CBSE Questions for Class 8 Maths Rational Numbers Quiz 4 - MCQExams.com

There exists ....... number of rational numbers between $$\dfrac {2}{5}$$ and $$\dfrac {4}{5}.$$
  • $$0$$
  • $$1$$
  • $$5$$
  • infinite
Which of the following rational numbers lies between $$0$$ and $$-1$$?
  • $$0$$
  • $$-1$$
  • $$\dfrac {-1}{4}$$
  • $$\dfrac {1}{4}$$
Which of the following rational numbers lies between $$\dfrac {3}{2}$$ and $$4$$ ?
  • $$\dfrac {1}{2}$$
  • $$3$$
  • $$\dfrac {8}{2}$$
  • $$\dfrac {9}{2}$$
There are ....... rational number which when multiplied by $$0$$, gives product as $$1.$$
  • $$0$$
  • $$2$$
  • $$4$$
  • infinite
The number $$\dfrac {13}{15}$$ is correctly represented on number line 
$$1$$ is the multiplicative identity for ........
  • whole numbers
  • integers
  • rational numbers
  • all of the above
$$\dfrac {3x}{y}\times 1 =  ..........$$ is stated by multiplicative identity property. 
  • $$3x$$
  • $$y$$
  • $$\dfrac {3x}{y}$$
  • $$1$$
The sum of two rational numbers is $$-5$$. If one of the numbers is $$\dfrac {-3}{5}$$, find the other number
  • $$-4\dfrac {2}{5}$$
  • $$4\dfrac {8}{5}$$
  • $$\dfrac {-6}{5}$$
  • $$4\dfrac {6}{5}$$
Which pair of numbers are rationalising factors to one another
  • $$2\sqrt{3}$$ and $$\sqrt{3}$$
  • $${3}^{1/3}-{3}^{-1/3}$$ and $${3}^{2/3}+1+{3}^{-2/3}$$
  • $${x}^{1/x}-{x}^{-1/n}$$ and $$\left( { x }^{ \cfrac { n-1 }{ n } }-{ x }^{ \cfrac { n-2 }{ n } }+........{ x }^{ -\left( \cfrac { n-1 }{ n } \right) } \right) $$
  • $$\sqrt [ 3 ]{ 5 } +\cfrac{1}{\sqrt [ 3 ]{ 5 } }$$ and $$\sqrt [ 3 ]{ {5}^{2} } +1-\cfrac{1}{\sqrt [ 3 ]{ {5}^{2} } }$$
Which are three rational numbers between $$-2$$ and $$-1$$?
  • $$\dfrac { -1 }{ 2 } ,\dfrac { -1 }{ 3 } ,\dfrac { -1 }{ 5 } $$
  • $$\dfrac { -3 }{ 2 } ,\dfrac { -7 }{ 4 } ,\dfrac { -5 }{ 4 } $$
  • $$\dfrac { -12 }{ 5 } ,\dfrac { -22 }{ 5 } ,\dfrac { 12 }{ 5 } $$
  • $$\dfrac { 3 }{ 2 } ,\dfrac { 7 }{ 4 } ,\dfrac { 5 }{ 4 } $$
How many rational numbers exist between any two distinct rational numbers?
  • $$2$$
  • $$3$$
  • $$10$$
  • Infinite
The multiplicative inverse of $$-7$$ is _____
  • $$7$$
  • $$\dfrac {1}{7}$$
  • $$-7$$
  • $$\dfrac {-1}{7}$$
Out of the following numbers, which can be represented on a number line?
$$0, \dfrac56, 1, \dfrac24$$
  • $$0$$
  • $$\dfrac56$$
  • $$1$$
  • All of these
Say true or false
The distributive property can work if there is multiplication or division inside the parentheses
  • True
  • False
While representing $$\dfrac23$$ on a number line, between which two integers does the point lie?
  • $$1$$ and $$2$$
  • $$0$$ and $$1$$
  • $$2$$ and $$3$$
  • $$1$$ and $$3$$
The additive inverse of $$\dfrac {-3}{5}$$ is ________
  • $$\dfrac {-3}{5}$$
  • $$\dfrac {5}{3}$$
  • $$\dfrac {3}{5}$$
  • $$\dfrac {-5}{3}$$
The given property $$a+b=b+a$$ is known as:
  • Commutative property
  • Distributive Property
  • Associative Property
  • Closure property
The rational number between the pair of number $$\dfrac{1}{2}$$ and $$\sqrt 1$$ is:
  • $$\dfrac{9}{4}$$
  • $$\dfrac{3}{4}$$
  • $$\dfrac{5}{4}$$
  • $$\dfrac{7}{4}$$
Find the additive inverse of the following rational numbers: 
(i) $$-\dfrac{2}{3}$$
  • $$\dfrac{2}{3}$$
  • $$\dfrac{4}{3}$$
  • $$\dfrac{5}{3}$$
  • $$\dfrac{7}{3}$$
Where does a rational number $$\displaystyle\frac{-2}{3}$$ lies on the number line?
  • Lies to the left side of $$0$$ on the number line
  • Lies to the right side of $$0$$ on the number line
  • It is not possible to represent on the number line
  • Cannot be determined on which side the number lies
Name the property of rational numbers illustrated by the given statement. $$\displaystyle\frac{-3}{2}\times \frac{5}{4}+\frac{-3}{2}\times \frac{-7}{6}=\frac{-3}{2}\times \left(\displaystyle\frac{5}{4}+\frac{-7}{6}\right)$$.
  • Associativity
  • Distributivity
  • Commutativity
  • None of these
The additive identity of rational number is ______.
  • $$0$$
  • $$1$$
  • $$-1$$
  • $$2$$
Name the property of rational numbers illustrated by the given statement. $$\displaystyle\frac{7}{4}\times \left(\displaystyle\frac{-8}{3}+\frac{-13}{12}\right)=\frac{7}{4}\times \frac{-8}{3}+\frac{7}{4}\times \frac{-13}{12}$$.
  • Commutativity
  • Associativity of multiplication
  • Distributivity of multiplication over addition
  • Distributivity of addition over multiplication
(X + Y) + Z = X + (Y + Z) means
  • Operator OR is distributive
  • Operator OR is associative
  • Operator AND is associative
  • None of the above

 A: Rational numbers are always closed under division.
 R: Division by zero is not defined.
  • A is true and R is the correct explanation of A
  • A is false and R is false
  • A is true and R is false
  • A is false and R is true
In the number line, the rational numbers represented by $$'A'$$ is
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  • $$\dfrac {2}{8}$$
  • $$\dfrac {3}{8}$$
  • $$\dfrac {1}{8}$$
  • $$\dfrac {2}{3}$$
Between two rational numbers, there exists-
  • No rational number
  • Only one rational number
  • Infinite numbers of rational numbers
  • No irrational number
State whether the following statement is true/ false?
$$0$$ is the identity element for subtraction of rational numbers.
  • True
  • False
State true or false 
The multiplicative inverse of $$\dfrac {-1}4$$ is $$\dfrac{-1}{8}$$.
  • True
  • False
Express the following decimal in the form $$\dfrac{p}{q}$$: 
$$9.90$$
  • $$\dfrac{99}{10}$$
  • $$\dfrac{999}{100}$$
  • $$\dfrac{99}{1000}$$
  • None of the above
0:0:1


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