (b) 3/11 (c) −13/30 (d) 13/30
  36. 36.Which is bigger: −3/4 or 7/9? (a) 7/9 (b) −3/4
  37. 37.Which is bigger: −4/9 or −4/7? (a) −4/7 (b) −4/9
  38. 38.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  39. 39.What is 1/7 + (−1/2)? (a) 9/14 (b) −5/14 (c) 0 (d) 5/14
  40. 40.What is (−7/9) − (−3/5)? (a) 8/45 (b) −62/45 (c) −8/45 (d) −2/7

Answer key

  1. 7/6
  2. −3/4
  3. 16/21
  4. 1/6
  5. 1/7
  6. 1/8
  7. −19/63
  8. −58/63
  9. −5/6
  10. −5/8
  11. −9/5
  12. Negative
  13. −11/30
  14. Positive
  15. 4/7
  16. −4/7
  17. −1/5
  18. −1/2
  19. 47/40
  20. Negative
  21. −29/45
  22. 3/4
  23. −1/8
  24. −5/6
  25. −1/3
  26. −7/8
  27. −2/5
  28. −31/63
  29. −6
  30. −3/28
  31. Positive
  32. −3/5
  33. −3/8
  34. −32/63
  35. 13/30
  36. 7/9
  37. −4/9
  38. 5/3
  39. −5/14
  40. −8/45

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