Solve the Expression: 0.18 + (1-1) Step by Step

Order of Operations with Zero Identity

0.18+(11)= 0.18+(1-1)=

❤️ 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
00:05 Let's solve this problem together.
00:08 First, we always start by solving what's inside the parentheses.
00:13 Great! Now, let's continue solving the rest of the problem.
00:18 And there you have it! That's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

0.18+(11)= 0.18+(1-1)=

2

Step-by-step solution

According to the order of operations rules, we first solve the expression in parentheses:

11=0 1-1=0

And we get the expression:

0.18+0=0.18 0.18+0=0.18

3

Final Answer

0.18

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses first before other operations
  • Technique: Calculate 1-1=0, then add: 0.18+0=0.18
  • Check: Verify parentheses were solved first and addition gives original decimal ✓

Common Mistakes

Avoid these frequent errors
  • Adding before solving parentheses
    Don't add 0.18 + 1 - 1 = 1.18 - 1 = 0.18 by going left to right! This ignores order of operations rules and can give wrong answers in more complex problems. Always solve what's inside parentheses first, then perform remaining operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( 12+3\cdot0= \)

FAQ

Everything you need to know about this question

Why do I have to solve the parentheses first if 1-1=0 anyway?

+

Great question! While 11=0 1-1=0 seems obvious, following order of operations is a fundamental math rule. In more complex problems like 0.18+(53) 0.18+(5-3) , skipping parentheses would give wrong answers!

What if there were no parentheses in this problem?

+

Without parentheses, you'd solve 0.18+11 0.18+1-1 from left to right: 0.18+1=1.18, then 1.18-1=0.18. Same answer, but the parentheses make the order crystal clear!

Does adding zero always leave a number unchanged?

+

Yes! This is called the Zero Identity Property. Any number plus zero equals that same number: a+0=a a+0=a . So 0.18+0=0.18 0.18+0=0.18 .

How can I remember the order of operations?

+

Use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Ssubtraction. Or remember: "Please Excuse My Dear Aunt Sally!"

What if I got 1.18 as my answer?

+

You probably added 0.18+1 0.18+1 first, ignoring the parentheses! Remember: parentheses first, so (11)=0 (1-1)=0 , then 0.18+0=0.18 0.18+0=0.18 .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Order of Operations 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