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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 180 · 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.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −32/36
  2. 2.Which is smaller: −4/9 or −1/4? (a) −1/4 (b) −4/9
  3. 3.What is 1/5 + (−3/5)? (a) 4/5 (b) 2/5 (c) −2/5 (d) −1/5
  4. 4.Which is smaller: −7/8 or −2/7? (a) −2/7 (b) −7/8
  5. 5.Which is bigger: −2/5 or 1/4? (a) 1/4 (b) −2/5
  6. 6.What is (−5/8) + 3/5? (a) −49/40 (b) −2/13 (c) −1/40 (d) 1/40
  7. 7.Which is smaller: −1/9 or −2/5? (a) −1/9 (b) −2/5
  8. 8.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −10/12 (c) −5/6 (d) 5/6
  9. 9.What is 1/6 − (−2/7)? (a) 19/42 (b) −5/42 (c) 3/13 (d) −19/42
  10. 10.Which is smaller: −5/9 or 2/5? (a) −5/9 (b) 2/5
  11. 11.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  12. 12.What is (−4/7) − (−3/7)? (a) −1/7 (b) −1 (c) 1/7 (d) −1/14
  13. 13.What is (−2/5) − (−3/7)? (a) −29/35 (b) 1/35 (c) −1/35 (d) 1/12
  14. 14.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −3/7 (c) −7/3 (d) 3/7
  15. 15.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.Which is smaller: −1/4 or −8/9? (a) −1/4 (b) −8/9
  17. 17.What is (−2/7) + 2/9? (a) 4/63 (b) 0 (c) −4/63 (d) −32/63
  18. 18.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  19. 19.What is (−3/8) + (−4/5)? (a) 17/40 (b) 47/40 (c) −47/40 (d) −7/13
  20. 20.Which is smaller: −6/7 or −1/9? (a) −1/9 (b) −6/7
  21. 21.What is 5/7 − (−6/7)? (a) 11/7 (b) 11/14 (c) −1/7 (d) −11/7
  22. 22.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.Is 9/4 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/5) − 3/4? (a) 11/20 (b) −19/20 (c) 19/20 (d) −4/9
  25. 25.What is (−1/6) − (−7/8)? (a) −17/24 (b) 3/7 (c) −25/24 (d) 17/24
  26. 26.What is the additive inverse of 7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  27. 27.Is −7/9 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−5/6) − 2/3? (a) −1/6 (b) −7/9 (c) −3/2 (d) 3/2
  29. 29.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  30. 30.What is (−1/6) + 3/5? (a) −13/30 (b) −23/30 (c) 2/11 (d) 13/30
  31. 31.What is (−4/5) − 1/2? (a) 13/10 (b) −13/10 (c) −5/7 (d) −3/10
  32. 32.What is (−5/8) − 5/9? (a) −10/17 (b) −5/72 (c) −85/72 (d) 85/72
  33. 33.What is (−2/3) + (−3/5)? (a) 19/15 (b) −1/15 (c) −5/8 (d) −19/15
  34. 34.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −1/9 or 1/2? (a) −1/9 (b) 1/2
  36. 36.Which is bigger: −7/9 or −1/8? (a) −7/9 (b) −1/8
  37. 37.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  38. 38.Which is smaller: −5/8 or −2/5? (a) −5/8 (b) −2/5
  39. 39.What is (−3/5) + 5/9? (a) 1/7 (b) −52/45 (c) 2/45 (d) −2/45
  40. 40.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −8/5 (d) −5/8

Answer key

  1. −8/9
  2. −4/9
  3. −2/5
  4. −7/8
  5. 1/4
  6. −1/40
  7. −2/5
  8. −5/6
  9. 19/42
  10. −5/9
  11. −5/3
  12. −1/7
  13. 1/35
  14. −3/7
  15. Negative
  16. −8/9
  17. −4/63
  18. 8/7
  19. −47/40
  20. −6/7
  21. 11/7
  22. Positive
  23. Positive
  24. −19/20
  25. 17/24
  26. −7/8
  27. Negative
  28. −3/2
  29. 1/6
  30. 13/30
  31. −13/10
  32. −85/72
  33. −19/15
  34. Negative
  35. 1/2
  36. −1/8
  37. 9/8
  38. −5/8
  39. −2/45
  40. −5/8

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