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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 635 · 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.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) −2/5 (c) −5/2 (d) 2/5
  2. 2.What is (−1/9) + (−7/8)? (a) 71/72 (b) 55/72 (c) −71/72 (d) −8/17
  3. 3.Is −4/8 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−2/5) + 3/5? (a) 1/5 (b) 1/10 (c) −1/5 (d) −1
  5. 5.What is (−8/9) + 2/3? (a) −14/9 (b) −1/2 (c) 2/9 (d) −2/9
  6. 6.What is (−1/9) − 1/4? (a) 5/36 (b) 13/36 (c) −13/36 (d) −2/13
  7. 7.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  8. 8.What is 7/8 − (−1/8)? (a) 1 (b) 1/2 (c) 3/4 (d) −1
  9. 9.Which is smaller: −3/4 or −3/7? (a) −3/7 (b) −3/4
  10. 10.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  11. 11.Which is bigger: −4/9 or −5/6? (a) −4/9 (b) −5/6
  12. 12.What is (−7/9) + 4/7? (a) −3/16 (b) 13/63 (c) −85/63 (d) −13/63
  13. 13.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −4/10 (d) −5/2
  14. 14.What is (−8/9) − 3/7? (a) −29/63 (b) −83/63 (c) 83/63 (d) −11/16
  15. 15.What is 1/7 + (−1/6)? (a) 0 (b) −1/42 (c) 1/42 (d) 13/42
  16. 16.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  17. 17.Which is bigger: −1/5 or −7/9? (a) −1/5 (b) −7/9
  18. 18.What is 1/2 + (−1/2)? (a) 0 (b) 1
  19. 19.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  20. 20.Which is bigger: −4/7 or 1/8? (a) 1/8 (b) −4/7
  21. 21.Which is bigger: −1/8 or −6/7? (a) −1/8 (b) −6/7
  22. 22.What is (−1/2) − 2/7? (a) −11/14 (b) −1/3 (c) −3/14 (d) 11/14
  23. 23.What is (−4/7) + 1/8? (a) −1/5 (b) 25/56 (c) −25/56 (d) −39/56
  24. 24.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −2/5 (d) −5/2
  25. 25.Is 5/9 positive or negative? (a) Positive (b) Negative
  26. 26.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −7/8 or −2/5? (a) −2/5 (b) −7/8
  28. 28.What is (−7/8) − (−2/7)? (a) −65/56 (b) −1/3 (c) 33/56 (d) −33/56
  29. 29.Which is bigger: −7/9 or −7/8? (a) −7/8 (b) −7/9
  30. 30.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) 8/9 (d) −9/8
  31. 31.Is 9/3 positive or negative? (a) Negative (b) Positive
  32. 32.What is 4/5 − (−2/3)? (a) −22/15 (b) 3/4 (c) 22/15 (d) 2/15
  33. 33.What is (−1/2) + (−2/5)? (a) 9/10 (b) −9/10 (c) −1/10 (d) −3/7
  34. 34.What is (−2/9) + 3/7? (a) 1/16 (b) −41/63 (c) −13/63 (d) 13/63
  35. 35.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  36. 36.What is 3/8 + (−5/8)? (a) −1/8 (b) −1/4 (c) 1/4 (d) 1
  37. 37.What is (−3/8) − 1/6? (a) −5/24 (b) 13/24 (c) −13/24 (d) −2/7
  38. 38.What is (−5/8) − 2/5? (a) 41/40 (b) −7/13 (c) −41/40 (d) −9/40
  39. 39.Which is smaller: −2/3 or −1/8? (a) −2/3 (b) −1/8
  40. 40.What is 1/8 + (−5/7)? (a) 47/56 (b) −4/15 (c) −33/56 (d) 33/56

Answer key

  1. −2/5
  2. −71/72
  3. Negative
  4. 1/5
  5. −2/9
  6. −13/36
  7. −2/5
  8. 1
  9. −3/4
  10. −5/8
  11. −4/9
  12. −13/63
  13. −2/5
  14. −83/63
  15. −1/42
  16. 9
  17. −1/5
  18. 0
  19. Negative
  20. 1/8
  21. −1/8
  22. −11/14
  23. −25/56
  24. −2/5
  25. Positive
  26. Positive
  27. −2/5
  28. −33/56
  29. −7/9
  30. −8/9
  31. Positive
  32. 22/15
  33. −9/10
  34. 13/63
  35. Negative
  36. −1/4
  37. −13/24
  38. −41/40
  39. −2/3
  40. −33/56

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