CBSE Questions for Class 8 Maths Rational Numbers Quiz 5 - MCQExams.com

State true or false.
$$\dfrac {-3}{5}$$ lies to the left of $$0$$ on the number line.
  • True
  • False
How many rational numbers are there between two rational numbers?
  • $$1$$
  • $$0$$
  • unlimited
  • $$100$$

State true or false.

The rational number $$\dfrac{-3}{4}$$ lies to the right of zero on the number line.
  • True
  • False
$$\dfrac{-3}{8} + \dfrac{1}{7} = \dfrac{1}{7} + \left(\dfrac{-3}{8}\right)$$ is an example to show that
  • Addition of rational numbers is commutative.
  • Rational numbers are closed under addition.
  • Addition of rational number is associative.
  • Rational numbers are distributive under addition.
Which of the following is an example of distribute property of multiplication over addition for rational numbers ?
  • $$\dfrac{-1}{4} \times \left \{ \dfrac{2}{3} + \left ( \dfrac{-4}{7} \right ) \right \} = \left [ -\dfrac{1}{4} \times \dfrac{2}{3} \right ] + \left [ -\dfrac{1}{4} \times \left ( \dfrac{-4}{7} \right ) \right ]$$
  • $$\dfrac{-1}{4} \times \left \{ \dfrac{2}{3} + \left ( \dfrac{-4}{7} \right ) \right \} = \left [ \dfrac{1}{4} \times \dfrac{2}{3} \right ] - \left ( \dfrac{-4}{7} \right )$$
  • $$\dfrac{-1}{4} \times \left \{ \dfrac{2}{3} + \left ( \dfrac{-4}{7} \right ) \right \} = \dfrac{2}{3} + \left ( -\dfrac{1}{4} \right ) \times \left ( \dfrac{-4}{7} \right )$$
  • $$\dfrac{-1}{4} \times \left \{ \dfrac{2}{3} + \left ( \dfrac{-4}{7} \right ) \right \} = \left \{ \dfrac{2}{3} + \left ( -\dfrac{4}{7} \times \right ) \right \} - \dfrac{1}{4}$$
State whether the statement is true (T) or false (F).
For all rational numbers x and y, $$x - y = y - x$$
  • True
  • False
Which of the following expressions shows that rational numbers are associative under multiplication ?
  • $$\dfrac{2}{3} \times (\dfrac{-6}{7} \times \dfrac{3}{5}) = (\dfrac{2}{3} \times \dfrac{-6}{7}) \times \dfrac{3}{5}$$
  • $$\dfrac{2}{3} \times (\dfrac{-6}{7} \times \dfrac{3}{5}) = \dfrac{2}{3} \times (\dfrac{3}{5} \times \dfrac{-6}{7})$$
  • $$\dfrac{2}{3} \times (\dfrac{-6}{7} \times \dfrac{3}{5}) = (\dfrac{3}{5} \times \dfrac{2}{3}) \times \dfrac{-6}{7}$$
  • $$(\dfrac{2}{3} \times \dfrac{-6}{7}) \times \dfrac{3}{5} = (\dfrac{-6}{7} \times \dfrac{3}{5}) \times \dfrac{2}{3}$$
$$\dfrac{x + y}{2}$$ is a rational number 
  • Between x and y
  • Less than x and y both.
  • Greater than x and y both.
  • Less than x but greater than y.
The additive inverse of $$\dfrac{-7}{19}$$ is
  • $$\dfrac{-7}{19}$$
  • $$\dfrac{7}{19}$$
  • $$\dfrac{19}{7}$$
  • $$\dfrac{-19}{7}$$
The numerical expression $$\dfrac{3}{8} + \dfrac{(-5)}{7} = \dfrac{-19}{56}$$ shows that 
  • Rational numbers are not closed under addition.
  • Rational numbers are closed under addition.
  • Rational numbers are closed under multiplication.
  • Addition of rational numbers is not commutative.
State whether the statement is true (T) or false (F).
The rational number $$\dfrac{-8}{-3}$$ lies neither to the right nor to the left of zero on the number line.
  • True
  • False
State whether the following statement is true of false:
Number of rational numbers between $$15$$ and $$18$$ is finite.
  • True
  • False
State whether the statements are true (T) or false (F).
The rational numbers $$\dfrac{-5}{-7}$$ and $$\dfrac{7}{-9}$$ lie on opposite sides of zero on the number line.
  • True
  • False
State whether the following statement is true/ false?
$$-5/7$$ is the additive inverse of $$5/7$$.
  • True
  • False
State whether the following statement is true/ false?
Commutative property holds for subtraction of rational numbers.
  • True
  • False
State whether the following statement is true/ false?
$$0$$ is the additive inverse of its own.
  • True
  • False
State whether the following statement is true/ false?
The associative property does not hold for subtraction of rational numbers.
  • True
  • False
Two rational numbers between $$\dfrac{1}{5}$$ and $$\dfrac{4}{5}$$ are :
  • 1 and $$\dfrac{3}{5}$$
  • $$\dfrac{2}{5}$$ and $$\dfrac{3}{5}$$
  • $$\dfrac{1}{2}$$ and $$\dfrac{2}{1}$$
  • $$\dfrac{3}{5}$$ and $$\dfrac{6}{5}$$
Find the nine rational numbers between $$0$$ and $$1$$.
  • $$0.1,0.2,0.3, ... ,0.9$$
  • $$ 1.1,0.2 ,10.3, ... ,0.9$$
  • $$0.1,0.2,0.3, ... ,20.9 $$
  • $$0.1 , 0.2 , 10.3 , ... , 0.9 $$
Choose the rational number, which does not lie, between the rational numbers, $$-\dfrac{2}{3}$$ and $$-\dfrac{1}{5}$$
  • $$-\dfrac{3}{10}$$
  • $$\dfrac{3}{10}$$
  • $$-\dfrac{1}{4}$$
  • $$-\dfrac{7}{20}$$
Choose the rational number which does not lie between rational numbers $$\dfrac{3}{5}$$ and $$\dfrac{2}{3}$$.
  • $$\dfrac{46}{75}$$
  • $$\dfrac{47}{75}$$
  • $$\dfrac{49}{75}$$
  • $$\dfrac{50}{75}$$
State true or false.
Five rational numbers between.
$$\dfrac{2}{3}$$ and $$\dfrac{4}{5}$$ are $$\dfrac{41}{60},\dfrac{42}{60},\dfrac{43}{60},\dfrac{44}{60},\dfrac{45}{60}$$
  • True
  • False
State whether the given statement is true or false:

