Question

question 5

to which number sets does \\(-7\\) belong? select all that apply.

integers

real numbers

whole numbers

rational numbers

irrational numbers

natural numbers

Explanation:

Analyze the properties of the given number

The given number is \(-7\).

Evaluate each number set classification

• Integers: \(-7\) is a whole number with a negative sign, so it is an integer.
• Real numbers: All rational and irrational numbers are real numbers. Since \(-7\) is rational, it is a real number.
• Whole numbers: Whole numbers include \(0, 1, 2, 3, \dots\) and do not include negative values. Thus, \(-7\) is not a whole number.
• Rational numbers: \(-7\) can be written as the fraction \(\frac{-7}{1}\), so it is a rational number.
• Irrational numbers: Since \(-7\) is rational, it cannot be irrational.
• Natural numbers: Natural numbers are positive counting numbers (\(1, 2, 3, \dots\)), so \(-7\) is not a natural number.

Identify the correct sets

The sets that apply to \(-7\) are Integers, Real numbers, and Rational numbers.

Answer:

• Integers (Correct answer)
• Real numbers (Correct answer)
• Whole numbers
• Rational numbers (Correct answer)
• Irrational numbers
• Natural numbers