After the decimal point of infinite decimal is introduced, a period of numbers that starts from a certain bit to the right and ends at a certain bit appears circularly, which is called cyclic decimal. This part of the number is called cyclic decimal.
13 ÷ 99 = 0.1313 …, this quotient is a cyclic decimal, and its cyclic segment is13. In the second method, the cyclic part of the cyclic decimal can be determined by looking at the remainder, such as 1 1.
The key to judge whether a decimal is a cyclic decimal is to judge whether the decimal is infinite first, and then to judge whether the decimal part of the decimal has repeated numbers. However, how to correctly judge the number of repetitions in the decimal part can be judged according to the following points.
Method 1: Determine according to the meaning of cyclic decimal. That is, according to "an infinite decimal, if its decimal part starts somewhere and is repeated by one or several numbers in turn, such a decimal is called a cyclic decimal." This meaning is used to determine the cyclic part of the cyclic decimal.
Method 2: By looking at the remainder, you can determine the cyclic part of the cyclic decimal. For example:11÷ 9 =1... 2. Through vertical calculation, it can be seen that if the remainder "2" appears repeatedly, the quotient will also appear repeatedly, so the cycle node is the quotient "2" obtained when the remainder "2" first appears.
The above is some information about the periodic festival, I hope it will help you.