Terminating Decimal
A terminating decimal is referred to as a number that has a finite number of digits after the decimal point. For example, 0.125, 58.568, 135.05, 213.12345, etc. are examples of terminating decimals. After the decimal point, the digits can continue to repeat, but there must be an end. A terminating decimal can be written in p/q form, where p and q are integers and q is not equal to zero. For example, 0.125 can be expressed as 1/8 in p/q form.
Terminating and Non-Terminating Decimals
A terminating decimal is a decimal that has an end digit. While non terminating decimal is a decimal that doesn’t have an end term. In mathematics, we have various types of numbers, like natural numbers, whole numbers, integers, rational and irrational numbers, etc. A decimal number is one of them and is used to represent a whole number and a fraction together. In algebra, decimal numbers are a set of numbers that lie between integers on a number line.
A decimal number consists of a whole number part and a fractional part, which are separated by a point called a decimal point. A decimal number is classified into different types depending on the type of digits that come after the decimal point. Terminating decimals and non-terminating decimals are the two types of decimals, where a non-terminating decimal is further classified into non-terminating recurring decimals and non-terminating non-recurring decimals.