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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 769 · 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 the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  2. 2.What is (−1/7) + 1/5? (a) 0 (b) −12/35 (c) 2/35 (d) −2/35
  3. 3.What is (−1/2) − 3/5? (a) 1/10 (b) −4/7 (c) −11/10 (d) 11/10
  4. 4.What is the additive inverse of −1/8? (a) −1/8 (b) 1/8 (c) −8 (d) 8
  5. 5.Which is smaller: −1/8 or 5/7? (a) 5/7 (b) −1/8
  6. 6.Is 4/4 positive or negative? (a) Positive (b) Negative
  7. 7.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  8. 8.Which is bigger: −5/6 or −5/9? (a) −5/6 (b) −5/9
  9. 9.Which is bigger: −1/3 or −5/7? (a) −5/7 (b) −1/3
  10. 10.Is −6/4 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/7) + 2/9? (a) 1/16 (b) −5/63 (c) −23/63 (d) 5/63
  12. 12.What is (−3/4) + 1/3? (a) −13/12 (b) −5/12 (c) 5/12 (d) −2/7
  13. 13.Which is bigger: −2/9 or −2/3? (a) −2/9 (b) −2/3
  14. 14.What is (−1/5) − (−2/9)? (a) 1/14 (b) −19/45 (c) −1/45 (d) 1/45
  15. 15.What is (−4/5) − 1/8? (a) 37/40 (b) −37/40 (c) −5/13 (d) −27/40
  16. 16.Which is bigger: −5/8 or −1/2? (a) −5/8 (b) −1/2
  17. 17.What is (−3/8) − (−4/9)? (a) −59/72 (b) 5/72 (c) 1/17 (d) −5/72
  18. 18.Which is smaller: −7/8 or −7/9? (a) −7/8 (b) −7/9
  19. 19.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −5/3 (d) −3/5
  20. 20.Is −6/7 positive or negative? (a) Negative (b) Positive
  21. 21.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  22. 22.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−6/7) + 4/5? (a) 2/35 (b) −1/6 (c) −2/35 (d) −58/35
  24. 24.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −5/20 (d) −1/4
  25. 25.What is (−4/7) + (−1/5)? (a) −13/35 (b) −27/35 (c) 27/35 (d) −5/12
  26. 26.What is (−3/5) + 1/4? (a) −17/20 (b) −7/20 (c) −2/9 (d) 7/20
  27. 27.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  30. 30.What is 5/7 + (−5/8)? (a) 75/56 (b) −5/56 (c) 5/56 (d) 0
  31. 31.Which is smaller: −3/8 or −1/4? (a) −3/8 (b) −1/4
  32. 32.What is 1/7 + (−7/8)? (a) −41/56 (b) −2/5 (c) 57/56 (d) 41/56
  33. 33.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  34. 34.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) −3/8 (d) 3/8
  35. 35.What is (−1/3) + 8/9? (a) −11/9 (b) 7/12 (c) −5/9 (d) 5/9
  36. 36.What is 1/5 − (−4/5)? (a) −1 (b) 1/2 (c) −3/5 (d) 1
  37. 37.What is the additive inverse of −5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  38. 38.Is 9/3 positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −2/3 or −6/7? (a) −2/3 (b) −6/7
  40. 40.What is 5/9 + (−1/5)? (a) 34/45 (b) −16/45 (c) 16/45 (d) 2/7

Answer key

  1. −8/5
  2. 2/35
  3. −11/10
  4. 1/8
  5. −1/8
  6. Positive
  7. −1/4
  8. −5/9
  9. −1/3
  10. Negative
  11. 5/63
  12. −5/12
  13. −2/9
  14. 1/45
  15. −37/40
  16. −1/2
  17. 5/72
  18. −7/8
  19. −3/5
  20. Negative
  21. 4/3
  22. Negative
  23. −2/35
  24. −1/4
  25. −27/35
  26. −7/20
  27. Negative
  28. Positive
  29. 7/6
  30. 5/56
  31. −3/8
  32. −41/56
  33. −1/6
  34. −3/8
  35. 5/9
  36. 1
  37. 5/6
  38. Positive
  39. −2/3
  40. 16/45

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