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Which of the following describe −123-\frac{12}{3}? Select all that apply.\newlineMulti-select Choices:\newline(A) irrational number\newline(B) rational number\newline(C) real number\newline(D) integer

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Q. Which of the following describe −123-\frac{12}{3}? Select all that apply.\newlineMulti-select Choices:\newline(A) irrational number\newline(B) rational number\newline(C) real number\newline(D) integer
  1. Calculate division result: Calculate the value of −12/3-12/3. To find out what kind of number −12/3-12/3 is, we first need to perform the division. −12-12 divided by 33 equals −4-4.
  2. Check for irrational number: Determine if −4-4 is an irrational number.\newlineAn irrational number is a number that cannot be expressed as a simple fraction (ratio of two integers). −4-4 can be expressed as −41-\frac{4}{1}, which is a simple fraction.\newlineTherefore, −4-4 is not an irrational number.
  3. Check for rational number: Determine if −4-4 is a rational number.\newlineA rational number is a number that can be expressed as a fraction where both the numerator and the denominator are integers. Since −4-4 can be expressed as −4/1-4/1, it is a rational number.
  4. Check for real number: Determine if –4–4 is a real number.\newlineAll rational numbers are real numbers. Since –4–4 is a rational number, it is also a real number.
  5. Check for integer: Determine if −4-4 is an integer.\newlineAn integer is a whole number that can be positive, negative, or zero. Since −4-4 is a whole number and negative, it is an integer.

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