Is the following number rational or irrational? 0.5555 Choose 1 answer: (A) Rational (B) Irrational

Evaluate decimal 0.5555: Evaluate the decimal 0.5555 to determine if it can be expressed as a fraction of two integers, which is the definition of a rational number. 0.5555 is a repeating decimal, where the digit 5 repeats indefinitely. This repeating decimal can be expressed as a fraction, where the numerator is the repeating digit(s) and the denominator is the same number of 9s as there are repeating digits. In this case, 0.5555 can be written as 5555/9999.Expressing repeating decimal as a fraction: Simplify the fraction 5555/9999 if possible to check for any common factors. Both the numerator and the denominator are divisible by 5. Dividing both by 5 gives us 1111/1999. This is the simplified form of the fraction, indicating that 0.5555 can indeed be expressed as a fraction of two integers.Simplifying the fraction: Conclude whether 0.5555 is rational or irrational based on the previous steps. Since 0.5555 can be expressed as the fraction 1111/1999, it meets the definition of a rational number. Therefore, 0.5555 is a rational number.

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Is the following number rational or irrational?

0.5555
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $0.5555$ $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational

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Algebra 2

Classify rational and irrational numbers

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Q. Is the following number rational or irrational?

\newline

0.5555

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Evaluate decimal $0.5555$ : Evaluate the decimal $0.5555$ to determine if it can be expressed as a fraction of two integers, which is the definition of a rational number. $\newline$ $0.5555$ is a repeating decimal, where the digit $5$ repeats indefinitely. $\newline$ This repeating decimal can be expressed as a fraction, where the numerator is the repeating digit(s) and the denominator is the same number of $9$ s as there are repeating digits. $\newline$ In this case, $0.5555$ can be written as $\frac{5555}{9999}$ .
Expressing repeating decimal as a fraction: Simplify the fraction $\frac{5555}{9999}$ if possible to check for any common factors. $\newline$ Both the numerator and the denominator are divisible by $5$ . $\newline$ Dividing both by $5$ gives us $\frac{1111}{1999}$ . $\newline$ This is the simplified form of the fraction, indicating that $0.5555$ can indeed be expressed as a fraction of two integers.
Simplifying the fraction: Conclude whether $0.5555$ is rational or irrational based on the previous steps. $\newline$ Since $0.5555$ can be expressed as the fraction $\frac{1111}{1999}$ , it meets the definition of a rational number. $\newline$ Therefore, $0.5555$ is a rational number.