Is2.555...arationalnumber? Choices: (A)yes (B)no

Understand Number 2.555: Step 1: Understand the nature of the number 2.555... 2.555... implies that the number 2.555 continues indefinitely without repeating a specific pattern. Define Irrational Numbers: Step 2: Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction of two integers and have non-terminating, non-repeating decimal expansions. Compare to Definition: Step 3: Compare 2.555... to the definition of irrational numbers. Since 2.555... does not terminate or repeat, it fits the definition of an irrational number.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $2.555\ldots$ a rational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Full solution

Q. Is

2.555\ldots

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand Number $2.555$ : Step $1$ : Understand the nature of the number $2.555$ ... $2.555$ implies that the number $2.555$ continues indefinitely without repeating a specific pattern.
Define Irrational Numbers: Step $2$ : Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction of two integers and have non-terminating, non-repeating decimal expansions.
Compare to Definition: Step $3$ : Compare $2.555\ldots$ to the definition of irrational numbers. $\newline$ Since $2.555\ldots$ does not terminate or repeat, it fits the definition of an irrational number.