Question 1 :
<div>Say true or false:</div>The following<span> is a terminating decimal. </span>$ 5 \div 8$.

Question 2 :
State whether the statements are true (T) or false (F).<br>$\dfrac{-3}{4}$ is smaller than $-2.$

Question 3 :
What per cent is the least rational number of the greatest rational number if $\displaystyle \frac{1}{2},\frac{2}{5},\frac{1}{3}$ and $\displaystyle \frac{5}{9}$ are arranged in ascending order ?

Question 4 :
If the quotient is terminating decimal, the division is complete only when ...............

Question 6 :
If $\displaystyle d=\frac { 1 }{ { 2 }^{ 3 }\times { 5 }^{ 7 } } $ is expressed as a terminating decimal, <span>how many non zero digits will d have?<br/></span>

Question 7 :
State the following statement is True or False<br>$\dfrac{7}{9}$ has a value of non terminating decimal number

Question 11 :
What is the 25th digit to the right of the decimal point <span>in the decimal form of $\displaystyle \frac { 6 }{ 11 } $?</span>

Question 13 :
The decimal representation of $\dfrac { 93 }{ 1500 }$ will be

Question 14 :
<span>Find whether it is a terminating or a non-terminating decimal.</span><div>$1.2 \div 0.16$.</div>

Question 15 :
<span>Find whether it is a terminating or a non-terminating decimal.</span><div>$2.4 \div 0.072$.</div>

Question 17 :
<span>Find, whether each of the followings is a terminating or a non-terminating decimal.</span><div>$7 \div 11$.</div>

Question 19 :
<p><span>Find the odd one out of the following and give reason.</span><br></p>

Question 22 :
Given that $\dfrac {1}{7} = 0.\overline {142857}$, which is a repeating decimal having six different digits. If $x$ is the sum of such first three positive integers $n$ such that $\dfrac {1}{n} = 0.\overline {abcdef}$, where $a, b, c, d, e$ and $f$ are different digits, then the value of $x$ is

Question 23 :
Which of the following statements are true or false?<br>The rational numbers $\dfrac {1}{3}$ and $\dfrac {-5}{2}$ are on opposite sides of $0$ on the number line.

Question 24 :
<p><span>State whether the statements given are True or False</span></p>The rational number $\dfrac{-3}{4}$ lies to the right of zero on the number line.

Question 25 :
A rational number in its decimal expansion is $327.7081.$ What can you say about the prime factors of $q$, when this number is expressed in the form $\cfrac {p}{q}$?<br/>

Question 27 :
<span>The rational numbers $\dfrac{-5}{-7}$<br>and $\dfrac{7}{-9}$ lie on opposite sides of zero on the number line.</span>

Question 28 :
<div><br/></div><div>$\dfrac {17}{8}$ can be expressed as $.....$. <span>It is a $........$ decimal.</span></div>

Question 29 :
Which of the following options is correct?<br/>(1) Every integer and fraction is a rational number.<br/>(2) A rational number $\dfrac{p}{q}$ is positive if p and q are either both positive or both negative.<div><br/>(3) A rational number $\dfrac{p}{q}$ is negative if one of p and q is positive and other is negative.<br/>(4) If there are two rational numbers with same denominator, then the one with the larger numerator is larger numerator is larger than the other.</div>

Question 30 :
While representing $\dfrac23$ on a number line, between which $2$ integers does the point lie?

Question 33 :
If $x =\dfrac{p}{q}$ be a rational number such that the prime factorization of $q$ is not of the form $2^n 5^m$, where $n, m$ are non-negative integers. Then $x$ has a decimal expansion which is terminating.

Question 34 :
A real number $\displaystyle \frac{2^2 \times 3^2 \times 7^2}{2^5 \times 5^3 \times 3^2 \times 7}$ will have _________.

Question 35 :
If $x= 3+ 2\sqrt{2}$, then find whether $x+\dfrac{1}{x}$ is rational or irrational.