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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 970 · 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 −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −3/6
  2. 2.Is −5/9 positive or negative? (a) Negative (b) Positive
  3. 3.Is −4/2 positive or negative? (a) Negative (b) Positive
  4. 4.Which is bigger: −5/7 or −3/5? (a) −5/7 (b) −3/5
  5. 5.What is (−1/5) + 1/4? (a) −1/20 (b) 0 (c) −9/20 (d) 1/20
  6. 6.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −16/18
  7. 7.Is 8/7 positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −1/4 or −2/3? (a) −2/3 (b) −1/4
  9. 9.Which is smaller: −7/8 or 3/7? (a) −7/8 (b) 3/7
  10. 10.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −4/32 (c) −8/1 (d) −1/8
  11. 11.Which is bigger: −3/5 or 5/9? (a) −3/5 (b) 5/9
  12. 12.What is 7/9 + (−1/7)? (a) 40/63 (b) −40/63 (c) 58/63 (d) 3/8
  13. 13.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −20/36 (b) −5/9 (c) −9/5 (d) 5/9
  14. 14.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −9/5 (c) −5/9 (d) 5/9
  15. 15.Is 3/7 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/3) + 2/5? (a) −16/15 (b) 4/15 (c) 0 (d) −4/15
  17. 17.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −5/9 or −1/7? (a) −5/9 (b) −1/7
  19. 19.What is the additive inverse of 5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  20. 20.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −20/28 (c) −7/5 (d) −5/7
  21. 21.What is (−8/9) − (−1/2)? (a) 7/18 (b) −7/11 (c) −7/18 (d) −25/18
  22. 22.Write −12/32 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −12/32 (d) −3/8
  23. 23.What is (−1/8) − (−7/8)? (a) −1 (b) −3/4 (c) 3/4 (d) 3/8
  24. 24.Is 5/9 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−5/9) + (−1/9)? (a) 2/3 (b) −4/9 (c) −2/3 (d) −1/3
  26. 26.What is (−5/7) + (−1/9)? (a) 52/63 (b) −52/63 (c) −38/63 (d) −3/8
  27. 27.What is 1/5 + (−3/8)? (a) −2/13 (b) −7/40 (c) 7/40 (d) 23/40
  28. 28.What is the reciprocal (multiplicative inverse) of −4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  29. 29.What is 7/9 + (−1/6)? (a) 17/18 (b) 11/18 (c) 2/5 (d) −11/18
  30. 30.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.What is 7/9 − (−5/6)? (a) −29/18 (b) 4/5 (c) 29/18 (d) −1/18
  33. 33.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −2/8
  34. 34.Which is smaller: −7/9 or −8/9? (a) −7/9 (b) −8/9
  35. 35.What is (−4/5) − 2/5? (a) 6/5 (b) −6/5 (c) −2/5 (d) −3/5
  36. 36.What is (−5/8) + (−1/3)? (a) −6/11 (b) −7/24 (c) −23/24 (d) 23/24
  37. 37.Is 1/2 positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  39. 39.What is (−1/9) + (−4/5)? (a) 31/45 (b) −41/45 (c) −5/14 (d) 41/45
  40. 40.What is (−1/3) − (−3/8)? (a) 1/24 (b) −17/24 (c) −1/24 (d) 2/11

Answer key

  1. −1/2
  2. Negative
  3. Negative
  4. −3/5
  5. 1/20
  6. −8/9
  7. Positive
  8. −1/4
  9. −7/8
  10. −1/8
  11. 5/9
  12. 40/63
  13. −5/9
  14. −5/9
  15. Positive
  16. −4/15
  17. Positive
  18. −1/7
  19. −5/6
  20. −5/7
  21. −7/18
  22. −3/8
  23. 3/4
  24. Positive
  25. −2/3
  26. −52/63
  27. −7/40
  28. −9/4
  29. 11/18
  30. Negative
  31. Negative
  32. 29/18
  33. −1/4
  34. −8/9
  35. −6/5
  36. −23/24
  37. Positive
  38. 6/7
  39. −41/45
  40. 1/24

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