Question
Give an example of a rational number. Explain why it is a rational number.
Answers
GPT-4o mini
An example of a rational number is \(\frac{3}{4}\).
A rational number is defined as any number that can be expressed as the quotient or fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers (with \(b \neq 0\)). In this example, 3 and 4 are both integers, and since the denominator (4) is not zero, \(\frac{3}{4}\) meets the criteria for being a rational number.
Additionally, rational numbers can also be represented in decimal form, where they either terminate (like 0.75) or repeat (like 0.333...). The decimal form of \(\frac{3}{4}\) is 0.75, which is a terminating decimal, further confirming that it is a rational number.
A rational number is defined as any number that can be expressed as the quotient or fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers (with \(b \neq 0\)). In this example, 3 and 4 are both integers, and since the denominator (4) is not zero, \(\frac{3}{4}\) meets the criteria for being a rational number.
Additionally, rational numbers can also be represented in decimal form, where they either terminate (like 0.75) or repeat (like 0.333...). The decimal form of \(\frac{3}{4}\) is 0.75, which is a terminating decimal, further confirming that it is a rational number.