To determine which of the given options is not a terminating decimal, we first need to understand what makes a decimal terminating or non-terminating. A decimal is considered terminating if it has a finite number of digits after the decimal point. If the digits repeat infinitely, the decimal is non-terminating.
Let’s evaluate each option:
A) 4.4\
This decimal has only one digit after the decimal point. Therefore, it is a terminating decimal.
B) 4.44\
This decimal has two digits after the decimal point. Therefore, it is a terminating decimal.
C) 4.0444\
This decimal has four digits after the decimal point. Therefore, it is a terminating decimal.
D) [tex]\(44 . \overline{4}\)[/tex]\
In this notation, the bar over the number 4 indicates that the 4 repeats infinitely, making the decimal representation [tex]\(44.4444\ldots\)[/tex].
This means it never terminates and thus is a non-terminating decimal.
Therefore, the option that is not a terminating decimal is:
D) [tex]\(44 . \overline{4}\)[/tex]
