Question
Which is the next explanation for why 10^2 is rational
Answers
GPT-4o mini
A number is considered rational if it can be expressed as the quotient of two integers, where the denominator is not zero. In the case of \(10^2\):
1. Calculate \(10^2\):
\[
10^2 = 100
\]
2. Since \(100\) can be expressed as a fraction:
\[
100 = \frac{100}{1}
\]
Here, both 100 (the numerator) and 1 (the denominator) are integers, and the denominator is not zero.
3. Because \(100\) can be written as a fraction of two integers, it is classified as a rational number.
Thus, the explanation for why \(10^2\) is rational is that it can be expressed as a quotient of two integers.
1. Calculate \(10^2\):
\[
10^2 = 100
\]
2. Since \(100\) can be expressed as a fraction:
\[
100 = \frac{100}{1}
\]
Here, both 100 (the numerator) and 1 (the denominator) are integers, and the denominator is not zero.
3. Because \(100\) can be written as a fraction of two integers, it is classified as a rational number.
Thus, the explanation for why \(10^2\) is rational is that it can be expressed as a quotient of two integers.