Is3/4anirrationalnumber? Choices: (A)yes (B)no

Define fraction 3/4: Step 1: Define the number 3/4. 3/4 is a fraction where the numerator is 3 and the denominator is 4. Determine decimal type: Step 2: Determine if 3/4 is a terminating or repeating decimal. When we divide 3 by 4, we get 0.75, which is a terminating decimal. Analyze terminating decimals: Step 3: Analyze the nature of terminating decimals. A terminating decimal can be expressed as a fraction with a denominator that is a power of 10. Since 0.75 can be written as 75/100, which simplifies to 3/4, it is a rational number.

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Is $\frac{3}{4}$ an irrational 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{3}{4}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define fraction $\frac{3}{4}$ : Step $1$ : Define the number $\frac{3}{4}$ . $\frac{3}{4}$ is a fraction where the numerator is $3$ and the denominator is $4$ .
Determine decimal type: Step $2$ : Determine if $\frac{3}{4}$ is a terminating or repeating decimal. $\newline$ When we divide $3$ by $4$ , we get $0.75$ , which is a terminating decimal.
Analyze terminating decimals: Step $3$ : Analyze the nature of terminating decimals. A terminating decimal can be expressed as a fraction with a denominator that is a power of $10$ . Since $0.75$ can be written as $\frac{75}{100}$ , which simplifies to $\frac{3}{4}$ , it is a rational number.