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

hintHint:

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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