CBSE Questions for Class 8 Maths Rational Numbers Quiz 9 - MCQExams.com

Which of the following statements is always true ?
  • $$\dfrac{x - y}{2}$$ is a rational number between x and y
  • $$\dfrac{x + y}{2}$$ is a rational number between x and y
  • $$\dfrac{x \times y}{2}$$ is a rational number between x and y
  • $$\dfrac{x \div y}{2}$$ is a rational number between x and y
If $$x + 0 = 0 + x = x,$$ which is rational number, then $$0$$ is called
  • Identity for addition of rational numbers.
  • Additive inverse of x.
  • Multiplicative inverse of x.
  • Reciprocal of x.
Which of the following is not true ?
  • Rational numbers are closed under addition
  • Rational numbers are closed under subtraction
  • Rational numbers are closed under multiplication
  • Rational numbers are closed under division
The multiplicative inverse of $$-1 \dfrac{1}{7}$$ is
  • $$\dfrac{8}{7}$$
  • $$\dfrac{-8}{7}$$
  • $$\dfrac{7}{8}$$
  • $$\dfrac{7}{-8}$$
State whether the statements are true (T) or false (F).
The multiplicative inverse of $$\dfrac{-3}{5}$$ is $$\dfrac{5}{3}.$$
  • True
  • False
State whether the statement is true (T) or false (F).
$$\dfrac{9}{6}$$ lies between $$1$$ and $$2$$.
  • True
  • False
State whether the statements are true (T) or false (F).
If $$a \neq 0$$ the multiplicative inverse of $$\dfrac{a}{b}$$ is $$\dfrac{b}{a}.$$
  • True
  • False
State whether the statement is true (T) or false (F).
$$\dfrac{5}{10}$$ lies between $$\dfrac{1}{2}$$ and $$1.$$
  • True
  • False
State whether the statement is true (T) or false (F).
$$\dfrac{5}{6}$$ lies between $$\dfrac{2}{3}$$ and $$1$$.
  • True
  • False
State whether the statements are true (T) or false (F).
Between any two rational numbers there are exactly ten rational numbers.
  • True
  • False
State whether the statements are true (T) or false (F).
For all rational numbers x and y, $$x \times y = y \times x.$$
  • True
  • False
State whether the statement is true (T) or false (F).
$$\dfrac{-7}{2}$$ lies between $$-3$$ and $$-4.$$
  • True
  • False
State whether the statement is true (T) or false (F).
The rational number $$\dfrac{57}{23}$$ lies to the left of zero on the number line.
  • True
  • False
State whether the statements are true (T) or false (F).
All positive rational numbers lie between $$0$$ and $$1000.$$
  • True
  • False
Rational numbers are closed under addition and multiplication but not under subtraction.
  • True
  • False
State whether the statement are true (T) or false (F).
The rational numbers $$\dfrac{1}{2}$$ and $$-1$$ are on the opposite sides of zero on the number line.
  • True
  • False
The multiplication inverse of $$10^{-100}$$ is
  • $$10$$
  • $$100$$
  • $$10^{100}$$
  • $$10^{-100}$$
The multiplicative inverse of $$(-4)^{-2}$$ is $$(4)^{2}$$.
  • True
  • False
The multiplicative inverse of $$\left(\dfrac{3}{2}\right)^{2}$$ is not equal to $$\left(\dfrac{2}{3}\right)^{-2}$$.
  • True
  • False
The multiplicative inverse of $$\left(-\dfrac {5}{9} \right)^{99}$$ is 
  • $$\left(-\dfrac {5}{9} \right)$$
  • $$\left(-\dfrac {5}{9} \right)^{99}$$
  • $$\left(-\dfrac {9}{-5} \right)^{99}$$
  • $$\left(-\dfrac {9}{5} \right)^{99}$$
State whether the following statement is true of false? Justify your answer.
$$\dfrac {\sqrt {12}}{\sqrt {3}}$$ is not a rational number as $$\sqrt {12}$$ and $$\sqrt {3}$$ are not integers.
  • True
  • False
The product of rational number $$\dfrac{-2}{5}$$ and its multiplicative inverse is
  • 1
  • 0
  • $$\dfrac{4}{25}$$
  • $$\dfrac{2}{5}$$

The Multiplicative inverse of $$\dfrac{-4}{9}$$ is
  • $$\dfrac{4}{9}$$
  • $$\dfrac{-9}{4}$$
  • $$\dfrac{9}{4}$$
  • none of these
State whether the statements are true (T) or false (F).
The rational number $$\dfrac{-13}{-5}$$ lies to the right of zero in the number line.
  • True
  • False
The Additive inverse of $$\dfrac{-7}{12}$$
is
  • $$\dfrac{12}{-7}$$
  • $$\dfrac{-7}{12}$$
  • $$\dfrac{-5}{12}$$
  • $$\dfrac{7}{12}$$
State true or false.
There exists at least one integer between two different rational numbers
  • True
  • False
The product of rational number $$\dfrac{-2}{3}$$ and its additive inverse is
  • 1
  • $$\dfrac{2}{3}$$
  • $$\dfrac{4}{9}$$
  • $$\dfrac{-4}{9}$$
State whether the statement are true (T) or false (F).
The rational numbers $$\dfrac{-17}{6}$$ and $$\dfrac{8}{-15}$$ lie on opposite sides of zero on the number line.
  • True
  • False
State true or false.
For each rational number, one can find the next rational number
  • True
  • False
Find,
$$\dfrac { -2 }{ 3 } \times \dfrac { 3 }{ 5 } +\dfrac { 5 }{ 2 } -\dfrac { 3 }{ 5 } \times \dfrac { 1 }{ 6 }$$
  • $$-2$$
  • $$2$$
  • $$0$$
  • $$1$$
0:0:1


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