Solve the Expression: 45 - 12 + 11 Step by Step

Order of Operations with Mixed Operations

Solve:

4512+11 45 - 12 + 11

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve:

4512+11 45 - 12 + 11

2

Step-by-step solution

First, perform the subtraction: 4512=33 45 - 12 = 33

Next, perform the addition: 33+11=44 33 + 11 = 44

3

Final Answer

44

Key Points to Remember

Essential concepts to master this topic
  • Order Rule: Work from left to right with same-priority operations
  • Technique: First calculate 45 - 12 = 33, then 33 + 11
  • Check: Verify by working backwards: 44 - 11 = 33, then 33 + 12 = 45 ✓

Common Mistakes

Avoid these frequent errors
  • Adding and subtracting out of order
    Don't calculate 12 + 11 = 23 first, then 45 - 23 = 22! This ignores left-to-right order and gives the wrong answer. Always work from left to right when operations have the same priority.

Practice Quiz

Test your knowledge with interactive questions

Solve:

\( 10+5-3\text{ }= \)

FAQ

Everything you need to know about this question

Why can't I add 12 + 11 first since it's easier?

+

Addition and subtraction have equal priority, so you must work left to right. Changing the order changes the meaning of the expression and gives a wrong answer.

What if I get confused about which operation to do first?

+

Remember PEMDAS! Since there are no parentheses, exponents, or multiplication/division here, just work left to right with the addition and subtraction.

How can I double-check my work?

+

Try working backwards! Start with your answer 44 44 , subtract 11 11 to get 33 33 , then add 12 12 to verify you get 45 45 .

Is there a trick to avoid mistakes with mixed operations?

+

Yes! Rewrite each step as you go: 4512+11 45 - 12 + 11 becomes 33+11 33 + 11 , then 44 44 . Writing it out prevents mental math errors.

What would happen if I worked right to left instead?

+

You'd get the wrong answer! Working right to left gives 45(12+11)=4523=22 45 - (12 + 11) = 45 - 23 = 22 , which is completely different from the correct answer of 44 44 .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners 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