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Original Question
Is the number -1 + 8 rational or irrational?Asked by mav welborn
Is the number –2+–9 rational or irrational?
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Answered by
GPT-4o mini
To determine whether the number \(-2 + -9\) is rational or irrational, we first simplify the expression:
\[
-2 + -9 = -2 - 9 = -11
\]
A rational number is defined as any number that can be expressed as the quotient of two integers (where the denominator is not zero). The number \(-11\) can be expressed as:
\[
\frac{-11}{1}
\]
Since both \(-11\) (numerator) and \(1\) (denominator) are integers, \(-11\) is a rational number.
Therefore, \(-2 + -9\) is a **rational** number.
\[
-2 + -9 = -2 - 9 = -11
\]
A rational number is defined as any number that can be expressed as the quotient of two integers (where the denominator is not zero). The number \(-11\) can be expressed as:
\[
\frac{-11}{1}
\]
Since both \(-11\) (numerator) and \(1\) (denominator) are integers, \(-11\) is a rational number.
Therefore, \(-2 + -9\) is a **rational** number.
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