To solve the expression $8 \div 2(2+2)$, we need to follow the standard order of operations (often remembered by acronyms like PEMDAS or BODMAS).
Step 1: Solve the part inside the parentheses.
First, look at the numbers inside the brackets $(2+2)$.
$$2 + 2 = 4$$
Now, substitute this back into the expression. The problem becomes:
$$8 \div 2(4)$$
In math, when a number is right next to a parenthesis like $2(4)$, it means multiplication. So, the expression is effectively:
$$8 \div 2 \times 4$$
Step 2: Handle Multiplication and Division.
Multiplication and division have the same priority. When they appear together, you must solve them from
left to right.
1. First, do the division on the left:
$$8 \div 2 = 4$$
2. Now, take that result and multiply it by the remaining number:
$$4 \times 4 = 16$$
Verification:
- Parentheses first: $2+2=4$. Expression is $8 \div 2 \times 4$.
- Left-to-right rule: $8 \div 2$ is $4$. Then $4 \times 4$ is $16$.
Final Answer:
16
Parent Tip: Review the logic above to help your child master the concept of math problems.
