Which statement is true about the relationships between the number sets?(1 point)

Responses

Not all natural numbers are real numbers.
Not all natural numbers are real numbers.

Some irrational numbers are also integers.
Some irrational numbers are also integers.

Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.

All rational numbers are also integers.

1 answer

The true statement about the relationships between the number sets is:

Whole numbers include all natural numbers and 0.

Here's a brief explanation for each option:

  1. Not all natural numbers are real numbers. - This is false, as all natural numbers are indeed real numbers.

  2. Some irrational numbers are also integers. - This is false because irrational numbers cannot be integers.

  3. Whole numbers include all natural numbers and 0. - This is true, as whole numbers consist of natural numbers (1, 2, 3, ...) along with 0.

  4. All rational numbers are also integers. - This is false, as rational numbers can be fractions (like 1/2), which are not integers.

Therefore, the correct answer is the third statement.