Question
Which statement is true about the relationships between the number sets?(1 point)
Responses
Whole numbers include all positive and negative integers.
Whole numbers include all positive and negative integers.
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.
All integers are also rational numbers.
Responses
Whole numbers include all positive and negative integers.
Whole numbers include all positive and negative integers.
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.
All integers are also rational numbers.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The true statement about the relationships between the number sets is:
**All integers are also rational numbers.**
Here's a quick breakdown of the other statements:
- **Whole numbers include all positive and negative integers.** (False: Whole numbers include all non-negative integers (0, 1, 2, ...), but not negative integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are real numbers.)
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers as integers are whole numbers without decimal or fractional parts, and irrational numbers cannot be expressed as a fraction.)
So the only correct statement is that all integers are rational numbers.
**All integers are also rational numbers.**
Here's a quick breakdown of the other statements:
- **Whole numbers include all positive and negative integers.** (False: Whole numbers include all non-negative integers (0, 1, 2, ...), but not negative integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are real numbers.)
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers as integers are whole numbers without decimal or fractional parts, and irrational numbers cannot be expressed as a fraction.)
So the only correct statement is that all integers are rational numbers.
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