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

Order of Operations with Parentheses First

(4+3)×(5−2)= (4+3)\times(5-2)=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(4+3)×(5−2)= (4+3)\times(5-2)=

2

Step-by-step solution

First, solve the expression inside the parentheses:

4+3=7 4+3=7

and

5−2=3 5-2=3

Thus, the equation becomes:

7×3 7\times3

Now, perform the multiplication:

7×3=21 7 \times 3 = 21 .

3

Final Answer

21

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 the following equation:

\( 25 - (8 + 5) = \)

FAQ

Everything you need to know about this question

Why can't I just multiply across first?

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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?

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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?

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

What if I get a different answer?

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

Are there other ways to write this problem?

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Yes! You might see it as (4+3)(5−2) (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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