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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 667 · 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) − 3/4? (a) 7/8 (b) −1/3 (c) −7/8 (d) 5/8
  2. 2.What is (−2/3) + (−3/4)? (a) −17/12 (b) 1/12 (c) −5/7 (d) 17/12
  3. 3.Is −9/(−5) positive or negative? (a) Positive (b) Negative
  4. 4.What is 5/9 + (−1/2)? (a) −1/18 (b) 1/18 (c) 19/18 (d) 4/11
  5. 5.Which is smaller: −4/5 or −4/9? (a) −4/9 (b) −4/5
  6. 6.Which is bigger: −2/5 or −4/5? (a) −2/5 (b) −4/5
  7. 7.Which is smaller: −5/8 or −6/7? (a) −5/8 (b) −6/7
  8. 8.Write −2/18 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −2/18 (c) −9/1 (d) −1/9
  9. 9.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  10. 10.What is 3/5 + (−3/7)? (a) 0 (b) −6/35 (c) 36/35 (d) 6/35
  11. 11.What is (−1/7) + 1/5? (a) −12/35 (b) 2/35 (c) −2/35 (d) 0
  12. 12.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −6/15 (c) 2/5 (d) −5/2
  13. 13.Is 5/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−7/8) − (−6/7)? (a) −1/15 (b) 1/56 (c) −97/56 (d) −1/56
  15. 15.Which is smaller: −7/8 or −7/9? (a) −7/9 (b) −7/8
  16. 16.Is 2/2 positive or negative? (a) Positive (b) Negative
  17. 17.Write −28/32 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −28/32
  18. 18.What is 5/8 + (−1/2)? (a) 2/5 (b) −1/8 (c) 9/8 (d) 1/8
  19. 19.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  20. 20.Write −8/36 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −8/36 (c) −9/2 (d) 2/9
  21. 21.Which is smaller: −1/8 or 5/6? (a) 5/6 (b) −1/8
  22. 22.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  23. 23.Which is bigger: −2/5 or 5/9? (a) 5/9 (b) −2/5
  24. 24.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  25. 25.What is (−1/3) − (−1/8)? (a) 0 (b) −5/24 (c) −11/24 (d) 5/24
  26. 26.Which is bigger: −2/3 or 1/2? (a) 1/2 (b) −2/3
  27. 27.What is 5/6 − (−1/6)? (a) −1 (b) 1/2 (c) 1 (d) 2/3
  28. 28.What is 1/4 − (−4/7)? (a) −9/28 (b) −23/28 (c) 5/11 (d) 23/28
  29. 29.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −6/21
  30. 30.Is −8/9 positive or negative? (a) Positive (b) Negative
  31. 31.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  32. 32.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −8/20 (d) −2/5
  33. 33.What is (−3/8) + (−1/5)? (a) −7/40 (b) 23/40 (c) −4/13 (d) −23/40
  34. 34.What is 1/5 − (−1/9)? (a) −14/45 (b) 1/7 (c) 14/45 (d) 4/45
  35. 35.What is (−7/9) − 1/2? (a) −5/18 (b) −8/11 (c) −23/18 (d) 23/18
  36. 36.What is (−5/6) − 1/8? (a) −23/24 (b) −3/7 (c) −17/24 (d) 23/24
  37. 37.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  38. 38.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) −3/7 (d) 3/7
  39. 39.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/1 (d) −4/8
  40. 40.Is −8/(−3) positive or negative? (a) Negative (b) Positive

Answer key

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

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