To solve the expression \( 2 \cdot 2 + 30 - 9 \div 6 \), we need to follow the order of operations (PEMDAS/BODMAS rules), which states that we handle parentheses and exponents first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's break it down:
- Calculate the multiplication and division:
- \( 2 \cdot 2 = 4 \)
- \( 9 \div 6 = 1.5 \)
Now, substitute these values back into the expression:
\[ 4 + 30 - 1.5 \]
- Next, do the addition and subtraction from left to right:
- \( 4 + 30 = 34 \)
- \( 34 - 1.5 = 32.5 \)
Thus, the final result is:
\[ \boxed{32.5} \]