Is5/9arationalnumber? Choices: (A)yes (B)no

Define rational number: Step 1: Define a rational number. A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.Simplify 5/9: Step 2: Express 5/9 in its simplest form. 5/9 is already in its simplest form with 5 as the numerator and 9 as the denominator. Both are integers, and the denominator is not zero.Check decimal form: Step 3: Check if 5/9 is a terminating or repeating decimal. 5 divided by 9 equals approximately 0.555..., which is a repeating decimal.Conclude rationality: Step 4: Conclude if 5/9 is rational based on its decimal form. Since 5/9 is a repeating decimal, it confirms that it is a rational number because it can be expressed as a fraction.

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Is $\frac{5}{9}$ a rational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 8

Identify rational and irrational numbers

Full solution

Q. Is

\frac{5}{9}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define rational number: Step $1$ : Define a rational number. $\newline$ A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
Simplify $\frac{5}{9}$ : Step $2$ : Express $\frac{5}{9}$ in its simplest form. $\newline$ $\frac{5}{9}$ is already in its simplest form with $5$ as the numerator and $9$ as the denominator. Both are integers, and the denominator is not zero.
Check decimal form: Step $3$ : Check if $5/9$ is a terminating or repeating decimal. $\newline$ $5$ divided by $9$ equals approximately $0.555\ldots$ , which is a repeating decimal.
Conclude rationality: Step $4$ : Conclude if $\frac{5}{9}$ is rational based on its decimal form. $\newline$ Since $\frac{5}{9}$ is a repeating decimal, it confirms that it is a rational number because it can be expressed as a fraction.