Math, asked by supriyadash0692, 8 months ago

what is the meaning of ternimal and non ternimal decimal ​

Answers

Answered by anikakulshrestha
0

Answer:

Step-by-step explanation:

As proven a few millennia ago (by some Greek mathematician whose name I cannot recall at the moment), that the ratio between two natural numbers {1,2,3,4,5,6,7,…} always has a repeating sequence of digits, when its value is expressed as a decimal number (or as a number another integer base).

If the repeating sequence of digits is all zeroes, it is called “terminating”.

Note that a number is considered “rational” if and only if its value is exactly equal to the ratio between two whole numbers (“integers”); otherwise (if it cannot be equal to the ratio between two integers) it is called “irrational”. Examples of “irrational” numbers (which have no repeating sequences — neither terminal nor nonterminal!) include the square root of of numbers that are not “perfect squares (such as 2 or 3 or 5 or 6), as well as PI and e (the base of natural logarithms), as well as an uncountable number of nonterminating decimal values (such as those representing the (denser infinitude of) points on a line (or, perhaps, the even-denser number of geometric curves!)

However, a repeating sequence of digits that is composed entirely of zeroes is called a “terminating” sequence — because it adds nothing to the value when the infinite series of zeroes is ignored.

Answered by Anonymous
0

Terminating decimals are those numbers which come to an end after few repetitions after decimal point.

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

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