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Classify the number below.  Select all that apply.*1 pointReal NumberIrrationalRationalIntegerWholeNatural

Question

Classify the number below.

Select all that apply.
1 point

  • Real Number
  • Irrational
  • Rational
  • Integer
  • Whole
  • Natural
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Solution

To classify the number, we need to understand the definitions of each category:

  1. Real Number: Any number that can be found on the number line. This includes both rational and irrational numbers.
  2. Irrational: A number that cannot be expressed as a fraction of two integers. Its decimal form is non-repeating and non-terminating.
  3. Rational: A number that can be expressed as a fraction of two integers. Its decimal form either terminates or repeats.
  4. Integer: A whole number that can be positive, negative, or zero, but not a fraction.
  5. Whole: A non-negative integer (0, 1, 2, 3, ...).
  6. Natural: A positive integer (1, 2, 3, ...).

Since the specific number to classify is not provided in the question, let's consider a few examples:

Example 1: The number 5

  • Real Number: Yes, 5 is a real number.
  • Irrational: No, 5 is not irrational because it can be expressed as 5/1.
  • Rational: Yes, 5 is rational because it can be expressed as a fraction (5/1).
  • Integer: Yes, 5 is an integer.
  • Whole: Yes, 5 is a whole number.
  • Natural: Yes, 5 is a natural number.

Example 2: The number -3

  • Real Number: Yes, -3 is a real number.
  • Irrational: No, -3 is not irrational because it can be expressed as -3/1.
  • Rational: Yes, -3 is rational because it can be expressed as a fraction (-3/1).
  • Integer: Yes, -3 is an integer.
  • Whole: No, -3 is not a whole number because whole numbers are non-negative.
  • Natural: No, -3 is not a natural number because natural numbers are positive.

Example 3: The number √2

  • Real Number: Yes, √2 is a real number.
  • Irrational: Yes, √2 is irrational because it cannot be expressed as a fraction of two integers.
  • Rational: No, √2 is not rational.
  • Integer: No, √2 is not an integer.
  • Whole: No, √2 is not a whole number.
  • Natural: No, √2 is not a natural number.

To classify a specific number, you would follow these steps and apply the definitions accordingly.

This problem has been solved

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