Numerical Comparison: Determining the Maximum Value in a Set

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

The colon (:) means division, just like the ÷ symbol! So $ 50:5 $ is the same as $ 50÷5 = 10 $.

Q: Why can't I just work from left to right?

Order of operations (PEMDAS) must be followed! Division and multiplication come before addition and subtraction, regardless of their position in the expression.

Q: How do I remember which operations to do first?

Remember PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Division always comes before subtraction!

Q: What if I get different answers for each expression?

That's exactly what should happen! You're comparing different values to find the highest one. Calculate each expression separately, then compare the final results.

Q: Is 240 really bigger than 130, 73, and 12?

Yes! When you calculate correctly: $ 250-50:5 = 240 $, $ 100+30 = 130 $, $ 20×4-7 = 73 $, and $ 10+4:2 = 12 $. So 240 is definitely the largest!

Order of Operations with Division Notation

Who has the highest value?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Start with the first exercise

00:10 Multiplication and division take precedence over addition and subtraction

00:16 This is the solution to the first exercise

00:19 The second exercise is a simple addition problem

00:25 Continue to the third exercise

00:29 Here too, multiplication and division precede addition and subtraction

00:37 This is the solution to the third exercise

00:39 Proceed to the fourth exercise

00:44 Multiplication and division precede addition

00:52 It's easy to identify which of the solutions has the smallest value

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Who has the highest value?

Step-by-step solution

$250-50:5=250-(50:5)=250-10=240$

$100+30=130$

$20\times4-7=(20\times4)-7=80-7=73$

$10+4:2=10+(4:2)=10+2=12$

Final Answer

$250-50\colon5$

Key Points to Remember

Essential concepts to master this topic

Rule: Division and multiplication are performed before addition and subtraction
Technique: Calculate $250-50:5 = 250-(50÷5) = 250-10 = 240$
Check: Verify each expression by following PEMDAS step-by-step to compare values ✓

Common Mistakes

Avoid these frequent errors

Working from left to right without considering operation priority
Don't calculate 250-50:5 as (250-50):5 = 200:5 = 40! This ignores order of operations and gives a completely wrong result. Always perform division and multiplication before addition and subtraction.

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 (:) means division, just like the ÷ symbol! So $50:5$ is the same as $50÷5 = 10$ .

Why can't I just work from left to right?

Order of operations (PEMDAS) must be followed! Division and multiplication come before addition and subtraction, regardless of their position in the expression.

How do I remember which operations to do first?

Remember PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Division always comes before subtraction!

What if I get different answers for each expression?

That's exactly what should happen! You're comparing different values to find the highest one. Calculate each expression separately, then compare the final results.

Is 240 really bigger than 130, 73, and 12?

Yes! When you calculate correctly: $250-50:5 = 240$ , $100+30 = 130$ , $20×4-7 = 73$ , and $10+4:2 = 12$ . So 240 is definitely the largest!

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Numerical Comparison: Determining the Maximum Value in a Set

Order of Operations with Division Notation

❤️ 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 can't I just work from left to right?

How do I remember which operations to do first?

What if I get different answers for each expression?

Is 240 really bigger than 130, 73, and 12?

🌟 Unlock Your Math Potential

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