Question

Is the number 2+ -6 rational or irrational?

Answer 1

To determine whether the number \( 2 + (-6) \) is rational or irrational, we first need to simplify the expression.

Calculating \( 2 + (-6) \):

\[
2 + (-6) = 2 - 6 = -4
\]

Now, we check if \(-4\) is a rational number. A number is considered rational if it can be expressed as a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \).

The number \(-4\) can be expressed as:

\[
\frac{-4}{1}
\]

Since both \(-4\) and \(1\) are integers and \(1 \neq 0\), \(-4\) is a rational number.

Thus, the result \( 2 + (-6) = -4 \) is rational.