Solve the Expression: 30 - (10 + 7) Using Order of Operations

Order of Operations with Parentheses

Solve the following equation:

30(10+7)= 30 - (10 + 7) =

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

30(10+7)= 30 - (10 + 7) =

2

Step-by-step solution

First, solve the expression inside the parentheses:
10+7=1710 + 7 = 17

Then subtract from 30:
3017=1330 - 17 = 13

3

Final Answer

13

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve operations inside parentheses first
  • Technique: Calculate 10 + 7 = 17, then subtract: 30 - 17
  • Check: Substitute back: 30 - (10 + 7) = 30 - 17 = 13 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and calculating left to right
    Don't calculate 30 - 10 + 7 = 27! This ignores the parentheses and gives the wrong answer. The parentheses change the order completely. Always solve what's inside parentheses first, then continue with remaining operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 30 - (10 + 7) = \)

FAQ

Everything you need to know about this question

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

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Math has a special order called PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Parentheses always come first, no matter where they appear in the expression!

What if there are multiple sets of parentheses?

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Solve each set of parentheses from left to right. For example: (5 + 3) - (2 + 1) = 8 - 3 = 5. Handle one set at a time!

Do I always get a different answer when I ignore parentheses?

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Usually yes! In this problem, ignoring parentheses gives 27, but the correct answer is 13. Parentheses can completely change your result, so never skip them.

How do I remember to check parentheses first?

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Think of parentheses as "Do me first!" boxes. Whatever is inside those boxes must be solved before anything else. Circle them if it helps you remember!

What happens if I make a mistake inside the parentheses?

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If you get the parentheses wrong, your whole answer will be wrong! Double-check your addition or subtraction inside parentheses before moving to the next step.

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