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Which of the following describe −7 -7 ? Select all that apply.\newlineMulti-select Choices:\newline(A) real number\newline(B) integer\newline(C) rational number\newline(D) irrational number

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Q. Which of the following describe −7 -7 ? Select all that apply.\newlineMulti-select Choices:\newline(A) real number\newline(B) integer\newline(C) rational number\newline(D) irrational number
  1. Real Number: Determine if −7-7 is a real number.\newlineA real number is any number that can be found on the number line, including both positive and negative numbers, as well as zero. Since −7-7 can be located on the number line, it is a real number.
  2. Integer: Determine if −7-7 is an integer.\newlineAn integer is any whole number, including negative whole numbers, zero, and positive whole numbers. Since −7-7 is a whole number and it is negative, it is an integer.
  3. Rational Number: Determine if −7-7 is a rational number.\newlineA rational number is any number that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where q≠0q \neq 0. Since −7-7 can be expressed as −71\frac{-7}{1}, where −7-7 and 11 are both integers and 1≠01 \neq 0, −7-7 is a rational number.
  4. Irrational Number: Determine if −7-7 is an irrational number.\newlineAn irrational number is a number that cannot be expressed as a simple fraction, meaning it's a number that cannot be written as a ratio of two integers. Irrational numbers have non-terminating and non-repeating decimal expansions. Since −7-7 can be expressed as a ratio of two integers (as shown in Step 33), it is not an irrational number.

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