Question
What is the best explanation for why -10^2 is irrational
Answers
GPT-4o mini
The expression \(-10^2\) is not actually irrational. Let's clarify what \(-10^2\) means:
1. The expression evaluates as follows:
\[
-10^2 = -(10 \times 10) = -100
\]
2. The result \(-100\) is an integer, and therefore, it is a rational number. Rational numbers can be expressed as the quotient of two integers (for example, \(-100\) can be expressed as \(-100/1\)).
In summary, \(-10^2\) evaluates to \(-100\), which is a rational number, not an irrational one. If you have further questions or need clarification on rational vs. irrational numbers, feel free to ask!
1. The expression evaluates as follows:
\[
-10^2 = -(10 \times 10) = -100
\]
2. The result \(-100\) is an integer, and therefore, it is a rational number. Rational numbers can be expressed as the quotient of two integers (for example, \(-100\) can be expressed as \(-100/1\)).
In summary, \(-10^2\) evaluates to \(-100\), which is a rational number, not an irrational one. If you have further questions or need clarification on rational vs. irrational numbers, feel free to ask!