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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 864 · 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.Which is bigger: −5/9 or −2/9? (a) −2/9 (b) −5/9
  2. 2.What is 1/6 − (−8/9)? (a) 19/18 (b) −19/18 (c) 3/5 (d) −13/18
  3. 3.What is 5/8 + (−7/9)? (a) 101/72 (b) −2/17 (c) −11/72 (d) 11/72
  4. 4.Is 5/8 positive or negative? (a) Negative (b) Positive
  5. 5.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) −3/2 (d) 2/3
  6. 6.Which is smaller: −3/5 or −2/3? (a) −2/3 (b) −3/5
  7. 7.What is 3/8 + (−1/3)? (a) 1/24 (b) 17/24 (c) 2/11 (d) −1/24
  8. 8.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  9. 9.What is (−1/9) + 5/8? (a) 37/72 (b) 4/17 (c) −53/72 (d) −37/72
  10. 10.Which is smaller: −1/5 or 1/6? (a) −1/5 (b) 1/6
  11. 11.What is (−2/3) − 5/8? (a) 31/24 (b) −1/24 (c) −31/24 (d) −7/11
  12. 12.What is (−3/4) − 3/5? (a) 27/20 (b) −27/20 (c) −2/3 (d) −3/20
  13. 13.What is (−6/7) − 1/2? (a) 19/14 (b) −19/14 (c) −7/9 (d) −5/14
  14. 14.What is (−4/7) − 4/7? (a) 8/7 (b) −8/7 (c) 0 (d) −4/7
  15. 15.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  16. 16.Which is bigger: −2/9 or −3/5? (a) −3/5 (b) −2/9
  17. 17.Is 1/4 positive or negative? (a) Negative (b) Positive
  18. 18.Is 6/6 positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  20. 20.Which is bigger: −1/8 or −1/5? (a) −1/5 (b) −1/8
  21. 21.What is (−1/9) + (−5/7)? (a) −3/8 (b) 52/63 (c) −52/63 (d) 38/63
  22. 22.What is 3/8 + (−5/6)? (a) −11/24 (b) 29/24 (c) 11/24 (d) −1/7
  23. 23.What is (−3/5) − 2/3? (a) 19/15 (b) −5/8 (c) 1/15 (d) −19/15
  24. 24.Which is bigger: −5/7 or 4/9? (a) 4/9 (b) −5/7
  25. 25.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  26. 26.What is 5/7 − (−1/8)? (a) −47/56 (b) 33/56 (c) 2/5 (d) 47/56
  27. 27.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  28. 28.What is 3/7 − (−4/7)? (a) 1 (b) 1/2 (c) −1/7 (d) −1
  29. 29.What is (−4/5) + (−1/2)? (a) −5/7 (b) −13/10 (c) −3/10 (d) 13/10
  30. 30.Which is bigger: −1/6 or 7/9? (a) −1/6 (b) 7/9
  31. 31.Write −40/45 in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −40/45
  32. 32.What is (−5/7) + 6/7? (a) 1/14 (b) −1/7 (c) −11/7 (d) 1/7
  33. 33.What is 3/8 + (−7/8)? (a) 1/2 (b) −1/4 (c) −1/2 (d) 5/4
  34. 34.Is −7/6 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/9) + (−1/7)? (a) 16/63 (b) 2/63 (c) −16/63 (d) −1/8
  36. 36.What is (−7/8) + 1/9? (a) 55/72 (b) −6/17 (c) −71/72 (d) −55/72
  37. 37.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  38. 38.Which is bigger: −4/7 or −6/7? (a) −6/7 (b) −4/7
  39. 39.What is 3/7 − (−3/4)? (a) 33/28 (b) 6/11 (c) −9/28 (d) −33/28
  40. 40.What is (−1/6) − 4/5? (a) −5/11 (b) −29/30 (c) 19/30 (d) 29/30

Answer key

  1. −2/9
  2. 19/18
  3. −11/72
  4. Positive
  5. −2/3
  6. −2/3
  7. 1/24
  8. 4
  9. 37/72
  10. −1/5
  11. −31/24
  12. −27/20
  13. −19/14
  14. −8/7
  15. 4/9
  16. −2/9
  17. Positive
  18. Positive
  19. 1/6
  20. −1/8
  21. −52/63
  22. −11/24
  23. −19/15
  24. 4/9
  25. Negative
  26. 47/56
  27. −9/5
  28. 1
  29. −13/10
  30. 7/9
  31. −8/9
  32. 1/7
  33. −1/2
  34. Negative
  35. −16/63
  36. −55/72
  37. −7
  38. −4/7
  39. 33/28
  40. −29/30

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