Solve: 100-(5+55) Using Order of Operations

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

Math has special rules called Order of Operations (PEMDAS/BODMAS). Parentheses always come first, no matter where they appear in the problem!

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward. If you have nested parentheses like ((5+3)+2), solve 5+3=8 first, then (8+2)=10.

Q: Do I really need to write out every step?

Yes, especially when learning! Writing Step 1: 5+55=60 and Step 2: 100-60=40 helps you avoid mistakes and shows your thinking clearly.

Q: What would happen if I ignored the parentheses?

You'd get 150 instead of 40 - completely wrong! The parentheses group 5+55 together, which changes the entire calculation.

Q: How do I remember to do parentheses first?

Think PEMDAS: Please Excuse My Dear Aunt Sally. The 'P' for Parentheses always comes first, before everything else!

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 always equals minus

00:09 We will use this formula in our exercise

00:14 We will solve according to the order of operations from left to right

00:22 We will use long subtraction

00:27 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

$100-(5+55)=$

2

Step-by-step solution

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

Step 1: Calculate the sum inside the parentheses.
Step 2: Subtract the result of the sum from 100.

Now, let's work through each step:
Step 1: Calculate $5 + 55$ , which gives $60$ .
Step 2: Perform the subtraction $100 - 60$ , which equals $40$ .

Therefore, the solution to the problem is $40$ .

3

Final Answer

40

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve operations inside parentheses first before anything else
Technique: Calculate $5 + 55 = 60$ , then subtract from 100
Check: Substitute back: 100 - 60 = 40 matches our answer ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering parentheses
Don't calculate 100 - 5 = 95 first, then add 55 = 150! This ignores the parentheses completely and gives the wrong answer. Always solve what's inside parentheses first, then work outward.

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?

+

Math has special rules called Order of Operations (PEMDAS/BODMAS). Parentheses always come first, no matter where they appear in the problem!

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward. If you have nested parentheses like ((5+3)+2), solve 5+3=8 first, then (8+2)=10.

Do I really need to write out every step?

+

Yes, especially when learning! Writing Step 1: 5+55=60 and Step 2: 100-60=40 helps you avoid mistakes and shows your thinking clearly.

What would happen if I ignored the parentheses?

+

You'd get 150 instead of 40 - completely wrong! The parentheses group 5+55 together, which changes the entire calculation.

How do I remember to do parentheses first?

+

Think PEMDAS: Please Excuse My Dear Aunt Sally. The 'P' for Parentheses always comes first, before everything else!

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Solve: 100-(5+55) Using Order of Operations

Order of Operations with Parentheses First

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