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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 270 · 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 (−2/9) + 6/7? (a) 1/4 (b) −68/63 (c) 40/63 (d) −40/63
  2. 2.Which is smaller: −4/9 or −7/8? (a) −7/8 (b) −4/9
  3. 3.What is 4/7 + (−6/7)? (a) −1/7 (b) −2/7 (c) 10/7 (d) 2/7
  4. 4.What is (−2/9) + 4/9? (a) −2/3 (b) 1/9 (c) −2/9 (d) 2/9
  5. 5.What is (−6/7) + 2/3? (a) −32/21 (b) 4/21 (c) −2/5 (d) −4/21
  6. 6.Which is smaller: −3/5 or −2/3? (a) −3/5 (b) −2/3
  7. 7.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −5/25
  8. 8.What is (−6/7) − 3/7? (a) −9/14 (b) 9/7 (c) −3/7 (d) −9/7
  9. 9.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −4/3 (d) −3/4
  10. 10.What is (−5/6) + (−1/5)? (a) −31/30 (b) −19/30 (c) −6/11 (d) 31/30
  11. 11.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  12. 12.Is −5/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−3/7) + (−1/5)? (a) 22/35 (b) −8/35 (c) −1/3 (d) −22/35
  14. 14.Is 2/3 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−3/7) − 2/7? (a) −5/14 (b) −1/7 (c) 5/7 (d) −5/7
  16. 16.What is (−2/9) + (−1/2)? (a) 13/18 (b) 5/18 (c) −13/18 (d) −3/11
  17. 17.Which is smaller: −3/5 or −4/9? (a) −4/9 (b) −3/5
  18. 18.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −9/21 (c) −7/3 (d) −3/7
  19. 19.What is 2/9 − (−7/9)? (a) 1 (b) 1/2 (c) −1 (d) −5/9
  20. 20.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  21. 21.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −3/7 or −7/9? (a) −7/9 (b) −3/7
  23. 23.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/5) − 8/9? (a) −67/45 (b) 67/45 (c) 13/45 (d) −11/14
  25. 25.Is −9/4 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−2/3) − (−2/9)? (a) 0 (b) 4/9 (c) −4/9 (d) −8/9
  27. 27.What is 3/7 + (−1/6)? (a) 11/42 (b) −11/42 (c) 2/13 (d) 25/42
  28. 28.What is 3/8 − (−1/3)? (a) 17/24 (b) 1/24 (c) −17/24 (d) 4/11
  29. 29.What is (−2/7) − (−5/6)? (a) −23/42 (b) −47/42 (c) 23/42 (d) 3/13
  30. 30.What is (−8/9) − (−5/9)? (a) 1/3 (b) −13/9 (c) −1/6 (d) −1/3
  31. 31.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  32. 32.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  33. 33.What is (−1/2) + 1/7? (a) −9/14 (b) 0 (c) 5/14 (d) −5/14
  34. 34.Is −3/4 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−5/7) + (−3/8)? (a) −19/56 (b) 61/56 (c) −61/56 (d) −8/15
  36. 36.What is (−4/5) − 2/7? (a) −1/2 (b) 38/35 (c) −18/35 (d) −38/35
  37. 37.What is 2/9 − (−5/8)? (a) 7/17 (b) −61/72 (c) 61/72 (d) −29/72
  38. 38.What is (−1/6) − 1/3? (a) −2/9 (b) −1/2 (c) 1/6 (d) 1/2
  39. 39.Which is smaller: −5/7 or −2/5? (a) −5/7 (b) −2/5
  40. 40.What is 4/7 − (−3/7)? (a) 1/2 (b) −1 (c) 1 (d) 1/7

Answer key

  1. 40/63
  2. −7/8
  3. −2/7
  4. 2/9
  5. −4/21
  6. −2/3
  7. −1/5
  8. −9/7
  9. −3/4
  10. −31/30
  11. Negative
  12. Positive
  13. −22/35
  14. Positive
  15. −5/7
  16. −13/18
  17. −3/5
  18. −3/7
  19. 1
  20. 5/6
  21. Negative
  22. −7/9
  23. Negative
  24. −67/45
  25. Negative
  26. −4/9
  27. 11/42
  28. 17/24
  29. 23/42
  30. −1/3
  31. −1/3
  32. −1/2
  33. −5/14
  34. Negative
  35. −61/56
  36. −38/35
  37. 61/72
  38. −1/2
  39. −5/7
  40. 1

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