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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 839 · 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.Is −9/7 positive or negative? (a) Negative (b) Positive
  2. 2.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  3. 3.Is −4/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−2/7) − 5/7? (a) 1 (b) 3/7 (c) −1/2 (d) −1
  5. 5.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  6. 6.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −8/36
  7. 7.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  8. 8.What is (−2/5) + (−5/9)? (a) −1/2 (b) −43/45 (c) 43/45 (d) 7/45
  9. 9.Write −18/24 in standard form (lowest terms, positive denominator). (a) −18/24 (b) 3/4 (c) −3/4 (d) −4/3
  10. 10.What is 3/4 − (−6/7)? (a) 45/28 (b) −3/28 (c) −45/28 (d) 9/11
  11. 11.Which is bigger: −1/2 or −5/9? (a) −1/2 (b) −5/9
  12. 12.What is (−2/5) − (−4/5)? (a) 2/5 (b) −2/5 (c) 1/5 (d) −6/5
  13. 13.What is (−2/3) + (−1/7)? (a) −3/10 (b) 17/21 (c) −17/21 (d) −11/21
  14. 14.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −24/28
  15. 15.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −4/20
  16. 16.What is 3/8 − (−1/2)? (a) 2/5 (b) −1/8 (c) 7/8 (d) −7/8
  17. 17.Is −9/8 positive or negative? (a) Negative (b) Positive
  18. 18.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  19. 19.What is (−2/9) + (−1/8)? (a) −7/72 (b) 25/72 (c) −3/17 (d) −25/72
  20. 20.What is (−1/2) − (−3/4)? (a) −1/4 (b) 1/4 (c) −5/4 (d) 1/3
  21. 21.What is (−7/9) − 2/5? (a) 53/45 (b) −9/14 (c) −53/45 (d) −17/45
  22. 22.Is −8/7 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −2/3 or −6/7? (a) −6/7 (b) −2/3
  24. 24.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −3/15 (d) −1/5
  25. 25.What is (−1/4) + (−1/7)? (a) −11/28 (b) 11/28 (c) −2/11 (d) −3/28
  26. 26.Which is smaller: −1/6 or −2/7? (a) −1/6 (b) −2/7
  27. 27.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −30/42
  28. 28.Which is bigger: −2/9 or −1/7? (a) −1/7 (b) −2/9
  29. 29.What is 4/7 − (−7/8)? (a) −81/56 (b) 11/15 (c) 81/56 (d) −17/56
  30. 30.What is (−2/9) − (−2/7)? (a) −4/63 (b) 0 (c) −32/63 (d) 4/63
  31. 31.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  32. 32.Which is smaller: −2/3 or −1/6? (a) −2/3 (b) −1/6
  33. 33.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  34. 34.Which is smaller: −1/4 or 4/7? (a) −1/4 (b) 4/7
  35. 35.What is (−1/4) − (−4/7)? (a) −9/28 (b) −23/28 (c) 3/11 (d) 9/28
  36. 36.What is the additive inverse of −1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  37. 37.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −42/54 (c) −7/9 (d) −9/7
  38. 38.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −30/35 (c) 6/7 (d) −7/6
  39. 39.Which is smaller: −1/9 or 6/7? (a) −1/9 (b) 6/7
  40. 40.Is 4/2 positive or negative? (a) Positive (b) Negative

Answer key

  1. Negative
  2. −3/5
  3. Negative
  4. −1
  5. −6
  6. −2/9
  7. −3/2
  8. −43/45
  9. −3/4
  10. 45/28
  11. −1/2
  12. 2/5
  13. −17/21
  14. −6/7
  15. −1/5
  16. 7/8
  17. Negative
  18. 3/4
  19. −25/72
  20. 1/4
  21. −53/45
  22. Negative
  23. −6/7
  24. −1/5
  25. −11/28
  26. −2/7
  27. −5/7
  28. −1/7
  29. 81/56
  30. 4/63
  31. −5/6
  32. −2/3
  33. 7/4
  34. −1/4
  35. 9/28
  36. 1/4
  37. −7/9
  38. −6/7
  39. −1/9
  40. Positive

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