Is7/4arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 7/4. 7/4 is a fraction where 7 is the numerator and 4 is the denominator. Both are integers.Check decimal form: Step 2: Check if 7/4 can be expressed as a terminating or repeating decimal. Divide 7 by 4 to get 1.75, which is a terminating decimal.Determine rationality: Step 3: Determine if a terminating decimal is rational. A number is rational if it can be expressed as a fraction of two integers (which 7/4 already is) and if its decimal representation terminates or repeats. Since 1.75 terminates, 7/4 is rational.

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Is $\frac{7}{4}$ 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}{4}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $7/4$ . $7/4$ is a fraction where $7$ is the numerator and $4$ is the denominator. Both are integers.
Check decimal form: Step $2$ : Check if $\frac{7}{4}$ can be expressed as a terminating or repeating decimal. $\newline$ Divide $7$ by $4$ to get $1.75$ , which is a terminating decimal.
Determine rationality: Step $3$ : Determine if a terminating decimal is rational. $\newline$ A number is rational if it can be expressed as a fraction of two integers (which $\frac{7}{4}$ already is) and if its decimal representation terminates or repeats. Since $1.75$ terminates, $\frac{7}{4}$ is rational.