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Is −135-\frac{13}{5} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is −135-\frac{13}{5} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand the number −135-\frac{13}{5}: Step 11: Understand the nature of the number −135-\frac{13}{5}.−135-\frac{13}{5} is a fraction formed by two integers, where −13-13 is the numerator and 55 is the denominator. This fraction represents a rational number because it can be expressed as a ratio of two integers.
  2. Check decimal form: Step 22: Check if the decimal form of −135-\frac{13}{5} is terminating or repeating.\newlineDivide −13-13 by 55 to get the decimal form.\newline−13÷5=−2.6-13 \div 5 = -2.6\newlineThe decimal −2.6-2.6 is a terminating decimal.
  3. Determine irrationality: Step 33: Determine if −135-\frac{13}{5} is an irrational number.\newlineSince −135-\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.

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