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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 106 · 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.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−1/4) + 1/8? (a) −3/8 (b) −1/8 (c) 1/8 (d) 0
  3. 3.Which is smaller: −1/3 or −3/5? (a) −3/5 (b) −1/3
  4. 4.Write −8/14 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) 4/7 (d) −8/14
  5. 5.What is 5/9 − (−3/7)? (a) 62/63 (b) 1/2 (c) 8/63 (d) −62/63
  6. 6.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  8. 8.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −6/12 (c) −2/1 (d) −1/2
  9. 9.Which is smaller: −5/9 or 6/7? (a) −5/9 (b) 6/7
  10. 10.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  11. 11.Which is smaller: −4/9 or −3/4? (a) −4/9 (b) −3/4
  12. 12.Is 8/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  14. 14.What is (−6/7) + 2/3? (a) −4/21 (b) −2/5 (c) −32/21 (d) 4/21
  15. 15.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  16. 16.What is (−1/2) − (−4/5)? (a) −3/10 (b) 3/10 (c) −13/10 (d) 3/7
  17. 17.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  18. 18.What is 3/8 − (−1/3)? (a) 1/24 (b) 4/11 (c) −17/24 (d) 17/24
  19. 19.Is 4/6 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−5/8) − (−7/9)? (a) 11/72 (b) −101/72 (c) 2/17 (d) −11/72
  21. 21.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  22. 22.What is 2/9 + (−2/5)? (a) 0 (b) 8/45 (c) −8/45 (d) 28/45
  23. 23.Which is smaller: −2/5 or −5/9? (a) −5/9 (b) −2/5
  24. 24.What is 7/9 − (−1/9)? (a) 8/9 (b) 2/3 (c) −8/9 (d) 4/9
  25. 25.What is (−1/6) − 1/9? (a) −5/18 (b) −1/18 (c) 5/18 (d) −2/15
  26. 26.Is −7/7 positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −4/5 or 4/7? (a) 4/7 (b) −4/5
  28. 28.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −6/14 (d) −3/7
  29. 29.Which is smaller: −7/9 or −4/7? (a) −4/7 (b) −7/9
  30. 30.Which is bigger: −4/9 or 8/9? (a) 8/9 (b) −4/9
  31. 31.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −7/1 (d) −1/7
  32. 32.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) −5/40 (d) 1/8
  33. 33.Which is smaller: −2/9 or −1/4? (a) −1/4 (b) −2/9
  34. 34.What is 1/3 − (−6/7)? (a) −11/21 (b) 7/10 (c) 25/21 (d) −25/21
  35. 35.Which is bigger: −3/8 or 2/9? (a) −3/8 (b) 2/9
  36. 36.What is (−2/5) − 3/7? (a) 29/35 (b) −5/12 (c) 1/35 (d) −29/35
  37. 37.What is (−2/5) + (−5/7)? (a) −7/12 (b) 39/35 (c) −39/35 (d) 11/35
  38. 38.Is −2/6 positive or negative? (a) Positive (b) Negative
  39. 39.What is 1/9 + (−5/7)? (a) −1/4 (b) 38/63 (c) −38/63 (d) 52/63
  40. 40.Which is smaller: −7/9 or −1/8? (a) −7/9 (b) −1/8

Answer key

  1. Negative
  2. −1/8
  3. −3/5
  4. −4/7
  5. 62/63
  6. Negative
  7. Positive
  8. −1/2
  9. −5/9
  10. Positive
  11. −3/4
  12. Positive
  13. −4/3
  14. −4/21
  15. 2/5
  16. 3/10
  17. −7/3
  18. 17/24
  19. Positive
  20. 11/72
  21. −9/7
  22. −8/45
  23. −5/9
  24. 8/9
  25. −5/18
  26. Negative
  27. 4/7
  28. −3/7
  29. −7/9
  30. 8/9
  31. −1/7
  32. −1/8
  33. −1/4
  34. 25/21
  35. 2/9
  36. −29/35
  37. −39/35
  38. Negative
  39. −38/63
  40. −7/9

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