CBSE Questions for Class 8 Maths Rational Numbers Quiz 8 - MCQExams.com

Study the following statements.
Statement - 1 : Rational numbers are always closed under division.
Statement - 2 : Division by zero is not defined.
Which of the following options hold?
  • Both statement - 1 and statement - 2 are true.
  • Statement - 1 is true but statement -2 is false.
  • Statement - 1 is false but statement -2 is true.
  • Both statement - 1 and statement - 2 are false.
If a, b, c are rational numbers, then associativity of rational numbers under addition is given by
  • $$a + b = b + a$$
  • $$a + (b + c) = (a + b) + c$$
  • $$a \times (b \times c) = (a \times b) \times c$$
  • $$a + (b - c) = (a + b) - c$$
Find two rational numbers lying between $$\dfrac{-1}{3}$$ and $$\dfrac{1}{2}$$.
  • -1/6,1 /6
  • -2/3, 2/3
  • none
  • both
If $$x$$ and $$y$$ are rational numbers then, then the following numbers:
$$x^{2}- y^{2}$$ is
  • rational number
  • irrational number
  • natural number
  • whole number
The rational number that lies between $$\dfrac{3}{7}$$ and $$\dfrac{2}{3}$$ is
  • $$\dfrac{2}{5}$$
  • $$\dfrac{4}{7}$$
  • $$\dfrac{3}{7}$$
  • $$\dfrac{2}{3}$$
Which of the following statements are false about $$\dfrac{-2}{3}?$$
  • It lies to the left side of zero on the number line.
  • It lies to the right side of zero on the number line.
  • It is not possible to represent on the number line.
  • Negative rational numbers lie on the left of $$0$$ on the number line.
The rational number lies between $$\cfrac{3}{7}$$ and $$\cfrac{2}{3}$$ is
  • $$\cfrac{2}{5}$$
  • $$\cfrac{4}{7}$$
  • $$\cfrac{3}{7}$$
  • $$\cfrac{2}{3}$$
What should be subtracted from $$\dfrac {a}{b}$$ so that the resulting fraction will be multiplicative inverse of the fraction $$\dfrac {a}{b}$$?
  • $$\dfrac {a^{2} - b^{2}}{ab}$$
  • $$a^{2} - b^{2}$$
  • $$\dfrac {ab}{a^{2} - b^{2}}$$
  • $$a^{2} + b^{2}$$
  • None of these
What is the additive inverse of $$-\dfrac { 3 }{ 13 } $$?
  • $$\dfrac{-13}{3} $$
  • $$\dfrac{3}{13} $$
  • $$1\dfrac{1}{3} $$
  • None of the above
Express the following decimal in the form $$\dfrac{p}{q}$$: 
$$0.\bar{4}$$
  • $$\dfrac{4}{9}$$
  • $$\dfrac{40}{9}$$
  • $$\dfrac{4}{90}$$
  • None of the above
Express the following decimal in the form $$\dfrac{p}{q}$$: 
$$2.15$$
  • $$\dfrac{215}{1000}$$
  • $$\dfrac{43}{20}$$
  • $$\dfrac{75}{100}$$
  • None of the above
Express the following decimal in the form $$\dfrac{p}{q}$$:
$$7.010$$
  • $$\dfrac{7.5}{100}$$
  • $$\dfrac{710}{100}$$
  • $$\dfrac{701}{100}$$
  • None of the above
State whether the statement is true/false.

The rational numbers $$\dfrac{-12}{-5}$$ and $$\dfrac{-7}{7}$$ are on the opposite side of zero on the number line.
  • True
  • False
State whether the statement is true/false.

The rational number $$\dfrac{3}{4}$$ lies to the right of zero on the number line.
  • True
  • False
State whether the statement is true/false.

The rational number $$\dfrac{-12}{-17}$$ lies to the left of zero on the number line.
  • True
  • False
State whether the statement is true/false.

The rational number $$\dfrac{29}{23}$$ lies to the left of zero on the number line.
  • True
  • False
State whether the statement is true/false.

The rational numbers $$\dfrac{-21}{5}$$ and $$\dfrac{7}{-31}$$ are on the opposite side of zero on the number line.
  • True
  • False
State whether the statement is true/false.

The rational number $$\dfrac{-3}{-5}$$ is on the right of $$\dfrac{-4}{7}$$ on the number line.
  • True
  • False
State true or false:
Between any two distinct rational numbers there are infinitely many rational numbers.
  • True
  • False
State true or false.
The rational numbers $$\dfrac {1}{3}$$ and $$\dfrac {-5}{2}$$ are on opposite sides of $$0$$ on the number line.
  • True
  • False
State whether the statements are true (T) or false (F).
Rational numbers can be added (or multiplied) in any order $$\dfrac{-4}{5} \times \dfrac{-6}{5} = \dfrac{-6}{5} \times \dfrac{-4}{5}$$
  • True
  • False
State true or false.
The rational number $$\dfrac {-18}{-13}$$ lies to the left of $$0$$ on the number line.
  • True
  • False
Multiplicative inverse of $$\dfrac{2}{-3}$$ is
  • $$\dfrac{2}{3}$$
  • $$\dfrac{-3}{2}$$
  • $$\dfrac{3}{2}$$
  • None of these

State whether the statements given are True or False

The rational number $$\dfrac{-12}{-5}$$ and $$\dfrac{-7}{17}$$ are on the opposite sides of zero on the number line.
  • True
  • False
Which of the following rational numbers is equal to its reciprocal?
  • $$1$$
  • $$2$$
  • $$\dfrac{1}{2}$$
  • $$0$$
To get the product 1, we should multiply $$\dfrac{8}{21}$$ by
  • $$\dfrac{8}{21}$$
  • $$\dfrac{-8}{21}$$
  • $$\dfrac{21}{8}$$
  • $$\dfrac{-21}{8}$$
If $$x$$ be any rational number, then $$x + 0$$ is equal to
  • $$x$$
  • $$0$$
  • $$-x$$
  • Not defined
Multiplication inverse of a negative rational number is
  • A positive rational number.
  • A negative rational number
  • Both positive and negative rational numbers
  • None of the above
Which of the following is true for the number $$1$$?
  • It is identity for addition of rational numbers.
  • It is identity for subtraction of rational numbers.
  • It is identity for multiplication of rational numbers.
  • It is identity for division of rational numbers.
Zero (0) is
  • The identity for addition of rational numbers.
  • The identity for subtraction of rational numbers.
  • The identity for multiplication of rational numbers.
  • The identity for division of rational numbers.
0:0:1


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