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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 220 · 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 −2/5 positive or negative? (a) Negative (b) Positive
  2. 2.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) −5/7 (c) −7/5 (d) 5/7
  3. 3.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  4. 4.What is (−7/9) + 6/7? (a) −5/63 (b) −103/63 (c) −1/16 (d) 5/63
  5. 5.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  7. 7.Which is bigger: −1/5 or 1/4? (a) −1/5 (b) 1/4
  8. 8.What is 1/5 − (−1/5)? (a) 2/5 (b) −2/5 (c) 0 (d) 1/5
  9. 9.What is (−1/2) + 1/3? (a) −1/6 (b) 0 (c) 1/6 (d) −5/6
  10. 10.What is (−5/7) − 2/5? (a) −11/35 (b) −39/35 (c) −7/12 (d) 39/35
  11. 11.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −4/14 (c) −7/2 (d) 2/7
  12. 12.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −15/18 (d) −6/5
  13. 13.Which is smaller: −1/7 or 1/8? (a) 1/8 (b) −1/7
  14. 14.Which is bigger: −7/9 or −5/9? (a) −5/9 (b) −7/9
  15. 15.Which is smaller: −1/7 or 3/5? (a) 3/5 (b) −1/7
  16. 16.Which is smaller: −1/2 or −3/4? (a) −3/4 (b) −1/2
  17. 17.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−6/7) + (−2/3)? (a) 32/21 (b) −4/21 (c) −32/21 (d) −4/5
  19. 19.What is (−4/9) − 5/7? (a) 73/63 (b) −73/63 (c) −9/16 (d) 17/63
  20. 20.What is 1/8 + (−3/5)? (a) 19/40 (b) −19/40 (c) −2/13 (d) 29/40
  21. 21.What is 2/7 − (−1/3)? (a) −13/21 (b) −1/21 (c) 3/10 (d) 13/21
  22. 22.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  23. 23.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) −3/2 (d) 2/3
  24. 24.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −4/32
  25. 25.What is (−5/7) + (−7/9)? (a) −3/4 (b) 4/63 (c) −94/63 (d) 94/63
  26. 26.What is the additive inverse of 5/7? (a) 5/7 (b) −5/7 (c) 7/5 (d) −7/5
  27. 27.Which is bigger: −7/8 or −3/4? (a) −7/8 (b) −3/4
  28. 28.Which is smaller: −4/7 or 5/8? (a) −4/7 (b) 5/8
  29. 29.What is 5/9 − (−6/7)? (a) 11/16 (b) −89/63 (c) 89/63 (d) −19/63
  30. 30.What is (−5/8) + 5/8? (a) 0 (b) −5/4
  31. 31.What is (−2/5) + (−5/6)? (a) −37/30 (b) 37/30 (c) −7/11 (d) 13/30
  32. 32.What is (−1/9) + 1/9? (a) −2/9 (b) 0
  33. 33.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −4/10 (d) −5/2
  34. 34.Which is bigger: −3/7 or −2/5? (a) −3/7 (b) −2/5
  35. 35.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  36. 36.What is 2/9 + (−4/7)? (a) 22/63 (b) −22/63 (c) −1/8 (d) 50/63
  37. 37.Write −24/54 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −24/54 (c) −9/4 (d) −4/9
  38. 38.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 5/6 (d) 6/5
  39. 39.What is (−3/5) + (−1/8)? (a) −4/13 (b) −19/40 (c) −29/40 (d) 29/40
  40. 40.What is 2/5 + (−5/7)? (a) 11/35 (b) −11/35 (c) −1/4 (d) 39/35

Answer key

  1. Negative
  2. −5/7
  3. 2/3
  4. 5/63
  5. Positive
  6. −1/2
  7. 1/4
  8. 2/5
  9. −1/6
  10. −39/35
  11. −2/7
  12. −5/6
  13. −1/7
  14. −5/9
  15. −1/7
  16. −3/4
  17. Negative
  18. −32/21
  19. −73/63
  20. −19/40
  21. 13/21
  22. −9/7
  23. −2/3
  24. −1/8
  25. −94/63
  26. −5/7
  27. −3/4
  28. −4/7
  29. 89/63
  30. 0
  31. −37/30
  32. 0
  33. −2/5
  34. −2/5
  35. −6/5
  36. −22/63
  37. −4/9
  38. 5/6
  39. −29/40
  40. −11/35

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