0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).
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Yes, but more than that, it is an integer.
The latter which would be an irrational number that cannot be expressed as a fraction.
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
Yes. In fact all integers, as normally expressed, are terminating decimals. However, it is mathematically correct (though possibly confusing) to write 2 = 1.9999.... an infinite (recurring) decimal.
Decimals can be "terminating" "recurring" or "other." A terminating decimal is one which is finite. Recurring and other decimals continue on forever. For instance 0.5 is a terminating decimal. 0.729 is a terminating decimal. 0.3333333... is not a terminating decimal. pi (3.1415926535....) is not a terminating decimal.