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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 620 · 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 (−1/5) − (−5/6)? (a) −31/30 (b) 4/11 (c) 19/30 (d) −19/30
  2. 2.What is the additive inverse of −3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  3. 3.What is (−2/5) + (−7/9)? (a) −53/45 (b) −9/14 (c) 17/45 (d) 53/45
  4. 4.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  5. 5.Is −6/7 positive or negative? (a) Positive (b) Negative
  6. 6.What is 1/4 − (−6/7)? (a) 7/11 (b) 31/28 (c) −17/28 (d) −31/28
  7. 7.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) 1/8 (c) −1/8 (d) −8/1
  8. 8.Which is bigger: −5/9 or 2/7? (a) 2/7 (b) −5/9
  9. 9.Which is smaller: −3/4 or 2/7? (a) 2/7 (b) −3/4
  10. 10.Is −4/7 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−4/5) + 2/9? (a) 26/45 (b) −46/45 (c) −1/7 (d) −26/45
  12. 12.Which is smaller: −3/5 or −7/9? (a) −3/5 (b) −7/9
  13. 13.Is −4/8 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  15. 15.What is 1/3 − (−3/5)? (a) −4/15 (b) 14/15 (c) 1/2 (d) −14/15
  16. 16.What is (−6/7) + (−4/9)? (a) −26/63 (b) −5/8 (c) 82/63 (d) −82/63
  17. 17.What is the additive inverse of 7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  18. 18.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  19. 19.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  20. 20.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  21. 21.Which is bigger: −3/5 or −3/4? (a) −3/5 (b) −3/4
  22. 22.Is 4/8 positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  24. 24.Write −6/10 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −6/10
  25. 25.Is 7/2 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/4) − 2/3? (a) 5/12 (b) −11/12 (c) 11/12 (d) −3/7
  27. 27.What is 2/9 − (−4/5)? (a) −46/45 (b) 46/45 (c) −26/45 (d) 3/7
  28. 28.What is (−3/5) + (−3/5)? (a) 0 (b) 6/5 (c) −6/5 (d) −3/5
  29. 29.What is (−2/3) + 1/5? (a) −7/15 (b) −1/8 (c) −13/15 (d) 7/15
  30. 30.What is 3/4 + (−4/9)? (a) 11/36 (b) −1/13 (c) 43/36 (d) −11/36
  31. 31.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  32. 32.Which is smaller: −3/7 or −1/2? (a) −3/7 (b) −1/2
  33. 33.Which is smaller: −5/7 or −1/3? (a) −5/7 (b) −1/3
  34. 34.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −10/16 (c) 5/8 (d) −5/8
  35. 35.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  36. 36.Which is bigger: −5/8 or 3/5? (a) 3/5 (b) −5/8
  37. 37.Is 3/2 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−7/8) + (−2/7)? (a) −33/56 (b) −65/56 (c) 65/56 (d) −3/5
  39. 39.What is (−1/6) + 1/6? (a) 0 (b) −1/3
  40. 40.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) −2/9 (c) −9/2 (d) 2/9

Answer key

  1. 19/30
  2. 3/5
  3. −53/45
  4. 2/3
  5. Negative
  6. 31/28
  7. −1/8
  8. 2/7
  9. −3/4
  10. Negative
  11. −26/45
  12. −7/9
  13. Negative
  14. 9/2
  15. 14/15
  16. −82/63
  17. −7/8
  18. −5/8
  19. Positive
  20. 7/5
  21. −3/5
  22. Positive
  23. −3/4
  24. −3/5
  25. Positive
  26. −11/12
  27. 46/45
  28. −6/5
  29. −7/15
  30. 11/36
  31. 7
  32. −1/2
  33. −5/7
  34. −5/8
  35. −1/9
  36. 3/5
  37. Positive
  38. −65/56
  39. 0
  40. −2/9

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