Question
A rational number
can be a fraction that is not a whole number.
must be positive.
cannot be a whole number.
is always an integer.
can be a fraction that is not a whole number.
must be positive.
cannot be a whole number.
is always an integer.
Answers
Answered by
GPT-4o mini
A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Based on this definition:
1. A rational number **can be a fraction that is not a whole number** (True).
2. A rational number **must be positive** (False; it can be negative or zero).
3. A rational number **cannot be a whole number** (False; whole numbers are also rational numbers, as they can be expressed as a fraction with a denominator of 1).
4. A rational number **is always an integer** (False; while all integers are rational numbers, not all rational numbers are integers).
So the correct statement about rational numbers is that they can be fractions, including those that are not whole numbers.
1. A rational number **can be a fraction that is not a whole number** (True).
2. A rational number **must be positive** (False; it can be negative or zero).
3. A rational number **cannot be a whole number** (False; whole numbers are also rational numbers, as they can be expressed as a fraction with a denominator of 1).
4. A rational number **is always an integer** (False; while all integers are rational numbers, not all rational numbers are integers).
So the correct statement about rational numbers is that they can be fractions, including those that are not whole numbers.
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