Solve (4+3)×(5-2): Order of Operations Practice

Q: Why can't I just multiply across first?

The parentheses act like invisible grouping symbols that must be solved first! If you multiply 4×5 and 3×2 first, you're changing the meaning of the expression completely.

Q: Do I solve both sets of parentheses at the same time?

You can solve them in any order since they don't depend on each other. Calculate $ (4+3) $ and $ (5-2) $ separately, then multiply the results.

Q: What if I get a different answer?

Double-check your arithmetic! Make sure $ 4+3=7 $ and $ 5-2=3 $, then $ 7 \times 3=21 $. The most common error is rushing through the parentheses.

Q: Are there other ways to write this problem?

Yes! You might see it as $ (4+3)(5-2) $ without the multiplication symbol, but it means exactly the same thing. The parentheses tell you to multiply the results together.

Order of Operations with Parentheses First

$(4+3)\times(5-2)=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(4+3)\times(5-2)=$

Step-by-step solution

First, solve the expression inside the parentheses:

$4+3=7$

and

$5-2=3$

Thus, the equation becomes:

$7\times3$

Now, perform the multiplication:

$7 \times 3 = 21$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve parentheses before any other operations
Technique: Calculate (4+3)=7 and (5-2)=3, then multiply 7×3
Check: Verify final answer: 7×3=21 matches our result ✓

Common Mistakes

Avoid these frequent errors

Multiplying before solving parentheses
Don't multiply 4×5 and 3×2 first = gives 20×6=120! This ignores the parentheses grouping and breaks the order of operations. Always solve everything inside parentheses completely before moving to multiplication.

Practice Quiz

Test your knowledge with interactive questions

Solve:

$$ -5+4+1-3 $$

FAQ

Everything you need to know about this question

Why can't I just multiply across first?

The parentheses act like invisible grouping symbols that must be solved first! If you multiply 4×5 and 3×2 first, you're changing the meaning of the expression completely.

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Remember: Please Excuse My Dear Aunt Sally!

Do I solve both sets of parentheses at the same time?

You can solve them in any order since they don't depend on each other. Calculate $(4+3)$ and $(5-2)$ separately, then multiply the results.

What if I get a different answer?

Double-check your arithmetic! Make sure $4+3=7$ and $5-2=3$ , then $7 \times 3=21$ . The most common error is rushing through the parentheses.

Are there other ways to write this problem?

Yes! You might see it as $(4+3)(5-2)$ without the multiplication symbol, but it means exactly the same thing. The parentheses tell you to multiply the results together.

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Solve (4+3)×(5-2): Order of Operations Practice

Order of Operations with Parentheses First

❤️ Continue Your Math Journey!

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why can't I just multiply across first?

What does PEMDAS stand for again?

Do I solve both sets of parentheses at the same time?

What if I get a different answer?

Are there other ways to write this problem?

🌟 Unlock Your Math Potential

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