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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: $24 over 11$

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: A non-terminating and repeating decimal.

Let’s say x = $24 over 11$
Upon dividing 24 by 11 we got
$x equals 24 over 11 equals 2.181818 horizontal ellipsis$
The resultant decimal is a non-terminating and repeating decimal.
Final Answer:
As the resultant decimal has an infinite number of digits following the decimal and these digits are repeated after a fixed interval. Hence, the decimal value of $24 over 11$ is $2.18 with bottom parenthesis below$ and it is a non-terminating and repeating decimal.

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