Question

Determine if 0.669429565254154…0.669429565254154… is rational or irrational and give a reason for your answer.

1. The given number 0.669429565254154… is a terminating decimal so it will be a rational number.

### What is an irrational number?

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Given the number
0.669429565254154…
The number after the decimal place is not repeating so it will end somewhere which means it can be written in form of p/q.
So the number will be rational.
Hence “The given number 0.669429565254154… is a terminating decimal so it will be a rational number“.
For more about the irrational number,
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