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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 863 · 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 4/3 positive or negative? (a) Negative (b) Positive
  2. 2.Is −8/4 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −8/9 or 1/2? (a) −8/9 (b) 1/2
  4. 4.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  5. 5.Which is bigger: −1/5 or −2/5? (a) −2/5 (b) −1/5
  6. 6.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −20/28 (c) −7/5 (d) 5/7
  8. 8.Which is smaller: −5/8 or −3/8? (a) −5/8 (b) −3/8
  9. 9.Is −3/5 positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −6/7 or −3/4? (a) −6/7 (b) −3/4
  11. 11.Which is smaller: −5/9 or −1/4? (a) −5/9 (b) −1/4
  12. 12.What is 3/5 − (−4/7)? (a) −41/35 (b) 41/35 (c) 7/12 (d) 1/35
  13. 13.What is (−5/7) + 3/5? (a) −46/35 (b) −1/6 (c) −4/35 (d) 4/35
  14. 14.What is 1/6 + (−5/8)? (a) −2/7 (b) 11/24 (c) −11/24 (d) 19/24
  15. 15.What is (−4/5) − (−5/8)? (a) 7/40 (b) −57/40 (c) 1/13 (d) −7/40
  16. 16.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −5/6 (d) −6/5
  17. 17.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  18. 18.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  19. 19.What is the additive inverse of −1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  20. 20.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  21. 21.What is 2/9 + (−4/7)? (a) 22/63 (b) 50/63 (c) −1/8 (d) −22/63
  22. 22.What is 3/5 + (−1/8)? (a) 2/13 (b) 29/40 (c) 19/40 (d) −19/40
  23. 23.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −3/24 (b) −8/1 (c) 1/8 (d) −1/8
  24. 24.Which is smaller: −2/3 or −4/7? (a) −4/7 (b) −2/3
  25. 25.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −42/48
  26. 26.What is 1/3 − (−1/3)? (a) 2/3 (b) −2/3 (c) 0 (d) 1/3
  27. 27.What is (−2/7) − 2/5? (a) 4/35 (b) −1/3 (c) −24/35 (d) 24/35
  28. 28.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  29. 29.What is (−1/3) + 3/8? (a) 1/24 (b) −17/24 (c) −1/24 (d) 2/11
  30. 30.What is 2/5 − (−8/9)? (a) 58/45 (b) −58/45 (c) 5/7 (d) −22/45
  31. 31.What is 4/7 + (−1/3)? (a) −5/21 (b) 19/21 (c) 3/10 (d) 5/21
  32. 32.Which is smaller: −2/5 or −1/5? (a) −2/5 (b) −1/5
  33. 33.What is (−5/9) + (−6/7)? (a) −11/16 (b) 89/63 (c) −89/63 (d) 19/63
  34. 34.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  35. 35.What is 1/8 + (−4/7)? (a) 39/56 (b) 25/56 (c) −25/56 (d) −1/5
  36. 36.Which is smaller: −2/9 or 1/3? (a) 1/3 (b) −2/9
  37. 37.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  38. 38.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  39. 39.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −14/18
  40. 40.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3

Answer key

  1. Positive
  2. Negative
  3. −8/9
  4. −7/2
  5. −1/5
  6. Positive
  7. −5/7
  8. −5/8
  9. Negative
  10. −3/4
  11. −5/9
  12. 41/35
  13. −4/35
  14. −11/24
  15. −7/40
  16. −5/6
  17. 5/3
  18. 6/7
  19. 1/6
  20. Positive
  21. −22/63
  22. 19/40
  23. −1/8
  24. −2/3
  25. −7/8
  26. 2/3
  27. −24/35
  28. −3/7
  29. 1/24
  30. 58/45
  31. 5/21
  32. −2/5
  33. −89/63
  34. Negative
  35. −25/56
  36. −2/9
  37. −2/3
  38. −8/7
  39. −7/9
  40. 4/3

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