Solve (2+1×2)²: Order of Operations with Square Numbers

Q: Do I still follow PEMDAS inside parentheses?

Yes! Even inside parentheses, you must follow the order of operations. So $ 2+1\times2 $ becomes $ 2+2=4 $, not $ 3\times2=6 $.

Q: Why can't I just work left to right inside the parentheses?

Because multiplication always comes before addition in the order of operations! Working left to right would give you $ (3\times2)^2 = 36 $ instead of the correct answer 16.

Q: What if there were no parentheses in this problem?

Without parentheses, $ 2+1\times2^2 $ would equal $ 2+1\times4 = 2+4 = 6 $. The parentheses change which operations happen first!

Q: How do I remember to do multiplication before addition?

Remember PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). M comes before A!

Q: Can I double-check my answer?

Absolutely! Substitute back: if $ (2+1\times2)^2 = 16 $, then $ (2+2)^2 = 4^2 = 16 $ ✓. Your answer checks out!

Parentheses with Multiplication First

$(2+1\times2)^2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this expression together!

00:07 Start with multiplication and division before you move to addition and subtraction.

00:13 Next, handle the numbers inside the parentheses. Then, square that result.

00:19 Finally, break down and calculate the power, and that's how you solve it!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(2+1\times2)^2=$

Step-by-step solution

Let's solve the expression $(2+1\times2)^2$ step-by-step, adhering to the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Firstly, handle the expression inside the parentheses $(2+1\times2)$ :

Within the parentheses, according to PEMDAS, we first perform the multiplication $1\times2$ which equals $2$ .
Now, the expression inside the parentheses becomes $(2+2)$ .
Next, perform the addition: $2+2=4$ .

Now the expression simplifies to $4^2$ .

Second, handle the exponent:

Calculate the square of 4: $4^2 = 16$ .

Thus, the final answer is $16$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Inside parentheses, multiplication comes before addition
Technique: Calculate 1×2 = 2, then 2+2 = 4, finally 4² = 16
Check: Work through each step: (2+2)² = 4² = 16 ✓

Common Mistakes

Avoid these frequent errors

Adding before multiplying inside parentheses
Don't calculate (2+1)×2 = 3×2 = 6, then 6² = 36! This ignores the order of operations within parentheses and gives the wrong answer. Always do multiplication before addition, even inside parentheses: 1×2 first, then 2+2.

Practice Quiz

Test your knowledge with interactive questions

$20\div(4+1)-3=$

FAQ

Everything you need to know about this question

Do I still follow PEMDAS inside parentheses?

Yes! Even inside parentheses, you must follow the order of operations. So $2+1\times2$ becomes $2+2=4$ , not $3\times2=6$ .

Why can't I just work left to right inside the parentheses?

Because multiplication always comes before addition in the order of operations! Working left to right would give you $(3\times2)^2 = 36$ instead of the correct answer 16.

What if there were no parentheses in this problem?

Without parentheses, $2+1\times2^2$ would equal $2+1\times4 = 2+4 = 6$ . The parentheses change which operations happen first!

How do I remember to do multiplication before addition?

Remember PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). M comes before A!

Can I double-check my answer?

Absolutely! Substitute back: if $(2+1\times2)^2 = 16$ , then $(2+2)^2 = 4^2 = 16$ ✓. Your answer checks out!

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Solve (2+1×2)²: Order of Operations with Square Numbers

Parentheses with Multiplication First

❤️ 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

Do I still follow PEMDAS inside parentheses?

Why can't I just work left to right inside the parentheses?

What if there were no parentheses in this problem?

How do I remember to do multiplication before addition?

Can I double-check my answer?

🌟 Unlock Your Math Potential

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