Question

5.010010001......is the decimal expansion of what type of real numbers ​

Answer 1

Answer:

Non terminating non repeating irrational number

Answer 2

Non terminating non recurring decimal.

Step-by-step explanation:

A real number whose whole number part and fractional part is separated by decimal point is called decimal number.

There are two types of decimal number :

(i) Terminating : If the digits after decimal are finite.

eg : 1.25, 1.75, 1.2, etc..

(ii) Non terminating : If the digits after decimal are infinite.

eg : 0.33333......, 0.4142135623...., etc..

Non terminating decimal are further divided into two parts,

(a) Recurring decimal : If the digits after decimal repeated in regular interval.

eg : 0.3333..., 0.4545454... etc..

(b) non recurring decimal : If the non terminating decimal is not recurring

eg : 0.4142135623....

Here, the given number,

5.010010001.....

By the above explanation,

It is clear that it is non terminating non recurring decimal.

#Learn more:

Real number and its types :

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