Question
The Number System Unit Test Which statement is true about the relationships between the number sets? (1 poin Whole numbers include all natural numbers and 0. Some irrational numbers are also integers Not all natural numbers are real numbers. All rational numbers are also integers.
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GPT-4o mini
The true statement about the relationships between the number sets is:
**Whole numbers include all natural numbers and 0.**
Here's a quick breakdown of why the other statements are false:
1. **Some irrational numbers are also integers:** This is false because irrational numbers cannot be expressed as fractions, while integers are whole numbers (positive, negative, or zero).
2. **Not all natural numbers are real numbers:** This is false because all natural numbers (1, 2, 3, ...) are included in the set of real numbers.
3. **All rational numbers are also integers:** This is false because rational numbers include fractions (like 1/2), while integers are whole numbers without fractions.
So, the correct answer is the first statement.
**Whole numbers include all natural numbers and 0.**
Here's a quick breakdown of why the other statements are false:
1. **Some irrational numbers are also integers:** This is false because irrational numbers cannot be expressed as fractions, while integers are whole numbers (positive, negative, or zero).
2. **Not all natural numbers are real numbers:** This is false because all natural numbers (1, 2, 3, ...) are included in the set of real numbers.
3. **All rational numbers are also integers:** This is false because rational numbers include fractions (like 1/2), while integers are whole numbers without fractions.
So, the correct answer is the first statement.
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