Is10/3anirrationalnumber? Choices: (A)yes (B)no

Understand 10/3: Step 1: Understand the nature of 10/3. 10 divided by 3 equals approximately 3.333..., which is a non-terminating, repeating decimal.Define irrational numbers: Step 2: Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction and do not have a repeating or terminating decimal pattern.Compare to definition: Step 3: Compare 10/3 to the definition of irrational numbers. Since 10/3 is a repeating decimal (3.333...), it can be expressed as a fraction (10/3 itself).Conclusion: Step 4: Conclusion based on comparison. Because 10/3 can be expressed as a fraction and has a repeating decimal, it is not an irrational number.

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Is $\frac{10}{3}$ 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{10}{3}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand $\frac{10}{3}$ : Step $1$ : Understand the nature of $\frac{10}{3}$ . $\newline$ $10$ divided by $3$ equals approximately $3.333...$ , which is a non-terminating, repeating decimal.
Define irrational numbers: Step $2$ : Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction and do not have a repeating or terminating decimal pattern.
Compare to definition: Step $3$ : Compare $\frac{10}{3}$ to the definition of irrational numbers. $\newline$ Since $\frac{10}{3}$ is a repeating decimal ( $3.333\ldots$ ), it can be expressed as a fraction ( $\frac{10}{3}$ itself).
Conclusion: Step $4$ : Conclusion based on comparison. $\newline$ Because $\frac{10}{3}$ can be expressed as a fraction and has a repeating decimal, it is not an irrational number.