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Maths-

General

Easy

Question

Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal: $6 over 24$

hint Hint:

Hint:
Numbers with a fixed or finite number of digits following the decimal point are known as terminating decimals and numbers with infinite decimal places are known as non-terminating decimals. Non-terminating decimals can be classified into two types: 1) Non-terminating and non-repeating decimals. 2) Non-terminating and Repeating decimals. Non-terminating and Repeating decimals are those decimals that consist of digits repeating after a fixed interval after the decimal.

The correct answer is: It is a Terminating decimal

Let’s say x = $6 over 24$
The given rational number is not in its simplified form. So, let’s first covert it in the simplified form
$x equals 1 fourth$
Upon dividing 1 by 4 we got
$x equals 1 fourth equals 0.25$
The resultant decimal is a terminating decimal
Final Answer:
As the resultant decimal has a finite number of digits following the decimal. Hence, the decimal value of $6 over 24$ is 0.25 and it is a terminating decimal.

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