Evaluate the Expression: 13-(7+4) Using Order of Operations

Order of Operations with Parentheses

13(7+4)= 13-(7+4)=

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Step-by-step video solution

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00:00 Solve
00:03 We always solve parentheses first
00:07 Now we'll continue solving as usual
00:11 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

13(7+4)= 13-(7+4)=

2

Step-by-step solution

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

7+4=11 7+4=11

Now we subtract:

1311=2 13-11=2

3

Final Answer

2 2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses first
  • Technique: Calculate 7+4=11 7+4=11 before subtracting from 13
  • Check: Substitute back: 1311=2 13-11=2

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and working left to right
    Don't solve 13-7+4 = 6+4 = 10! This ignores the grouping symbols and gives the wrong answer. Always solve what's inside parentheses first, then continue with the remaining operations.

Practice Quiz

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

FAQ

Everything you need to know about this question

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

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Mathematics has specific rules called order of operations (PEMDAS). Parentheses always come first, no matter where they appear in the expression!

What if there are no parentheses in a problem?

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Then you follow the rest of PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Do I always get the same answer if I follow PEMDAS?

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Yes! Order of operations ensures everyone gets the same correct answer. Without these rules, 13(7+4) 13-(7+4) could have multiple different answers, which would be confusing!

What if I have multiple sets of parentheses?

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Solve each set of parentheses first, then continue with the remaining operations. Work from the innermost parentheses outward if they're nested.

How can I remember to do parentheses first?

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Think of parentheses as "do this first" containers. Whatever is inside must be completed before you can use that result in the rest of the problem!

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