Solve Expression: 567-(234-123) Using Order of Operations

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

Because the parentheses change the order! The expression $ 567-(234-123) $ means subtract the result of (234-123) from 567, not subtract each number separately.

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward! Solve the deepest nested expressions first, then move to the outer ones step by step.

Q: How is this different from 567-234-123?

Very different! Without parentheses: $ 567-234-123 = 210 $. With parentheses: $ 567-(234-123) = 456 $. The parentheses completely change the calculation!

Q: Can I check my answer a different way?

Yes! You can also think of it as $ 567-(234-123) = 567-234+123 $ by distributing the negative sign. This gives $ 333+123 = 456 $ ✓

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 When opening parentheses, minus times minus always equals plus

00:12 Let's use this formula in our exercise

00:21 Let's solve according to the order of operations from left to right

00:27 Let's use long subtraction

00:33 Let's substitute in the exercise and continue solving

00:40 Let's use long addition

00:46 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

$567-(234-123)=$

2

Step-by-step solution

To solve this mathematical problem, we will follow the prescribed order of operations.

Step 1: Solve the expression inside the parentheses:
Calculate $234 - 123$ :

Perform the subtraction: $234 - 123 = 111$

Step 2: Use the result from Step 1 in the outer expression:
Now calculate $567 - 111$ :

Perform the subtraction: $567 - 111 = 456$

Therefore, the solution to the given problem $567 - (234 - 123) = 456$ .

3

Final Answer

456

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve expressions inside parentheses first (PEMDAS)
Technique: Calculate 234 - 123 = 111, then 567 - 111
Check: Substitute result back: 567 - (234 - 123) = 567 - 111 = 456 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering parentheses
Don't calculate 567 - 234 = 333, then 333 - 123 = 210! This ignores parentheses and gives the wrong answer. Always solve what's inside parentheses first, then work with the result.

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 normal?

+

Because the parentheses change the order! The expression $567-(234-123)$ means subtract the result of (234-123) from 567, not subtract each number separately.

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward! Solve the deepest nested expressions first, then move to the outer ones step by step.

How is this different from 567-234-123?

+

Very different! Without parentheses: $567-234-123 = 210$ . With parentheses: $567-(234-123) = 456$ . The parentheses completely change the calculation!

What does PEMDAS mean again?

+

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Always do operations in this order from left to right.

Can I check my answer a different way?

+

Yes! You can also think of it as $567-(234-123) = 567-234+123$ by distributing the negative sign. This gives $333+123 = 456$ ✓

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Solve Expression: 567-(234-123) Using Order of Operations

Order of Operations with Nested Parentheses

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