Let's solve the expression step by step:
The given expression is:
$$
8 ÷ 2(2 + 2) = ?
$$
---
Step 1: Solve inside the parentheses
$$
2 + 2 = 4
$$
Now the expression becomes:
$$
8 ÷ 2(4)
$$
---
Step 2: Understand the order of operations (PEMDAS)
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
Note: Multiplication and division are at the same level and are evaluated
left to right.
So, we now have:
$$
8 ÷ 2 × 4
$$
We evaluate from
left to right:
#### First: $8 ÷ 2 = 4$
Now the expression is:
$$
4 × 4 = 16
$$
---
✔ Final Answer:
$$
\boxed{16}
$$
---
Important Note:
Some people might interpret $2(2+2)$ as a single term (implied multiplication), thinking it should be done before division. But according to standard order of operations,
implied multiplication does not take precedence over explicit division — all multiplication and division are treated equally and go left to right.
Thus, the correct answer is:
$$
\boxed{16}
$$
Parent Tip: Review the logic above to help your child master the concept of math problems.