To determine whether the numbers given (0, point, 8, 4, 3, 7, 50.84375) are rational or irrational, we need to understand the definitions:
- Rational numbers are numbers that can be expressed as the quotient of two integers (a fraction), where the denominator is not zero.
- Irrational numbers cannot be expressed as a fraction of two integers and are not terminating or repeating decimals.
Now, let's analyze each number:
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0: This is a rational number because it can be expressed as \( \frac{0}{1} \).
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point: It seems like this might be shorthand or a typo, but if it refers to "0.0", it is also a rational number because it can be expressed as \( \frac{0}{1} \).
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8: This is a rational number because it can be expressed as \( \frac{8}{1} \).
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4: This is also a rational number because it can be expressed as \( \frac{4}{1} \).
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3: Another rational number, as it can be written as \( \frac{3}{1} \).
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7: This is a rational number as well, expressed as \( \frac{7}{1} \).
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50.84375: This is a rational number because it is a terminating decimal, which can also be expressed as \( \frac{5084375}{100000} \).
In conclusion, all of the numbers listed (0, point (assuming it’s 0.0), 8, 4, 3, 7, and 50.84375) are rational numbers.