Solve the Expression: 2×3-(4+5)÷2 Using Order of Operations

Order of Operations with Mixed Operations

Solve the exercise:

2×3(4+5):2= 2\times3-(4+5):2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this expression step by step.
00:12 First, handle anything inside the parentheses.
00:17 Next, do multiplication or division before moving to addition and subtraction.
00:23 And there you have it! That's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the exercise:

2×3(4+5):2= 2\times3-(4+5):2=

2

Step-by-step solution

According to the rules of the order of operations, we first solve the exercise within parentheses:

4+5=9 4+5=9

Now we obtain the exercise:

2×39:2= 2\times3-9:2=

We place in parentheses the multiplication and division exercises:

(2×3)(9:2)= (2\times3)-(9:2)=

We solve the exercises within parentheses:

2×3=6 2\times3=6

9:2=4.5 9:2=4.5

Now we obtain the exercise:

64.5=1.5 6-4.5=1.5

3

Final Answer

1.5 1.5

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication and division left to right
  • Technique: Calculate (4+5)=9, then 2×3=6 and 9÷2=4.5
  • Check: Verify final subtraction: 6-4.5=1.5 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following PEMDAS
    Don't solve 2×3-(4+5)÷2 as ((2×3-4)+5)÷2 = 1.25! This ignores parentheses and creates wrong grouping. Always follow PEMDAS: parentheses first, then multiplication/division before subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 187\times(8-5)= \)

FAQ

Everything you need to know about this question

Why do I solve parentheses before multiplication?

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PEMDAS (or BODMAS) is the universal math rule! Parentheses always come first, no matter what operations are inside or outside them.

Do I multiply before dividing or divide before multiplying?

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When you have both multiplication and division, work from left to right. In this problem, 2×3 2\times3 comes before 9÷2 9\div2 , so do them separately, not in sequence.

Can I get a decimal answer in order of operations?

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Absolutely! Division often creates decimals. 9÷2=4.5 9\div2 = 4.5 is perfectly correct, and 64.5=1.5 6-4.5=1.5 is the right final answer.

What if I forgot to do parentheses first?

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You'll get the wrong answer! For example, doing 2×34+5÷2 2\times3-4+5\div2 gives you a completely different result. Always start with parentheses - it's the most important step!

How can I remember the order of operations?

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Use PEMDAS: Please Excuse My Dear Aunt Sally. Or think:

  • Parentheses (grouping symbols)
  • Exponents (powers)
  • Multiplication & Division (left to right)
  • Addition & Subtraction (left to right)

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