Solve the Expression: 25:5+4×3-5 Using Order of Operations

Q: Why can't I just solve from left to right like reading?

Mathematics has a specific order that everyone must follow to get the same correct answer. Without PEMDAS, the expression $ 25:5+4\times3-5 $ could have many different answers depending on how you solve it!

Q: What does the colon (:) mean in this problem?

The colon (:) symbol means division, just like the ÷ symbol. So $ 25:5 $ is the same as $ 25÷5=5 $.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some students remember it as "Please Excuse My Dear Aunt Sally"!

Q: Why do we get 12 instead of other answer choices?

Let's check: $ 25:5=5 $, $ 4\times3=12 $, so we have $ 5+12-5 $. Working left to right: $ 5+12=17 $, then $ 17-5=12 $. The other answers come from incorrect order!

Q: What if I put parentheses around everything?

Good thinking! Adding parentheses like $ (25:5)+(4\times3)-5 $ helps you see the order clearly, but remember that multiplication and division already have higher priority than addition and subtraction.

Order of Operations with Mixed Arithmetic

$25:5+4\times3-5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 Remember, multiplying and dividing come before adding and subtracting.

00:21 Okay, let's tackle the parts we've highlighted.

00:31 We'll use the commutative property to rearrange things for easier solving.

00:37 Since we have both addition and subtraction, we'll go from left to right.

00:45 And that's the solution! Great job following along!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$25:5+4\times3-5=$

Step-by-step solution

According to the rules of the order of arithmetic operations, we will begin by enclosing the multiplication and division exercises inside of parentheses:

$(25:5)+(4\times3)-5=$

We then proceed to solve the exercises in the parentheses:

$25:5=5$

$4\times3=12$

We obtain the following:

$5+12-5=$

To finish we solve the exercise from left to right:

$5+12=17$

$17-5=12$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve division and multiplication before addition and subtraction
Technique: Calculate 25:5=5 and 4×3=12, then solve 5+12-5 left to right
Check: Verify each step: 5+12=17, then 17-5=12 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors

Solving operations from left to right without following PEMDAS
Don't solve 25:5+4×3-5 as ((25:5+4)×3)-5 = wrong answer of 22! This ignores the order of operations and gives incorrect results. Always complete all multiplication and division first, then addition and subtraction from left to right.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

Mathematics has a specific order that everyone must follow to get the same correct answer. Without PEMDAS, the expression $25:5+4\times3-5$ could have many different answers depending on how you solve it!

What does the colon (:) mean in this problem?

The colon (:) symbol means division, just like the ÷ symbol. So $25:5$ is the same as $25÷5=5$ .

How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some students remember it as "Please Excuse My Dear Aunt Sally"!

Why do we get 12 instead of other answer choices?

Let's check: $25:5=5$ , $4\times3=12$ , so we have $5+12-5$ . Working left to right: $5+12=17$ , then $17-5=12$ . The other answers come from incorrect order!

What if I put parentheses around everything?

Good thinking! Adding parentheses like $(25:5)+(4\times3)-5$ helps you see the order clearly, but remember that multiplication and division already have higher priority than addition and subtraction.

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Solve the Expression: 25:5+4×3-5 Using Order of Operations

Order of Operations with Mixed Arithmetic

❤️ 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

Why can't I just solve from left to right like reading?

What does the colon (:) mean in this problem?

How do I remember the order of operations?

Why do we get 12 instead of other answer choices?

What if I put parentheses around everything?

🌟 Unlock Your Math Potential

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