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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 873 · 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.Which is smaller: −8/9 or 4/9? (a) 4/9 (b) −8/9
  2. 2.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  3. 3.What is (−1/2) − 2/3? (a) −7/6 (b) 1/6 (c) 7/6 (d) −3/5
  4. 4.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  5. 5.What is 5/9 + (−1/6)? (a) −7/18 (b) 4/15 (c) 13/18 (d) 7/18
  6. 6.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  7. 7.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −2/10 (d) −5/1
  8. 8.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −18/48 (d) −3/8
  9. 9.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  10. 10.What is (−3/8) − (−3/4)? (a) −3/8 (b) −9/8 (c) 0 (d) 3/8
  11. 11.Which is bigger: −2/5 or −2/9? (a) −2/9 (b) −2/5
  12. 12.What is (−1/3) − 7/8? (a) 13/24 (b) 29/24 (c) −29/24 (d) −8/11
  13. 13.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  14. 14.What is (−2/7) − (−4/9)? (a) −10/63 (b) 1/8 (c) 10/63 (d) −46/63
  15. 15.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  16. 16.Is 2/6 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−2/7) + 1/5? (a) −17/35 (b) −1/12 (c) 3/35 (d) −3/35
  18. 18.What is 1/3 + (−5/8)? (a) 23/24 (b) 7/24 (c) −7/24 (d) −4/11
  19. 19.What is (−4/7) + 3/8? (a) −1/15 (b) −11/56 (c) 11/56 (d) −53/56
  20. 20.Which is smaller: −1/3 or −1/8? (a) −1/3 (b) −1/8
  21. 21.Which is bigger: −1/9 or −3/4? (a) −1/9 (b) −3/4
  22. 22.What is (−2/9) + (−1/9)? (a) −1/9 (b) −1/6 (c) 1/3 (d) −1/3
  23. 23.Which is bigger: −3/5 or 1/3? (a) −3/5 (b) 1/3
  24. 24.What is the additive inverse of 4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  25. 25.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2
  26. 26.Which is bigger: −5/7 or −1/3? (a) −1/3 (b) −5/7
  27. 27.What is (−3/8) + 1/6? (a) −13/24 (b) −5/24 (c) 5/24 (d) −1/7
  28. 28.What is (−7/9) + 2/7? (a) −31/63 (b) −67/63 (c) 31/63 (d) −5/16
  29. 29.Write −3/9 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −3/9 (d) 1/3
  30. 30.Which is smaller: −5/6 or 1/2? (a) −5/6 (b) 1/2
  31. 31.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  32. 32.What is 3/5 − (−2/9)? (a) 17/45 (b) 5/14 (c) −37/45 (d) 37/45
  33. 33.What is (−2/3) + 5/7? (a) 1/21 (b) 3/10 (c) −1/21 (d) −29/21
  34. 34.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  35. 35.What is the additive inverse of 3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  36. 36.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −6/48
  37. 37.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −3/12 (d) −4/1
  38. 38.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −9/7 (d) −14/18
  39. 39.Is −4/4 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−1/8) − 7/9? (a) −65/72 (b) 47/72 (c) 65/72 (d) −8/17

Answer key

  1. −8/9
  2. −2/5
  3. −7/6
  4. 7/2
  5. 7/18
  6. Negative
  7. −1/5
  8. −3/8
  9. −2/9
  10. 3/8
  11. −2/9
  12. −29/24
  13. 9
  14. 10/63
  15. Negative
  16. Positive
  17. −3/35
  18. −7/24
  19. −11/56
  20. −1/3
  21. −1/9
  22. −1/3
  23. 1/3
  24. −4/9
  25. −7/2
  26. −1/3
  27. −5/24
  28. −31/63
  29. −1/3
  30. −5/6
  31. 3/5
  32. 37/45
  33. 1/21
  34. 8/7
  35. −3/5
  36. −1/8
  37. −1/4
  38. −7/9
  39. Negative
  40. −65/72

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