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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 760 · 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 the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  2. 2.What is (−1/9) + 7/8? (a) 6/17 (b) −55/72 (c) −71/72 (d) 55/72
  3. 3.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  4. 4.What is (−7/9) − 1/4? (a) −8/13 (b) 37/36 (c) −19/36 (d) −37/36
  5. 5.What is (−3/8) + 5/9? (a) −13/72 (b) 13/72 (c) 2/17 (d) −67/72
  6. 6.What is (−1/6) − 1/2? (a) 2/3 (b) −1/4 (c) −2/3 (d) 1/3
  7. 7.What is (−4/9) + 7/8? (a) −95/72 (b) 3/17 (c) 31/72 (d) −31/72
  8. 8.Write −5/10 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −5/10 (c) 1/2 (d) −1/2
  9. 9.What is (−3/4) − 1/6? (a) −7/12 (b) 11/12 (c) −11/12 (d) −2/5
  10. 10.Is 4/6 positive or negative? (a) Negative (b) Positive
  11. 11.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  12. 12.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/9 or −3/4? (a) −1/9 (b) −3/4
  14. 14.What is (−3/8) + 2/3? (a) 7/24 (b) −25/24 (c) −7/24 (d) −1/11
  15. 15.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  16. 16.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−4/5) − 1/9? (a) −5/14 (b) −41/45 (c) 41/45 (d) −31/45
  18. 18.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −1/5 (d) −5/1
  19. 19.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  20. 20.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  21. 21.Which is bigger: −8/9 or −1/8? (a) −1/8 (b) −8/9
  22. 22.Which is smaller: −8/9 or −1/3? (a) −1/3 (b) −8/9
  23. 23.What is 4/9 − (−3/7)? (a) 7/16 (b) 55/63 (c) 1/63 (d) −55/63
  24. 24.Which is smaller: −5/7 or 3/4? (a) 3/4 (b) −5/7
  25. 25.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  26. 26.What is the additive inverse of −1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  27. 27.What is (−2/3) − (−2/9)? (a) −8/9 (b) 0 (c) −4/9 (d) 4/9
  28. 28.What is (−4/9) − (−2/7)? (a) −1/8 (b) −46/63 (c) 10/63 (d) −10/63
  29. 29.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) −5/3 (d) 3/5
  30. 30.What is (−5/8) + (−2/5)? (a) 41/40 (b) −41/40 (c) −7/13 (d) −9/40
  31. 31.Which is bigger: −1/2 or −1/4? (a) −1/4 (b) −1/2
  32. 32.Which is bigger: −6/7 or −3/5? (a) −3/5 (b) −6/7
  33. 33.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  34. 34.What is 7/8 − (−1/5)? (a) −43/40 (b) 27/40 (c) 8/13 (d) 43/40
  35. 35.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −3/18 (d) −1/6
  36. 36.Write −42/54 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −42/54 (d) −9/7
  37. 37.What is 3/7 − (−1/2)? (a) −1/14 (b) −13/14 (c) 13/14 (d) 4/9
  38. 38.What is 5/7 + (−6/7)? (a) 11/7 (b) −1/7 (c) −1/14 (d) 1/7
  39. 39.Which is smaller: −1/4 or −3/4? (a) −1/4 (b) −3/4
  40. 40.What is 7/8 + (−4/9)? (a) 31/72 (b) −31/72 (c) 3/17 (d) 95/72

Answer key

  1. −1/6
  2. 55/72
  3. −4
  4. −37/36
  5. 13/72
  6. −2/3
  7. 31/72
  8. −1/2
  9. −11/12
  10. Positive
  11. −7/2
  12. Positive
  13. −3/4
  14. 7/24
  15. 4/9
  16. Positive
  17. −41/45
  18. −1/5
  19. −2
  20. 3/2
  21. −1/8
  22. −8/9
  23. 55/63
  24. −5/7
  25. −9/7
  26. 1/5
  27. −4/9
  28. −10/63
  29. −3/5
  30. −41/40
  31. −1/4
  32. −3/5
  33. Negative
  34. 43/40
  35. −1/6
  36. −7/9
  37. 13/14
  38. −1/7
  39. −3/4
  40. 31/72

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