Five rational numbers between $$\dfrac{-3}{2}$$ and $$\dfrac{5}{3}$$ are $$\dfrac{-8}{6},\dfrac{-7}{6},0,\dfrac{1}{6},\dfrac{2}{6}$$.
  • True
  • False
State true or false
Five rational numbers between $$\dfrac{1}{4}$$ and $$\dfrac{1}{2}$$ are $$\displaystyle\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}$$.
  • True
  • False
State true or false:
Ten rational numbers between $$\dfrac{3}{5}$$ and $$\dfrac {3}{4}$$ are 
$$ \displaystyle\frac{97}{160},\frac{98}{160},\frac{99}{160},\frac{100}{160},\frac{101}{160},\frac{102}{160},\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}$$
  • True
  • False
State true or false.
Three rational numbers between $$\dfrac{2}{5}$$ and $$\dfrac{3}{5}$$ is  $$\dfrac{9}{20},\dfrac{10}{20},\dfrac{11}{20}$$
  • True
  • False

Which of the following statements is true?
  • $$\displaystyle \frac{-5}{8}$$ lies to the left of $$0$$ on the number line
  • $$\displaystyle \frac{3}{7}$$ lies to the right of $$0$$ on the number line.
  • The rational numbers $$\displaystyle \frac{1}{3}$$ and $$\displaystyle \frac{-7}{3}$$ are on opposite sides of $$0$$ on the number line
  • All the above
__________ are rational numbers between between 5 and -2.
  • $$\displaystyle 5, \frac{33}{4},\ \frac{3}{2}, -\frac{1}{4}, -2$$
  • $$\displaystyle  \frac{13}{4},\ \frac{3}{2}, -\frac{1}{4} $$
  • $$\displaystyle 5, \frac{13}{4},\ \frac{13}{2}, -\frac{1}{4}, -2$$
  • none of the above
Which of the following order is correct for rational numbers between $$\displaystyle \frac{4}{11}$$ and $$\displaystyle \frac{9}{16}?$$
  • $$\dfrac{4}{11}$$, $$\dfrac{67}{176}$$, $$\dfrac{79}{176}$$, $$\dfrac{9}{16}$$
  • $$\dfrac{4}{11}$$, $$\dfrac{67}{276}$$, $$\dfrac{79}{176}$$, $$\dfrac{9}{16}$$
  • $$\displaystyle \frac{4}{11}, \frac{17}{38}, \frac{13}{27}, \frac{22}{43},  \frac{9}{16}$$
  • $$\displaystyle \frac{4}{11}, \frac{27}{38}, \frac{13}{27}, \frac{22}{43},  \frac{9}{16}$$
Which property of multiplication is illustrated by : $$\displaystyle {\frac{-4}{3}\, \times\, \left (\frac{-6}{5}\, +\, \frac{8}{7} \right )\, =\, \left (\frac{-4}{3}\, \times\, \frac{-6}{5} \right )\, +\, \left (\frac{-4}{3}\, \times\, \frac{8}{7} \right )}$$
  • Associative property
  • Commutative property
  • Distributive property
  • None of these
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