Final answer:
To find the value of the given expression, follow the order of operations (PEMDAS). The final answer is -12.
Step-by-step explanation:
To find the value of the expression (3-5)(2)-16÷2, we need to follow the order of operations, which is often referred to as PEMDAS. First, we solve any operations inside parentheses, then evaluate exponents, perform any multiplication or division from left to right, and finally, do any addition or subtraction from left to right.
In this case, we have subtraction inside the parentheses: (3-5) = -2. So, the expression becomes -2(2)-16÷2.
Next, we perform multiplication: -2(2) = -4. The expression now becomes -4-16÷2.
Finally, we perform division: 16÷2 = 8. The expression now becomes -4-8.
Subtracting -8 from -4, we get a final answer of -12.
Learn more about Order of Operations (PEMDAS)