Solve 28-(4+9): Order of Operations Practice Problem

Order of Operations with Parentheses

28(4+9)= 28-(4+9)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:09 Now we'll continue solving as usual
00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

28(4+9)= 28-(4+9)=

2

Step-by-step solution

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

4+9=13 4+9=13

Now we obtain the exercise:

2813=15 28-13=15

3

Final Answer

15 15

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve operations inside parentheses first
  • Technique: First calculate 4+9=13, then subtract: 28-13=15
  • Check: Work backwards: 15+13=28, and 13-4=9 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without parentheses first
    Don't calculate 28-4=24 then add 9 = 33! This ignores parentheses and gives the wrong answer. Always solve what's inside parentheses before 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 reading?

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Mathematics has a special order of operations (PEMDAS) that's different from reading! Parentheses come first, no matter where they appear in the problem.

What if there are multiple sets of parentheses?

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

Do I always need to write out every step?

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Yes, especially when learning! Writing 4+9=13 4+9=13 then 2813=15 28-13=15 helps you avoid mistakes and shows your thinking clearly.

What happens if I forget about the parentheses?

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You'll get the wrong answer! Without parentheses, 284+9=33 28-4+9=33 , but with parentheses 28(4+9)=15 28-(4+9)=15 . Big difference!

How do I remember to do parentheses first?

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Think of parentheses as "do this first" signals. You can also use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

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