Question
Rational numbers can be written in the form a/b where an and b are integers and b 0
Answers
GPT-4o mini
That's correct! A rational number is defined as any number that can be expressed in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers, and \( b \) is not equal to zero (i.e., \( b \neq 0 \)). The integer \( a \) is called the numerator, and \( b \) is called the denominator.
For example, \( \frac{3}{4} \), \( -\frac{2}{5} \), and \( 0 \) (which can be written as \( \frac{0}{1} \)) are all rational numbers. In contrast, numbers like \( \pi \) and \( \sqrt{2} \) are not rational numbers, as they cannot be expressed as a fraction of two integers.
For example, \( \frac{3}{4} \), \( -\frac{2}{5} \), and \( 0 \) (which can be written as \( \frac{0}{1} \)) are all rational numbers. In contrast, numbers like \( \pi \) and \( \sqrt{2} \) are not rational numbers, as they cannot be expressed as a fraction of two integers.