Question

use the order of operations to evaluate this expression. enter the number that belongs in the green box. $5 + \frac{12}{4} \cdot 2 \cdot \frac{4}{2} = ?$

Explanation:

Step1: Simplify fractions

Simplify \(\frac{12}{4}\) and \(\frac{4}{2}\). \(\frac{12}{4} = 3\) and \(\frac{4}{2}=2\).
The expression becomes \(5 + 3\cdot2\cdot2\).

Step2: Perform multiplication

Multiply from left to right: \(3\cdot2 = 6\), then \(6\cdot2 = 12\).
The expression is now \(5 + 12\).

Step3: Perform addition

Add \(5\) and \(12\): \(5+12 = 17\).

Answer:

\(17\)