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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 984 · 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 4/5 + (−5/6)? (a) 1/30 (b) −1/11 (c) −1/30 (d) 49/30
  2. 2.Is −2/6 positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −4/9 or 3/5? (a) −4/9 (b) 3/5
  4. 4.Which is bigger: −5/7 or −5/6? (a) −5/7 (b) −5/6
  5. 5.Which is smaller: −1/9 or −6/7? (a) −1/9 (b) −6/7
  6. 6.Is −4/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is the additive inverse of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  8. 8.What is (−2/3) − 1/6? (a) −5/6 (b) 5/6 (c) −1/3 (d) −1/2
  9. 9.What is (−1/7) + 1/4? (a) −3/28 (b) 0 (c) 3/28 (d) −11/28
  10. 10.What is (−7/8) + (−8/9)? (a) −15/17 (b) 127/72 (c) 1/72 (d) −127/72
  11. 11.What is the additive inverse of −1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  12. 12.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  13. 13.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−5/9) − 3/7? (a) 62/63 (b) −62/63 (c) −1/2 (d) −8/63
  15. 15.Which is smaller: −1/9 or −2/7? (a) −2/7 (b) −1/9
  16. 16.What is (−7/8) − 1/5? (a) −8/13 (b) 43/40 (c) −27/40 (d) −43/40
  17. 17.What is (−3/8) + (−7/9)? (a) −10/17 (b) 29/72 (c) −83/72 (d) 83/72
  18. 18.What is (−2/7) + 4/7? (a) −6/7 (b) 2/7 (c) −2/7 (d) 1/7
  19. 19.Which is smaller: −1/3 or −1/5? (a) −1/3 (b) −1/5
  20. 20.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  21. 21.Which is smaller: −2/3 or −1/6? (a) −2/3 (b) −1/6
  22. 22.What is 2/3 + (−6/7)? (a) 32/21 (b) 4/21 (c) −2/5 (d) −4/21
  23. 23.Is 3/6 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/6 or −3/7? (a) −3/7 (b) −5/6
  25. 25.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  26. 26.Which is bigger: −5/6 or −1/6? (a) −5/6 (b) −1/6
  27. 27.Which is smaller: −4/9 or −4/5? (a) −4/9 (b) −4/5
  28. 28.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −9/15
  29. 29.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  30. 30.What is 1/9 − (−1/7)? (a) 1/8 (b) −2/63 (c) −16/63 (d) 16/63
  31. 31.What is (−7/8) + (−1/4)? (a) −9/8 (b) 9/8 (c) −5/8 (d) −2/3
  32. 32.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −3/18 (c) −1/6 (d) −6/1
  33. 33.What is (−1/2) + 1/8? (a) −5/8 (b) −3/8 (c) 0 (d) 3/8
  34. 34.Is 5/7 positive or negative? (a) Positive (b) Negative
  35. 35.What is 3/5 + (−1/9)? (a) 32/45 (b) 1/7 (c) −22/45 (d) 22/45
  36. 36.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −7/8 (c) −8/7 (d) 7/8
  37. 37.What is (−2/5) + (−7/8)? (a) 19/40 (b) −9/13 (c) −51/40 (d) 51/40
  38. 38.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −5/1 (d) −1/5
  39. 39.What is (−1/6) + 5/9? (a) −7/18 (b) 4/15 (c) 7/18 (d) −13/18
  40. 40.Which is bigger: −4/7 or −1/2? (a) −1/2 (b) −4/7

Answer key

  1. −1/30
  2. Negative
  3. 3/5
  4. −5/7
  5. −6/7
  6. Negative
  7. 3/4
  8. −5/6
  9. 3/28
  10. −127/72
  11. 1/4
  12. Negative
  13. Positive
  14. −62/63
  15. −2/7
  16. −43/40
  17. −83/72
  18. 2/7
  19. −1/3
  20. 4/3
  21. −2/3
  22. −4/21
  23. Positive
  24. −3/7
  25. −4/9
  26. −1/6
  27. −4/5
  28. −3/5
  29. 3
  30. 16/63
  31. −9/8
  32. −1/6
  33. −3/8
  34. Positive
  35. 22/45
  36. 8/7
  37. −51/40
  38. −1/5
  39. 7/18
  40. −1/2

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