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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 994 · 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 (−3/5) + (−5/6)? (a) 7/30 (b) −8/11 (c) −43/30 (d) 43/30
  2. 2.Is 2/9 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−8/9) + (−6/7)? (a) −2/63 (b) 110/63 (c) −110/63 (d) −7/8
  4. 4.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −2/12
  5. 5.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  6. 6.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −5/3 (c) −3/5 (d) 3/5
  7. 7.What is (−3/5) − 1/4? (a) −4/9 (b) 17/20 (c) −17/20 (d) −7/20
  8. 8.What is (−1/4) − 1/5? (a) −2/9 (b) −1/20 (c) 9/20 (d) −9/20
  9. 9.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −5/20 (d) −1/4
  10. 10.Which is smaller: −1/9 or 5/9? (a) 5/9 (b) −1/9
  11. 11.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) −8/1 (d) 1/8
  12. 12.What is (−2/9) − (−7/9)? (a) 5/18 (b) −1 (c) −5/9 (d) 5/9
  13. 13.Is −8/2 positive or negative? (a) Negative (b) Positive
  14. 14.Is 2/6 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−1/3) + 3/7? (a) −2/21 (b) 2/21 (c) 1/5 (d) −16/21
  16. 16.What is (−1/3) − (−1/2)? (a) 0 (b) −5/6 (c) −1/6 (d) 1/6
  17. 17.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −42/48 (b) −7/8 (c) −8/7 (d) 7/8
  18. 18.What is (−6/7) + 3/5? (a) −1/4 (b) −9/35 (c) 9/35 (d) −51/35
  19. 19.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  20. 20.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  21. 21.What is (−4/7) + 3/4? (a) −37/28 (b) 5/28 (c) −5/28 (d) −1/11
  22. 22.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  23. 23.Which is smaller: −7/9 or 2/9? (a) −7/9 (b) 2/9
  24. 24.Write −24/30 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −24/30 (c) 4/5 (d) −5/4
  25. 25.Which is bigger: −1/2 or 4/7? (a) −1/2 (b) 4/7
  26. 26.Which is smaller: −4/7 or −1/8? (a) −1/8 (b) −4/7
  27. 27.What is (−1/9) + (−2/7)? (a) −3/16 (b) −25/63 (c) 25/63 (d) 11/63
  28. 28.What is 1/4 − (−7/8)? (a) −9/8 (b) 9/8 (c) −5/8 (d) 2/3
  29. 29.What is (−3/8) + 3/5? (a) −9/40 (b) 0 (c) 9/40 (d) −39/40
  30. 30.What is the additive inverse of −1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  31. 31.Which is smaller: −1/2 or −8/9? (a) −1/2 (b) −8/9
  32. 32.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −2/5 or −7/9? (a) −7/9 (b) −2/5
  34. 34.What is (−5/8) + (−5/6)? (a) −5/7 (b) 5/24 (c) 35/24 (d) −35/24
  35. 35.What is (−5/9) − 6/7? (a) −89/63 (b) 89/63 (c) −11/16 (d) 19/63
  36. 36.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  37. 37.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −6/7 or −1/7? (a) −1/7 (b) −6/7
  39. 39.What is 1/2 − (−6/7)? (a) −19/14 (b) 7/9 (c) −5/14 (d) 19/14
  40. 40.Is −7/(−8) positive or negative? (a) Negative (b) Positive

Answer key

  1. −43/30
  2. Positive
  3. −110/63
  4. −1/6
  5. −1/5
  6. −3/5
  7. −17/20
  8. −9/20
  9. −1/4
  10. −1/9
  11. −1/8
  12. 5/9
  13. Negative
  14. Positive
  15. 2/21
  16. 1/6
  17. −7/8
  18. −9/35
  19. 5/7
  20. 7/6
  21. 5/28
  22. 8
  23. −7/9
  24. −4/5
  25. 4/7
  26. −4/7
  27. −25/63
  28. 9/8
  29. 9/40
  30. 1/4
  31. −8/9
  32. Negative
  33. −7/9
  34. −35/24
  35. −89/63
  36. Negative
  37. Positive
  38. −6/7
  39. 19/14
  40. Positive

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