To determine which rational number also belongs to the set of whole numbers among the given options, we need to evaluate each choice and check if it meets the criteria for whole numbers. Whole numbers are defined as non-negative integers, that is, 0, 1, 2, 3, and so on.
Here are the given choices:
1. 15
2. [tex]\(\frac{3}{8}\)[/tex]
3. 0.1666...
4. -12
Step-by-Step Analysis:
1. 15:
- 15 is a positive integer.
- It satisfies the definition of a whole number.
2. [tex]\(\frac{3}{8}\)[/tex]:
- [tex]\(\frac{3}{8}\)[/tex] is a fraction.
- Fractions are not whole numbers unless their denominator is 1.
- [tex]\(\frac{3}{8}\)[/tex] equals 0.375, which is not a whole number.
3. 0.1666...:
- This is a decimal number.
- Decimals with non-zero values after the decimal point are not whole numbers.
- 0.1666... does not satisfy the condition of being an integer.
4. -12:
- -12 is a negative integer.
- Whole numbers are non-negative (0 and positive integers).
- So, -12 is not a whole number.
Based on this analysis, the only rational number that also belongs to the set of whole numbers among the provided options is 15.
