Evaluate the following numerical expression
5 - 16 ÷ 8 + 2
To evaluate the expression 5 - 16 ÷ 8 + 2, we must follow the correct order of operations. According to the order of operations (also known as PEMDAS/BODMAS), we must first perform any calculations inside parentheses/brackets, then solve any exponents/orders, then proceed with any multiplication/division, and finally, finish with any addition/subtraction.
Let's solve the expression step by step:
First, we perform the division:
16 ÷ 8 = 2
Therefore, the expression becomes:
5 - 2 + 2
Next, we perform the subtraction and addition from left to right:
5 - 2 = 3
3 + 2 = 5
Hence, the evaluation of the numerical expression 5 - 16 ÷ 8 + 2 is equal to 5.