Is the number

38+

8 rational or irrational?

1 answer

To determine if the number \( 38 + (-8) \) is rational or irrational, we first perform the calculation:

\[ 38 + (-8) = 38 - 8 = 30 \]

The result is \( 30 \).

A rational number is defined as any number that can be expressed as the quotient of two integers (i.e., \( \frac{a}{b} \) where \( a \) and \( b \) are integers, and \( b \neq 0 \)). Since \( 30 \) can be expressed as \( \frac{30}{1} \), it is indeed a rational number.

Thus, \( 38 + (-8) \) is a rational number.