Is–13/5anirrationalnumber? Choices: (A)yes (B)no

Understand the number -13/5: Step 1: Understand the nature of the number -13/5. -13/5 is a fraction formed by two integers, where -13 is the numerator and 5 is the denominator. This fraction represents a rational number because it can be expressed as a ratio of two integers.Check decimal form: Step 2: Check if the decimal form of -13/5 is terminating or repeating. Divide -13 by 5 to get the decimal form. -13 ÷ 5 = -2.6 The decimal -2.6 is a terminating decimal.Determine irrationality: Step 3: Determine if -13/5 is an irrational number. Since -13/5 is a rational number (as it can be expressed as a simple fraction and has a terminating decimal), it is not an irrational number.

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Is $-\frac{13}{5}$ 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{13}{5}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the number $-\frac{13}{5}$ : Step $1$ : Understand the nature of the number $-\frac{13}{5}$ . $-\frac{13}{5}$ is a fraction formed by two integers, where $-13$ is the numerator and $5$ is the denominator. This fraction represents a rational number because it can be expressed as a ratio of two integers.
Check decimal form: Step $2$ : Check if the decimal form of $-\frac{13}{5}$ is terminating or repeating. $\newline$ Divide $-13$ by $5$ to get the decimal form. $\newline$ $-13 \div 5 = -2.6$ $\newline$ The decimal $-2.6$ is a terminating decimal.
Determine irrationality: Step $3$ : Determine if $-\frac{13}{5}$ is an irrational number. $\newline$ Since $-\frac{13}{5}$ is a rational number (as it can be expressed as a simple fraction and has a terminating decimal), it is not an irrational number.