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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 252 · 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 smaller: −6/7 or 1/3? (a) −6/7 (b) 1/3
  2. 2.Which is smaller: −5/9 or −3/7? (a) −3/7 (b) −5/9
  3. 3.Which is bigger: −1/7 or 1/2? (a) 1/2 (b) −1/7
  4. 4.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−1/3) − (−2/3)? (a) 1/6 (b) −1/3 (c) −1 (d) 1/3
  6. 6.Which is bigger: −1/6 or −5/7? (a) −1/6 (b) −5/7
  7. 7.Is −7/5 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−3/5) + (−8/9)? (a) −67/45 (b) 13/45 (c) −11/14 (d) 67/45
  9. 9.What is 1/5 + (−2/3)? (a) −1/8 (b) 13/15 (c) 7/15 (d) −7/15
  10. 10.Is 4/4 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−2/7) + 5/8? (a) −19/56 (b) −51/56 (c) 1/5 (d) 19/56
  12. 12.Which is bigger: −1/3 or 5/8? (a) 5/8 (b) −1/3
  13. 13.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  14. 14.What is (−4/7) − (−1/5)? (a) −1/4 (b) −27/35 (c) 13/35 (d) −13/35
  15. 15.What is (−4/7) + (−5/9)? (a) −71/63 (b) −9/16 (c) −1/63 (d) 71/63
  16. 16.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  17. 17.What is (−1/3) + (−2/9)? (a) 5/9 (b) −1/4 (c) −5/9 (d) −1/9
  18. 18.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.What is 6/7 − (−1/8)? (a) 41/56 (b) 7/15 (c) −55/56 (d) 55/56
  20. 20.What is (−5/8) − 6/7? (a) 83/56 (b) −83/56 (c) 13/56 (d) −11/15
  21. 21.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −2/10
  22. 22.What is 1/4 − (−1/5)? (a) 1/20 (b) 2/9 (c) −9/20 (d) 9/20
  23. 23.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  24. 24.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  25. 25.Which is smaller: −3/8 or 5/9? (a) 5/9 (b) −3/8
  26. 26.What is 4/7 + (−3/4)? (a) 5/28 (b) 37/28 (c) −5/28 (d) 1/11
  27. 27.Which is smaller: −8/9 or 1/3? (a) −8/9 (b) 1/3
  28. 28.What is (−7/9) + 7/8? (a) 0 (b) −7/72 (c) −119/72 (d) 7/72
  29. 29.Write −4/18 in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −2/9 (d) −9/2
  30. 30.Is 9/2 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−5/7) − (−3/4)? (a) −41/28 (b) −2/11 (c) 1/28 (d) −1/28
  32. 32.What is (−3/4) − 3/5? (a) 27/20 (b) −27/20 (c) −3/20 (d) −2/3
  33. 33.Is −4/(−6) positive or negative? (a) Positive (b) Negative
  34. 34.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −24/28 (d) −6/7
  35. 35.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−6/7) + 8/9? (a) 2/63 (b) −110/63 (c) −2/63 (d) 1/8
  37. 37.Is −2/(−7) positive or negative? (a) Negative (b) Positive
  38. 38.What is 4/9 − (−1/6)? (a) 1/3 (b) 11/18 (c) 5/18 (d) −11/18
  39. 39.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  40. 40.What is (−2/3) − (−5/7)? (a) −29/21 (b) 3/10 (c) −1/21 (d) 1/21

Answer key

  1. −6/7
  2. −5/9
  3. 1/2
  4. Negative
  5. 1/3
  6. −1/6
  7. Negative
  8. −67/45
  9. −7/15
  10. Positive
  11. 19/56
  12. 5/8
  13. 6
  14. −13/35
  15. −71/63
  16. −7/4
  17. −5/9
  18. Negative
  19. 55/56
  20. −83/56
  21. −1/5
  22. 9/20
  23. 3/2
  24. 3/4
  25. −3/8
  26. −5/28
  27. −8/9
  28. 7/72
  29. −2/9
  30. Positive
  31. 1/28
  32. −27/20
  33. Positive
  34. −6/7
  35. Negative
  36. 2/63
  37. Positive
  38. 11/18
  39. −1/5
  40. 1/21

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