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8th Standard Maths Rational Numbers Important Questions Question Bank Software Jul-19 , 2019

8th Standard Maths Rational Numbers Important Questions

Rational Numbers Important Questions

8th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5

  1. The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \) is

    (a)

    \(\frac { 34 }{ 99 } \)

    (b)

    \(\frac { -142 }{ 99 } \)

    (c)

    \(\frac { 142 }{ 99 } \)

    (d)

    \(\frac { -34 }{ 99 } \)

  2. Which of the following rational numbers is the greatest?

    (a)

    \(\frac { -17 }{ 24 } \)

    (b)

    \(\frac { -13 }{ 16 } \)

    (c)

    \(\frac { 7 }{ -8 } \)

    (d)

    \(\frac { -31 }{ 32 } \)

  3. Which of the following pairs is equivalent?

    (a)

    \(\frac { -20 }{ 12 } ,\frac { 5 }{ 3 } \)

    (b)

    \(\frac { 16 }{ -30 } ,\frac { -8 }{ 15 } \)

    (c)

    \(\frac { -18 }{ 36 } ,\frac { -20 }{ 44 } \)

    (d)

    \(\frac { 7 }{ -5 } ,\frac { -5 }{ 7 } \)

  4. Closure property is not true for division of rational numbers because of the number

    (a)

    0

    (b)

    -1

    (c)

    0

    (d)

    \(\frac { 1 }{ 2 } \)

  5. \(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

    (a)

    commutative

    (b)

    closure

    (c)

    distributive

    (d)

    associative

    6. 5 x 1 = 5

  6. The value of \(\frac { -5 }{ 12 } +\frac { 7 }{ 15 } \) = ________________

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    \(\frac { 1 }{ 20 } \)

  7. The value of \(\left( \frac { -15 }{ 23 } \right) \div \left( \frac { +30 }{ -46 } \right) \) is _____________

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    1

  8. The multiplicative inverse of \(2\frac { 3 }{ 5 } \) is _____________

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    \(\frac { 5 }{ 13 } \)

  9. If -3 x \(\frac { -6 }{ 11 } \) = \(\frac { -6 }{ 11 } \times x\) is _______________  

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    -3

  10. If distributive property is true for \(\left( \frac { 3 }{ 5 } \times \frac { -4 }{ 9 } \right) +\left( x\times \frac { 15 }{ 17 } \right) =\frac { 3 }{ 5 } \times (y+z)\) then x, y, z are ________ , ________ and ________.

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    \(\frac { 3 }{ 5 } \), \(\frac { -4 }{ 9 } \) and \(\frac { 15 }{ 17 } \)

    11. 5 x 1 = 5

  11. 0 is the smallest rational number

    (a) True
    (b) False

  12. There are an unlimited rationals between 0 and 1

    (a) True
    (b) False

  13. The rational number that does not have a reciprocal is 0.

    (a) True
    (b) False

  14. The rational number which is its own reciprocal is –1.

    (a) True
    (b) False

  15. The rational numbers that are equal to their additive inverses are 0 and –1.

    (a) True
    (b) False
    16. 5 x 1 = 5

  16. \(\left( \frac { 5 }{ 6 } +-1 \right) +\frac { -3 }{ 4 } =\frac { 5 }{ 6 } +\left( -1+\frac { -3 }{ 4 } \right) \)

    17. (1)

    distributive property of multiplication over addition

  17. \(\frac { -1 }{ 3 } \left( \frac { 1 }{ 4 } +\frac { 2 }{ 3 } \right) =\left( \frac { -1 }{ 3 } \times \frac { 1 }{ 4 } \right) +\left( \frac { -1 }{ 3 } \times \frac { 2 }{ 3 } \right) \)

    18. (2)

    associative property of addition

  18. \(\frac { -4 }{ 9 } \times \frac { 9 }{ -4 } =\frac { 9 }{ -4 } \times \frac { -4 }{ 9 } =1\)

    19. (3)

    does not exist

  19. \(\frac { 1 }{ 0 } \)

    20. (4)

    a rational number

  20. \(\frac { 22 }{ 7 } \)

    21. (5)

    multiplicative inverse property
    6 x 2 = 12

  21. List five rational numbers between
    0.25 and 0.35

  22. List five rational numbers between
    –1.2 and -2.3

  23. Write four rational numbers equivalent to
    \(\frac { -3 }{ 5 } \)

  24. Write four rational numbers equivalent to
    \(\frac { -7 }{ 6 } \)

  25. Write four rational numbers equivalent to
    \(\frac { 8 }{ 9 } \)

  26. If p + 2q = 18 and pq = 40, find \(\frac { 2 }{ p } +\frac { 1 }{ q } \)

    27. 6 x 3 = 18

  27. Write the following decimal numbers as rationals.
    3.0

  28. Write the following decimal numbers as rationals.
    0.25

  29. Write the following decimal numbers as rationals.
    0.666…

  30. Write the following decimal numbers as rationals.
    −5.8

  31. Write the following decimal numbers as rationals.
    1.15

  32. Reduce to the standard form
     \(\frac { 48 }{ -84 } \)

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