Question

Choose the number below that fits into ALL the following number sets: Natural Number Whole Number Integer (1 point) Responses 5 5 1.9 1.9 −23 negative 2 thirds 6x−3x

Answer 1

To determine which number fits into all the specified sets (Natural Number, Whole Number, Integer), let's first define each type:

- **Natural Numbers**: These are the positive integers (1, 2, 3, ...). They do not include zero or negative numbers.
- **Whole Numbers**: These include all natural numbers plus zero (0, 1, 2, 3, ...).
- **Integers**: These include positive numbers, negative numbers, and zero (... -3, -2, -1, 0, 1, 2, 3 ...).

Now, let's analyze each of the given options:

1. **5**:
- Natural Number: Yes
- Whole Number: Yes
- Integer: Yes
- Conclusion: Fits into all sets.

2. **1.9**:
- Natural Number: No (not an integer)
- Whole Number: No
- Integer: No
- Conclusion: Does not fit into any set.

3. **−23**:
- Natural Number: No
- Whole Number: No
- Integer: Yes
- Conclusion: Does not fit into all sets.

4. **negative 2 thirds**:
- Natural Number: No
- Whole Number: No
- Integer: No
- Conclusion: Does not fit into any set.

5. **6x−3x**: This simplifies to **3x**.
- The inclusion of this term depends on the value of x, so we cannot classify it without knowing the value of x (it is not inherently a number).
- Conclusion: Cannot determine without context.

From the options provided, the only number that fits into all three specified sets (Natural Number, Whole Number, Integer) is:

**5**