Solve the Expression: 3×(4-1)+5÷1 Using Order of Operations

Order of Operations with Mixed Operations

Solve the exercise:

3⋅(4−1)+5:1= 3\cdot(4-1)+5:1=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:01 Let's start with the parentheses
00:09 Multiplication and division precede addition

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the exercise:

3⋅(4−1)+5:1= 3\cdot(4-1)+5:1=

2

Step-by-step solution

We solve the exercise in parentheses:3⋅3+5:1= 3\cdot3+5:1=

We place in parentheses the multiplication and division exercises:

(3⋅3)+(5:1)= (3\cdot3)+(5:1)=

We solve the exercises in parentheses:

9+5=14 9+5=14

3

Final Answer

14 14

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Solve parentheses first, then multiplication/division from left to right
  • Technique: Group operations: (3×3) + (5÷1) = 9 + 5
  • Check: Substitute back: 3×(4-1)+5÷1 = 3×3+5 = 14 ✓

Common Mistakes

Avoid these frequent errors
  • Solving operations from left to right without considering order
    Don't solve 3×4-1+5÷1 = 12-1+5 = 16! This ignores parentheses and gives the wrong answer. Always follow PEMDAS: solve (4-1) first, then multiply and divide before adding.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I solve the parentheses first even though multiplication comes before addition?

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Parentheses always come first in PEMDAS! Even if there's multiplication or division nearby, you must solve anything in parentheses before doing other operations.

What does the colon (:) symbol mean in math?

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The colon (:) means division, just like the ÷ symbol. So 5:1 5:1 is the same as 5÷1=5 5÷1 = 5 .

Do I solve multiplication and division at the same time?

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Yes! Multiplication and division have equal priority. When you see both, solve them from left to right in the order they appear.

How can I remember the order of operations?

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Use the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Some people remember "Please Excuse My Dear Aunt Sally"!

What if I get a different answer when checking my work?

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Go back and check each step carefully! Make sure you solved parentheses first, then did multiplication/division from left to right, and finally addition/subtraction from left to right.

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