Solve the Expression: 400-(105+80) Using Order of Operations

Order of Operations with Parentheses First

400(105+80)= 400-(105+80)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 When opening parentheses, minus times plus is always equal to minus
00:09 Let's use this formula in our exercise
00:16 Let's solve according to the order of operations from left to right
00:20 Let's use long subtraction, and substitute in our exercise
00:39 Let's continue solving
00:43 Let's use long subtraction
00:48 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

400(105+80)= 400-(105+80)=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Perform the calculation within the parentheses.
  • Step 2: Subtract the result from 400.

Now, let's work through each step:

Step 1: Calculate the sum inside the parentheses: 105+80=185 105 + 80 = 185 .

Step 2: Subtract this sum from 400:
400185=215 400 - 185 = 215 .

Therefore, the solution to the problem is 215 215 .

3

Final Answer

215

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve operations inside parentheses before anything else
  • Technique: Calculate 105 + 80 = 185, then subtract from 400
  • Check: Verify 400 - (105 + 80) = 400 - 185 = 215 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and calculating left to right
    Don't calculate 400 - 105 = 295 first, then subtract 80 = 215 by accident! This ignores the parentheses completely and can lead to wrong methods. Always solve what's inside parentheses first, then subtract that result.

Practice Quiz

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\( 70:(14\times5)= \)

FAQ

Everything you need to know about this question

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

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Math has special rules called Order of Operations that tell us which calculations to do first. Parentheses always come first, no matter where they appear in the problem!

What does PEMDAS mean and how does it help?

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PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. It's like a roadmap that shows you exactly which operations to do first!

What if I forgot to do the parentheses first?

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You might get the wrong answer! In this problem, skipping parentheses could give you different results. Always look for parentheses first and solve what's inside them.

Are there other grouping symbols besides parentheses?

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Yes! You might see brackets [ ] or braces { }. Treat them the same way - solve what's inside first, starting with the innermost symbols.

How can I remember to check my work?

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Try the 'Does this make sense?' test! 400185=215 400 - 185 = 215 means we took away 185 from 400, leaving us with 215. That sounds reasonable!

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