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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 541 · 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 6/(−4) positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −4/5 or −1/6? (a) −4/5 (b) −1/6
  3. 3.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) 1/5 (c) −5/1 (d) −1/5
  4. 4.What is (−1/3) − (−1/9)? (a) −2/9 (b) −4/9 (c) 0 (d) 2/9
  5. 5.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −5/4 (c) −4/5 (d) 5/4
  6. 6.Which is smaller: −5/6 or 3/5? (a) −5/6 (b) 3/5
  7. 7.What is (−1/3) + 1/2? (a) −5/6 (b) −1/6 (c) 0 (d) 1/6
  8. 8.Which is smaller: −1/7 or −5/6? (a) −5/6 (b) −1/7
  9. 9.What is (−3/5) + (−2/5)? (a) 1 (b) −1 (c) −1/5 (d) −1/2
  10. 10.What is 3/5 + (−1/7)? (a) 1/6 (b) 16/35 (c) −16/35 (d) 26/35
  11. 11.What is the additive inverse of 3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  12. 12.Write −6/54 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −6/54
  13. 13.What is (−6/7) + (−1/9)? (a) −7/16 (b) −61/63 (c) −47/63 (d) 61/63
  14. 14.Is 2/3 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−2/7) − (−5/7)? (a) 3/7 (b) 3/14 (c) −1 (d) −3/7
  16. 16.Which is bigger: −1/7 or −1/4? (a) −1/7 (b) −1/4
  17. 17.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  18. 18.What is (−1/4) − 2/5? (a) 3/20 (b) −13/20 (c) 13/20 (d) −1/3
  19. 19.Is −1/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is 1/7 + (−4/9)? (a) 37/63 (b) −3/16 (c) 19/63 (d) −19/63
  21. 21.Which is smaller: −1/6 or 8/9? (a) 8/9 (b) −1/6
  22. 22.What is (−1/7) − 1/9? (a) −1/8 (b) −2/63 (c) −16/63 (d) 16/63
  23. 23.What is 3/8 − (−5/8)? (a) −1/4 (b) 1/2 (c) 1 (d) −1
  24. 24.Is 4/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  26. 26.Is 5/9 positive or negative? (a) Negative (b) Positive
  27. 27.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  28. 28.Which is bigger: −4/9 or −3/8? (a) −3/8 (b) −4/9
  29. 29.What is 3/4 + (−1/4)? (a) 1/2 (b) 1 (c) −1/2 (d) 1/4
  30. 30.Is 7/6 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−8/9) + 3/7? (a) −5/16 (b) −83/63 (c) −29/63 (d) 29/63
  32. 32.What is (−2/5) − (−4/7)? (a) 6/35 (b) −6/35 (c) −34/35 (d) 1/6
  33. 33.What is 7/8 + (−1/5)? (a) −27/40 (b) 27/40 (c) 6/13 (d) 43/40
  34. 34.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −3/12 (b) −1/4 (c) 1/4 (d) −4/1
  35. 35.What is (−4/5) + (−1/6)? (a) 29/30 (b) −5/11 (c) −19/30 (d) −29/30
  36. 36.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  37. 37.Which is bigger: −1/8 or −1/6? (a) −1/8 (b) −1/6
  38. 38.What is 6/7 + (−3/5)? (a) 9/35 (b) 1/4 (c) −9/35 (d) 51/35
  39. 39.Which is bigger: −3/8 or −1/8? (a) −1/8 (b) −3/8
  40. 40.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3

Answer key

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

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