Solve Mixed Operations: 100:2-10:2+3×4-6-5×2 Using PEMDAS

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

The colon symbol (:) means division, just like the ÷ symbol! So $ 100:2 $ is the same as $ 100÷2=50 $.

Q: Why do I solve multiplication and division before addition and subtraction?

This is the universal order of operations (PEMDAS) rule! Multiplication and division have higher priority than addition and subtraction, so they must be done first.

Q: Do I go left to right for both multiplication/division AND addition/subtraction?

Yes! Within the same priority level, always work from left to right. So for $ 50-5+12-6-10 $, calculate step by step: 45+12=57, then 57-6=51, then 51-10=41.

Q: What if I get a different answer by working left to right from the start?

That means you're not following PEMDAS! You must complete all multiplication and division operations first, then handle addition and subtraction from left to right.

Q: How can I remember to do multiplication and division first?

Think of PEMDAS as Please Excuse My Dear Aunt Sally! Multiplication and Division come before Addition and Subtraction in both the acronym and the order of operations.

Order of Operations with Mixed Division Symbols

Solve the following problem using PEDMAS:

$100:2-10:2+3\times4-6-5\times2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve the following expression

00:04 Always solve multiplication and division before addition subtraction

00:08 Solve one operation and then continue

00:22 Proceed to the next division

00:34 Calculate the multiplication

00:47 Proceed to the next multiplication

01:00 Continue to solve the expression according to the proper order of operations

01:03 From left to right, one operation at a time

01:20 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following problem using PEDMAS:

$100:2-10:2+3\times4-6-5\times2=$

Step-by-step solution

According to the order of operations rules, we first enter the multiplication and division operations into parentheses:

$(100:2)-(10:2)+(3\times4)-6-(5\times2)=$

Now let's solve the operations within the parentheses:

$100:2=50$

$10:2=5$

$3\times4=12$

$5\times2=10$

We obtain the following expression:

$50-5+12-6-10=$

Let's solve the expression from left to right:

$50-5=45$

$45+12=57$

$57-6=51$

$51-10=41$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication and division are performed from left to right
Technique: Calculate $100:2=50$ and $3\times4=12$ before adding or subtracting
Check: Final expression $50-5+12-6-10=41$ calculated left to right ✓

Common Mistakes

Avoid these frequent errors

Performing operations strictly left to right without considering order
Don't calculate 100:2-10:2 as (100:2-10):2 = 22.5! This ignores PEMDAS rules and gives wrong results. Always complete all multiplication and division first, then work 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

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

The colon symbol (:) means division, just like the ÷ symbol! So $100:2$ is the same as $100÷2=50$ .

Why do I solve multiplication and division before addition and subtraction?

This is the universal order of operations (PEMDAS) rule! Multiplication and division have higher priority than addition and subtraction, so they must be done first.

Do I go left to right for both multiplication/division AND addition/subtraction?

Yes! Within the same priority level, always work from left to right. So for $50-5+12-6-10$ , calculate step by step: 45+12=57, then 57-6=51, then 51-10=41.

What if I get a different answer by working left to right from the start?

That means you're not following PEMDAS! You must complete all multiplication and division operations first, then handle addition and subtraction from left to right.

How can I remember to do multiplication and division first?

Think of PEMDAS as Please Excuse My Dear Aunt Sally! Multiplication and Division come before Addition and Subtraction in both the acronym and the order of operations.

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Solve Mixed Operations: 100:2-10:2+3×4-6-5×2 Using PEMDAS

Order of Operations with Mixed Division Symbols

❤️ 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

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

Why do I solve multiplication and division before addition and subtraction?

Do I go left to right for both multiplication/division AND addition/subtraction?

What if I get a different answer by working left to right from the start?

How can I remember to do multiplication and division first?

🌟 Unlock Your Math Potential

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