Solve 10-5²÷5: Order of Operations Challenge

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

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Without this order, the same expression could have different answers! Exponents and division are always done before subtraction.

Q: What does the colon symbol mean in math?

The colon : is another way to write division, just like $ \div $. So $ 25:5 $ means the same as $ 25 \div 5 = 5 $.

Q: How do I remember PEMDAS?

Try the phrase "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Practice with simple problems first!

Q: What if I get a different answer?

Double-check each step: $ 5^2 = 25 $ (not 10), then $ 25 \div 5 = 5 $, finally $ 10 - 5 = 5 $. The most common error is doing subtraction before the exponent and division.

Q: Are there any shortcuts for this type of problem?

No real shortcuts - following PEMDAS step-by-step is actually the fastest and most reliable method. Trying to skip steps often leads to mistakes. Practice the order until it becomes automatic!

Order of Operations with Exponents

$10-5^2:5=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$10-5^2:5=$

Step-by-step solution

First, compute the power: $5^2 = 25$ .

Next, divide: $25 \div 5 = 5$ .

Finally, subtract: $10 - 5 = 5$ .

Final Answer

$5$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Exponents before division, then division before subtraction
Step-by-Step: $5^2 = 25$ , then $25 \div 5 = 5$ , then $10 - 5 = 5$
Verify: Check each operation follows PEMDAS order correctly ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering order
Don't solve $10-5^2\div5$ by doing $10-5=5$ first = wrong answer of 1! This ignores the exponent and division that must come first. Always follow PEMDAS: exponents first, then division, then subtraction.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

$36-4\div2$

FAQ

Everything you need to know about this question

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

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Without this order, the same expression could have different answers! Exponents and division are always done before subtraction.

What does the colon symbol mean in math?

The colon : is another way to write division, just like $\div$ . So $25:5$ means the same as $25 \div 5 = 5$ .

How do I remember PEMDAS?

Try the phrase "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Practice with simple problems first!

What if I get a different answer?

Double-check each step: $5^2 = 25$ (not 10), then $25 \div 5 = 5$ , finally $10 - 5 = 5$ . The most common error is doing subtraction before the exponent and division.

Are there any shortcuts for this type of problem?

No real shortcuts - following PEMDAS step-by-step is actually the fastest and most reliable method. Trying to skip steps often leads to mistakes. Practice the order until it becomes automatic!

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