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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 988 · 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 3/7 − (−3/4)? (a) −9/28 (b) −33/28 (c) 33/28 (d) 6/11
  2. 2.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9
  3. 3.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  4. 4.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  5. 5.Is −2/4 positive or negative? (a) Negative (b) Positive
  6. 6.Is −3/3 positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  8. 8.What is (−5/7) + 2/9? (a) 31/63 (b) −59/63 (c) −31/63 (d) −3/16
  9. 9.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −4/5 or −5/8? (a) −4/5 (b) −5/8
  11. 11.Which is bigger: −5/7 or −2/5? (a) −5/7 (b) −2/5
  12. 12.What is 3/7 − (−4/9)? (a) 55/63 (b) 7/16 (c) −55/63 (d) −1/63
  13. 13.What is 8/9 + (−5/6)? (a) −1/18 (b) 31/18 (c) 1/5 (d) 1/18
  14. 14.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  15. 15.Is −1/6 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−3/4) + (−3/7)? (a) −9/28 (b) −6/11 (c) −33/28 (d) 33/28
  17. 17.Which is bigger: −5/7 or −3/4? (a) −3/4 (b) −5/7
  18. 18.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  19. 19.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −12/14
  20. 20.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  21. 21.Which is bigger: −1/5 or −7/9? (a) −1/5 (b) −7/9
  22. 22.What is (−8/9) + 1/6? (a) −7/15 (b) −13/18 (c) 13/18 (d) −19/18
  23. 23.Is −9/(−9) positive or negative? (a) Positive (b) Negative
  24. 24.What is 2/5 + (−6/7)? (a) 44/35 (b) 16/35 (c) −1/3 (d) −16/35
  25. 25.Which is bigger: −8/9 or −1/5? (a) −8/9 (b) −1/5
  26. 26.What is 1/4 − (−1/2)? (a) −3/4 (b) −1/4 (c) 1/3 (d) 3/4
  27. 27.What is the additive inverse of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  28. 28.What is (−7/9) + 3/4? (a) −55/36 (b) −4/13 (c) 1/36 (d) −1/36
  29. 29.What is (−1/6) + (−1/3)? (a) −1/2 (b) −2/9 (c) 1/6 (d) 1/2
  30. 30.Which is smaller: −1/2 or −1/4? (a) −1/4 (b) −1/2
  31. 31.Is 5/8 positive or negative? (a) Negative (b) Positive
  32. 32.What is 1/8 + (−7/8)? (a) 3/4 (b) 1 (c) −3/8 (d) −3/4
  33. 33.What is the additive inverse of −2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  34. 34.What is (−3/4) − (−1/8)? (a) −5/8 (b) 5/8 (c) −1/6 (d) −7/8
  35. 35.Which is smaller: −7/9 or −2/9? (a) −7/9 (b) −2/9
  36. 36.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  37. 37.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −2/6
  38. 38.What is (−1/7) + (−6/7)? (a) 5/7 (b) −1 (c) −1/2 (d) 1
  39. 39.What is (−1/8) + (−3/8)? (a) 1/4 (b) −1/4 (c) 1/2 (d) −1/2
  40. 40.What is (−1/2) + 1/4? (a) −3/4 (b) −1/4 (c) 1/4 (d) 0

Answer key

  1. 33/28
  2. −2/9
  3. −2/7
  4. −1/3
  5. Negative
  6. Negative
  7. 9/2
  8. −31/63
  9. Negative
  10. −5/8
  11. −2/5
  12. 55/63
  13. 1/18
  14. Positive
  15. Negative
  16. −33/28
  17. −5/7
  18. 7/6
  19. −6/7
  20. −4
  21. −1/5
  22. −13/18
  23. Positive
  24. −16/35
  25. −1/5
  26. 3/4
  27. −2/9
  28. −1/36
  29. −1/2
  30. −1/2
  31. Positive
  32. −3/4
  33. 2/5
  34. −5/8
  35. −7/9
  36. Positive
  37. −1/3
  38. −1
  39. −1/2
  40. −1/4

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