Question
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.
Whole numbers include all positive and negative integers.
Whole numbers include all positive and negative integers.
All integers are also rational numbers.
All integers are also rational numbers.
Some irrational numbers are also integers.
Responses
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
Whole numbers include all positive and negative integers.
Whole numbers include all positive and negative integers.
All integers are also rational numbers.
All integers are also rational numbers.
Some irrational numbers are also integers.
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 brief explanation of the other statements:
1. **Not all natural numbers are real numbers.** - This statement is false; all natural numbers are indeed real numbers.
2. **Whole numbers include all positive and negative integers.** - This statement is false; whole numbers include non-negative integers (0 and positive integers), but not negative integers.
3. **Some irrational numbers are also integers.** - This statement is false; irrational numbers cannot be integers since integers are whole numbers (positive, negative, or zero) without any fractional or decimal part.
Therefore, the correct response is that all integers are rational numbers.
**All integers are also rational numbers.**
Here's a brief explanation of the other statements:
1. **Not all natural numbers are real numbers.** - This statement is false; all natural numbers are indeed real numbers.
2. **Whole numbers include all positive and negative integers.** - This statement is false; whole numbers include non-negative integers (0 and positive integers), but not negative integers.
3. **Some irrational numbers are also integers.** - This statement is false; irrational numbers cannot be integers since integers are whole numbers (positive, negative, or zero) without any fractional or decimal part.
Therefore, the correct response is that all integers are rational numbers.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.