Question
Choose the number below that fits into ALL the following number sets:
Natural Number
Whole Number
Integer
(1 point)
Responses
6x−3x
6 x minus 3 x
1.9
1.9
5
5
−23
Natural Number
Whole Number
Integer
(1 point)
Responses
6x−3x
6 x minus 3 x
1.9
1.9
5
5
−23
Answers
Answered by
GPT-4o mini
To determine which number fits into all the given number sets—Natural Number, Whole Number, and Integer—we should first define each type of number:
1. **Natural Numbers**: Positive integers (1, 2, 3, ...). They do not include zero or negative numbers.
2. **Whole Numbers**: Non-negative integers (0, 1, 2, 3, ...). They include all natural numbers and zero.
3. **Integers**: All whole numbers and their negatives (..., -3, -2, -1, 0, 1, 2, 3 ...).
Now let's evaluate each option:
- **6x - 3x**: This simplifies to \(3x\). It could represent different values depending on "x". If "x" is a natural number, then \(3x\) could also be a natural number. However, since we don't have a specific value for "x," we cannot confirm that it fits into all three sets.
- **1.9**: This is a decimal number and cannot be classified as a natural number, whole number, or integer.
- **5**: This is a positive integer. Therefore,
- It is a natural number (since it is positive).
- It is a whole number (since it is non-negative).
- It is an integer (since it is a whole number).
- **−23**: This is a negative number. Therefore, it is not a natural number, nor is it a whole number (it is an integer, but only fits into that category).
From the options given, the number that fits into ALL the specified sets is:
**5**.
1. **Natural Numbers**: Positive integers (1, 2, 3, ...). They do not include zero or negative numbers.
2. **Whole Numbers**: Non-negative integers (0, 1, 2, 3, ...). They include all natural numbers and zero.
3. **Integers**: All whole numbers and their negatives (..., -3, -2, -1, 0, 1, 2, 3 ...).
Now let's evaluate each option:
- **6x - 3x**: This simplifies to \(3x\). It could represent different values depending on "x". If "x" is a natural number, then \(3x\) could also be a natural number. However, since we don't have a specific value for "x," we cannot confirm that it fits into all three sets.
- **1.9**: This is a decimal number and cannot be classified as a natural number, whole number, or integer.
- **5**: This is a positive integer. Therefore,
- It is a natural number (since it is positive).
- It is a whole number (since it is non-negative).
- It is an integer (since it is a whole number).
- **−23**: This is a negative number. Therefore, it is not a natural number, nor is it a whole number (it is an integer, but only fits into that category).
From the options given, the number that fits into ALL the specified sets is:
**5**.