Rational Number and Its Representation on Number Line

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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

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Two rational numbers with different numerators are equal if their numerators are in the same _____ to their denominators.

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Write down the denominator of: -45

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Write -7.3 in its rational form ab.

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Find the equivalent rational number of -1317, whose denominator is 289.

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Represent on the number line: -52

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Every integer is a rational number

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Express 47 as a rational number with denominator -35.

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Express -77-99 in standard form.

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

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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}$

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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?

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

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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 _____.

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

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

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Which of the following statements is False?

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Which of the following statements is TRUE?

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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.

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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