Evaluate 5-(13-8): Order of Operations Practice

Order of Operations with Nested Parentheses

5(138)= 5-(13-8)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5(138)= 5-(13-8)=

2

Step-by-step solution

According to the order of operations, we first solve the exercise within parentheses:

138=5 13-8=5

Now we obtain the exercise:

55=0 5-5=0

3

Final Answer

0 0

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses first before other operations
  • Technique: Calculate 138=5 13-8=5 first, then solve 55=0 5-5=0
  • Check: Work left to right after parentheses: 55=0 5-5=0

Common Mistakes

Avoid these frequent errors
  • Working left to right without solving parentheses first
    Don't calculate 5-13 first = -8, then subtract 8 to get -16! This ignores the parentheses completely and changes the entire problem. Always solve what's inside parentheses before doing any other operations.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(5+55)= \)

FAQ

Everything you need to know about this question

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

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Mathematics has a special order called PEMDAS (Parentheses first!). Working left to right would give you 513=8 5-13=-8 , then 88=16 -8-8=-16 - completely wrong!

What if there are multiple sets of parentheses?

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Solve each set of parentheses separately first, then work with the remaining expression. Think of parentheses as mini-problems to solve first.

How do I remember to do parentheses first?

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Remember PEMDAS: Please Excuse My Dear Aunt Sally. The 'P' for Parentheses always comes first - it's like opening a gift box before you can see what's inside!

What if I get confused with negative numbers?

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Take it step by step: 138=5 13-8=5 (positive 5), then 55=0 5-5=0 . Write each step clearly to avoid sign errors.

Is there a way to check my answer?

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Yes! Try working backwards or use a calculator to verify each step. For this problem: parentheses first gives 5, then 55 5-5 must equal 0.

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