Explain The Decimal System in detail?

A decimal, such as 1.23, is made up of two parts: a whole number and a decimal fraction. In 1.23, the whole number is 1 and the decimal fraction is 0.23.

Some important types of decimals include terminating decimals and repeating decimals.

A terminating decimal is one whose decimal fraction stops. 0.5 is a terminating decimal.

A repeating decimal is one whose decimal fraction repeats. 0.57575757...is a repeating decimal (the ‘57' goes on forever).

You will see terminating and repeating decimals when you do long division. If your long-division problem has no remainder, you have a terminating decimal. If you have a repeating decimal, it will seem like the problem goes on forever, because you will keep getting the same remainder. We will see an example of this later in the chapter.