6 ÷ 2(1+2) = ?
Understand the Problem
The question is asking to solve the mathematical expression '6 ÷ 2(1+2)'. This involves applying the order of operations (PEMDAS/BODMAS) to find the correct answer.
Answer
The answer is $9$.
Answer for screen readers
The final answer is:
$$ 9 $$
Steps to Solve
- Evaluate the parentheses
First, calculate the expression inside the parentheses:
$$ 1 + 2 = 3 $$
- Rewrite the expression
Now rewrite the original expression using the result from the parentheses:
$$ 6 \div 2(3) $$
- Interpret multiplication and division
Remember that multiplication and division are performed from left to right. So we first rewrite the expression as:
$$ 6 \div 2 \times 3 $$
- Perform the division
Now, divide:
$$ 6 \div 2 = 3 $$
- Perform the multiplication
Finally, multiply the result obtained:
$$ 3 \times 3 = 9 $$
The final answer is:
$$ 9 $$
More Information
This expression emphasizes the importance of the order of operations, specifically how multiplication and division should be processed from left to right, which can often lead to confusion.
Tips
- Ignoring Order of Operations: A common mistake is performing multiplication before division without following left to right order, which can lead to incorrect results.
- Miscalculating Parentheses: Ensure that you accurately simplify anything inside parentheses before rewriting the expression.
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