Is9anirrationalnumber? Choices: (A)yes (B)no

Definition of Irrational Number: Understand the definition of an irrational number. An irrational number is a number that cannot be expressed as a fraction of two integers, where the denominator is not zero. It has a non-terminating and non-repeating decimal expansion.Determine Fraction of 9: Determine if 9 can be expressed as a fraction of two integers. The number 9 can be expressed as the fraction 9/1, where both 9 and 1 are integers, and the denominator is not zero.Check Decimal Expansion: Check if the decimal expansion of 9 is non-terminating and non-repeating. The number 9 has a simple decimal representation, which is 9.0 or just 9. This is a terminating decimal, which means it does not continue indefinitely.Conclude 9 is Irrational: Conclude whether 9 is an irrational number based on the previous steps. Since 9 can be expressed as a fraction of two integers and has a terminating decimal expansion, it is not an irrational number. Therefore, the correct answer is (B) no.

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Is $9$ 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

9

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Definition of Irrational Number: Understand the definition of an irrational number. An irrational number is a number that cannot be expressed as a fraction of two integers, where the denominator is not zero. It has a non-terminating and non-repeating decimal expansion.
Determine Fraction of $9$ : Determine if $9$ can be expressed as a fraction of two integers. $\newline$ The number $9$ can be expressed as the fraction $\frac{9}{1}$ , where both $9$ and $1$ are integers, and the denominator is not zero.
Check Decimal Expansion: Check if the decimal expansion of $9$ is non-terminating and non-repeating. $\newline$ The number $9$ has a simple decimal representation, which is $9.0$ or just $9$ . This is a terminating decimal, which means it does not continue indefinitely.
Conclude $9$ is Irrational: Conclude whether $9$ is an irrational number based on the previous steps. $\newline$ Since $9$ can be expressed as a fraction of two integers and has a terminating decimal expansion, it is not an irrational number. Therefore, the correct answer is (B) no.