Answered

4.5+3.14159265359 is




rational because it is a terminating decimal.


irrational because it is a repeating decimal.


irrational because it is a non-terminating and non-repeating decimal.


rational because it is a non-terminating and non-repeating decimal.

Verified Answer :

So this question you just add..... but this is irrational because it does not terminate meaning the decimal doesnt end home this helped have an amazing day!

Answer:  The correct option is

(C) irrational because it is a non-terminating and non-repeating decimal.

Step-by-step explanation:  We are to select the correct statement for the following number:

\(n=4.5+3.14159265359~.~.~.\)

Rational number:  a number is said to be rational if the digits after the decimal are either terminating or repeating.

Irrational number:  a number is said to be irrational if the digits after the decimal are non-terminating and non-repeating.

Given number is

\(n=4.5+3.14159265359~.~.~.=7.64159265359~.~.~.\)

Since the digits after the decimal and neither terminating nor repeating, so the given number is IRRATIONAL.

Thus, the number is irrational because it is a non-terminating and non-repeating decimal.

Option (C) is CORRECT.

Related Questions