Solve 26-(11-2): Order of Operations with Nested Subtraction

Parentheses with Nested Subtraction Operations

26(112)= 26-(11-2)=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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
00:10 Let's use this formula in our exercise
00:14 Let's solve according to the order of operations from left to right
00:19 Let's use long subtraction, we'll substitute in our exercise
00:25 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

26(112)= 26-(11-2)=

2

Step-by-step solution

To solve the problem 26(112) 26 - (11 - 2) , we'll proceed as follows:

Step 1: Evaluate the expression inside the parentheses:

  • 112=9 11 - 2 = 9

Step 2: Subtract this result from 26:

  • 269=17 26 - 9 = 17

Therefore, the solution to the problem is 17 17 .

3

Final Answer

17

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve operations inside parentheses first
  • Technique: Work from inside out: 11 - 2 = 9, then 26 - 9
  • Check: Substitute back: 26 - (11 - 2) = 26 - 9 = 17 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without respecting parentheses
    Don't solve 26 - 11 = 15 first and then subtract 2 = 13! This ignores parentheses and breaks order of operations. Always solve what's inside parentheses before doing other operations.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

+

The order of operations (PEMDAS) requires you to do parentheses first! Working left to right would give you the wrong answer because you're not following the mathematical rules.

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward. Always complete one set of parentheses completely before moving to the next operation.

Does it matter that both operations are subtraction?

+

No! The parentheses rule applies regardless of what operations are inside. Whether it's addition, subtraction, multiplication, or division, parentheses always come first.

How do I remember the order of operations?

+

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Parentheses always come first!

What if I get confused about which way to subtract?

+

Write it step by step: 26(112) 26 - (11 - 2) becomes 269 26 - 9 . The subtraction inside parentheses gives you a single number to work with.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations