Rational Number and Its Representation on Number Line
Rational Number and Its Representation on Number Line: Overview
This topic covers concepts, such as, Rational Numbers, Rational Number System, Equivalent Rational Numbers & Representation of Rational Numbers on a Number Line etc.
Important Questions on Rational Number and Its Representation on Number Line
Two rational numbers with different numerators are equal if their numerators are in the same _____ to their denominators.

Write down the denominator of:

Write in its rational form .

Write down the numerator of:

Find the equivalent rational number of , whose denominator is .

Represent on the number line:

Every integer is a rational number

Express as a rational number with denominator .

Express in standard form.

Any number which is in the form $ \surd x$ is not always a rational number.

Which of the following rational numbers have terminating decimal representations.
a. - $ \frac{1}{4}$
b. $ \frac{2}{8\text{x}25}$
c. $ \frac{3\text{x}3\text{x}120}{27\text{x}9}$
d. $ \frac{3\text{x}3\text{x}120}{11\text{x}13}$

A rational number $ \frac{p}{q}$ can be expressed as a terminating decimal. Which of the following can be the denominator of the rational number?

Which among the following numbers gives rational number as a result with a terminating decimal?

Let y = $ \frac{36}{k+2}$. The total number of positive values of k, which will give the solution y as a whole number is _____.

For a rational number to be a terminating decimal, the prime factors of the denominator must be 2 and _____ .

Pick the option/ s which define the correct expressions of a set of rational numbers.

Which of the following statements is False?

Which of the following statements is TRUE?

Under which condition /s will $ \sqrt{x}$ be a rational number always?
i. When the value of $x$ is a perfect square.
ii. When the value of $x$ is not a perfect square.

Given, x = $ \frac{2}{\text{p}-\text{q}}$ where p and q are positive integers.
Under which of the following condition(s) will x be a rational number?
i) p > q ii) p < q iii) p = q
