The decimal representation of a rational numb | vedclass

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Question

(D) rational number is defined as a number that can be expressed in the form $p/q$,where $p$ and $q$ are integers and $q 
eq 0$. The decimal expansio

Vedclass · Accepted Answer

Non-terminating,non-repeating

Vedclass · Answer

(D) rational number is defined as a number that can be expressed in the form $p/q$,where $p$ and $q$ are integers and $q 
eq 0$. The decimal expansion of a rational number is always either terminating or non-terminating repeating (recurring). $A$ non-terminating,non-repeating decimal expansion is a characteristic property of an irrational number. Therefore,the decimal representation of a rational number cannot be non-terminating,non-repeating.

The decimal representation of a rational number cannot be:

Similar Questions

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0.$
$0.\overline{125}$

Fill in the blanks to make the following statement true: $\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{6} = \dots$

Add $4 \sqrt{6}-8 \sqrt{10}$ and $3 \sqrt{6}+12 \sqrt{10}$.

If $x = 2 + \sqrt{3},$ then find the value of $x^{2} + \frac{1}{x^{2}}$ and $x^{3} + \frac{1}{x^{3}}.$

Subtract: $0.\overline{52} - 0.4\overline{6}$

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