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Original Question
Which statement is true about the relationships between the number sets?(1 point) Responses Whole numbers include all natural n...
Which statement is true about the relationships between the number sets?(1 point)
Responses
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
All rational numbers are also integers.
Responses
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
All rational numbers are also integers.
Answers
Answer
choose one
Answered by
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 breakdown of why the others are false:
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers because integers are whole numbers that can be positive, negative, or zero, while irrational numbers cannot be expressed as a fraction of two integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are indeed real numbers.)
- **All rational numbers are also integers.** (False: Rational numbers include fractions, and not all rational numbers are whole numbers or integers. For example, 1/2 is a rational number but not an integer.)
So, the first statement is the only true one.
**Whole numbers include all natural numbers and 0.**
Here's a breakdown of why the others are false:
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers because integers are whole numbers that can be positive, negative, or zero, while irrational numbers cannot be expressed as a fraction of two integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are indeed real numbers.)
- **All rational numbers are also integers.** (False: Rational numbers include fractions, and not all rational numbers are whole numbers or integers. For example, 1/2 is a rational number but not an integer.)
So, the first statement is the only true one.
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