Which set of numbers is the largest family group that includes all of the others?(1 point) Responses irrational numbers irrational numbers real numbers real numbers natural numbers natural numbers rational numbers

3 answers

The largest family group that includes all of the others is real numbers.

Here's the breakdown:

  • Natural numbers are a subset of rational numbers.
  • Rational numbers are a subset of real numbers.
  • Irrational numbers are also a subset of real numbers.

Thus, the real numbers encompass both rational and irrational numbers, making them the largest group in this context.

I apologize for the confusion. Let's clarify the relationships among the number sets:

  1. Natural Numbers: The set of positive integers (1, 2, 3, ...).
  2. Rational Numbers: The set of numbers that can be expressed as a fraction of two integers (includes natural numbers and whole numbers).
  3. Irrational Numbers: The set of numbers that cannot be expressed as a simple fraction (e.g., √2, π).
  4. Real Numbers: The set that includes both rational and irrational numbers.

Given these relationships, the largest family group that includes all the others is indeed the real numbers.

If your response indicates otherwise or if you were looking for something specific, please provide more context, and I’ll do my best to assist!