Is–11/2anirrationalnumber? Choices: (A)yes (B)no

Understand the number -11/2: Step 1: Understand the number -11/2. -11/2 is a fraction, which can be expressed as a decimal. Calculation: -11 ÷ 2 = -5.5.Determine if -5.5: Step 2: Determine if -5.5 is a terminating decimal. -5.5 ends after one decimal place, indicating it is a terminating decimal.Define irrational numbers: Step 3: Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-terminating, non-repeating decimal expansions.Compare -5.5: Step 4: Compare -5.5 to the definition of irrational numbers. Since -5.5 is a terminating decimal, it can be expressed as a fraction (-11/2).

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Is $-\frac{11}{2}$ 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{11}{2}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the number $-\frac{11}{2}$ : Step $1$ : Understand the number $-\frac{11}{2}$ . $-\frac{11}{2}$ is a fraction, which can be expressed as a decimal. Calculation: $-11 \div 2 = -5.5$ .
Determine if $-5.5$ : Step $2$ : Determine if $-5.5$ is a terminating decimal. $-5.5$ ends after one decimal place, indicating it is a terminating decimal.
Define irrational numbers: Step $3$ : Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-terminating, non-repeating decimal expansions.
Compare $-5.5$ : Step $4$ : Compare $-5.5$ to the definition of irrational numbers. $\newline$ Since $-5.5$ is a terminating decimal, it can be expressed as a fraction $-\frac{11}{2}$ .