which set of numbers is the largest family group that includes all of the others?

Question

rational numbers
real numbers
natural number
irrational numbers

Answer 1

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

Here's how they relate to each other:

• Natural numbers (e.g., 1, 2, 3, ...) are a subset of rational numbers.
• Rational numbers (fractions, integers, etc.) are a subset of real numbers.
• Irrational numbers (numbers that cannot be expressed as a fraction, such as √2 or π) are also a subset of real numbers.

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