Is7/2arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 7/2. 7/2 is a fraction where 7 is the numerator and 2 is the denominator. Both are integers.Check decimal form: Step 2: Check if 7/2 can be expressed as a terminating or repeating decimal. Divide 7 by 2 to get 3.5, which is a terminating decimal.Determine rationality: Step 3: Determine if a number with a terminating decimal is rational. A number is rational if it can be expressed as a fraction of two integers (as 7/2 already is) and if its decimal representation terminates or repeats. Since 3.5 terminates, 7/2 is rational.

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Is $\frac{7}{2}$ 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{7}{2}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $7/2$ . $7/2$ is a fraction where $7$ is the numerator and $2$ is the denominator. Both are integers.
Check decimal form: Step $2$ : Check if $7/2$ can be expressed as a terminating or repeating decimal. $\newline$ Divide $7$ by $2$ to get $3.5$ , which is a terminating decimal.
Determine rationality: Step $3$ : Determine if a number with a terminating decimal is rational. $\newline$ A number is rational if it can be expressed as a fraction of two integers (as $\frac{7}{2}$ already is) and if its decimal representation terminates or repeats. Since $3.5$ terminates, $\frac{7}{2}$ is rational.