what is meaning of terminating or non-terminating decimal?give one example please give correct answer
Answers
Answer:
the terminating decimal is that which have ending after decimal
i.e 9/10=0.9
and the non-terminating decimal is that which don't have a end.
it has two types non-terminating repeating decimal in this a n.of digits repeats as same
for e.g-0.98888....
and another type is 8.38929292....
it is represented as 0.98 bar and 0.3892 bar
Answer:
Rational Numbers in Decimal Fractions:
Rational numbers can be expressed in the form of decimal fractions. These rational numbers when converted into decimal fractions can be both terminating and non-terminating decimals.
Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point.
Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.
Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever). They don’t come to end or if they do it is after a long interval.
For example:
π = (3.141592653589793238462643383279502884197169399375105820974.....) is an example of non terminating decimal as it keeps on continuing after decimal point.
If a rational number (≠ integer) can be expressed in the form p2n×5m, where p ∈ Z, n ∈ W and m ∈ W, the rational number will be a terminating decimal. Otherwise, the rational number will be a nonterminating, recurring decimal.