Solve 8:2(2+2): Order of Operations Challenge

Q: Why isn't the answer 1 if I solve 2(4) first?

The implied multiplication 2(4) doesn't have higher priority than division! After solving parentheses, you must work left to right: $ 8÷2×4 = 4×4 = 16 $.

Q: What's the difference between 8÷2(4) and 8÷(2×4)?

Huge difference! $ 8÷2(4) = 8÷2×4 = 16 $ but $ 8÷(2×4) = 8÷8 = 1 $. The extra parentheses in the second version change the order completely.

Q: How can I avoid confusion with these problems?

Always follow PEMDAS strictly: Parentheses first, then multiplication and division from left to right. When in doubt, rewrite $ 2(4) $ as $ 2×4 $ to see the order clearly.

Order of Operations with Implied Multiplication

$8:2(2+2)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this math problem together.

00:09 First, always tackle the operations inside the parentheses. This is our starting point.

00:17 Since we're only dealing with division and multiplication, we can continue solving step by step.

00:24 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$8:2(2+2)=$

Step-by-step solution

Let's start with the part inside the parentheses.

$2+2=4$
Then we will solve the exercise from left to right

$8:2=4$
$4 × (4)=16$

The answer: $16$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Parentheses first, then multiplication and division left to right
Technique: $8÷2(4) = 8÷2×4 = 4×4 = 16$
Check: Work step by step: parentheses first, then left to right ✓

Common Mistakes

Avoid these frequent errors

Treating implied multiplication as higher priority
Don't solve 2(4) first to get 8÷8=1! This treats implied multiplication like it has higher priority than division. The multiplication symbol is invisible but follows same rules. Always work division and multiplication from left to right after parentheses.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why isn't the answer 1 if I solve 2(4) first?

The implied multiplication 2(4) doesn't have higher priority than division! After solving parentheses, you must work left to right: $8÷2×4 = 4×4 = 16$ .

What's the difference between 8÷2(4) and 8÷(2×4)?

Huge difference! $8÷2(4) = 8÷2×4 = 16$ but $8÷(2×4) = 8÷8 = 1$ . The extra parentheses in the second version change the order completely.

Is there a controversy about this type of problem?

Yes! Some people argue implied multiplication should have higher priority, but modern PEMDAS rules treat all multiplication and division equally, working left to right.

How can I avoid confusion with these problems?

Always follow PEMDAS strictly: Parentheses first, then multiplication and division from left to right. When in doubt, rewrite $2(4)$ as $2×4$ to see the order clearly.

What if my calculator gives a different answer?

Some older calculators might interpret implied multiplication differently. Modern calculators and mathematical software follow standard PEMDAS rules and should give 16.

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Solve 8:2(2+2): Order of Operations Challenge

Order of Operations with Implied Multiplication

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why isn't the answer 1 if I solve 2(4) first?

What's the difference between 8÷2(4) and 8÷(2×4)?

Is there a controversy about this type of problem?

How can I avoid confusion with these problems?

What if my calculator gives a different answer?

🌟 Unlock Your Math Potential

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