Question

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.

Answer 1

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 2

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.