Rational numbers are numbers that can be expressed as a fraction, where both the numerator (top number) and the denominator (bottom number) are integers, and the denominator is not zero. Whole numbers are the set of numbers that include 0 and all positive numbers without fractions or decimals (0, 1, 2, 3, ...).
Are all rational numbers also whole numbers?
No, not all rational numbers are whole numbers. For example, \( \frac{1}{2} \) and \( -3 \) are rational numbers, but they are not whole numbers.
Are all whole numbers also rational numbers?
Yes, all whole numbers are rational numbers. This is because any whole number can be expressed as a fraction with a denominator of 1. For example, the whole number 4 can be written as \( \frac{4}{1} \).
In summary:
- Whole numbers: 0, 1, 2, 3, ...
- Rational numbers: \( \frac{1}{2}, -3, 4, \frac{4}{1} \)
- Not all rational numbers are whole numbers, but all whole numbers are rational numbers.
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