Is9/5arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 9/5. 9/5 is a fraction where both numerator (9) and denominator (5) are integers. Check decimal expression: Step 2: Check if the fraction can be expressed as a terminating or repeating decimal. Since 5 is the only prime factor of the denominator, 9/5 can be expressed as a decimal which is 1.8, a terminating decimal. Define rational numbers: Step 3: Define rational numbers. A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Conclude rationality: Step 4: Conclude if 9/5 is rational based on its decimal expression. Since 9/5 is a terminating decimal and fits the definition of a rational number, it is rational.

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Is $\frac{9}{5}$ 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{9}{5}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $\frac{9}{5}$ . $\frac{9}{5}$ is a fraction where both numerator ( $9$ ) and denominator ( $5$ ) are integers.
Check decimal expression: Step $2$ : Check if the fraction can be expressed as a terminating or repeating decimal. $\newline$ Since $5$ is the only prime factor of the denominator, $\frac{9}{5}$ can be expressed as a decimal which is $1.8$ , a terminating decimal.
Define rational numbers: Step $3$ : Define rational numbers. $\newline$ A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
Conclude rationality: Step $4$ : Conclude if $\frac{9}{5}$ is rational based on its decimal expression. $\newline$ Since $\frac{9}{5}$ is a terminating decimal and fits the definition of a rational number, it is rational.