Evaluate the Expression: 12:3(1+1) Using Order of Operations

Order of Operations with Mixed Notation

12:3(1+1)= 12:3(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 math problem together.
00:08 Remember, follow the correct order of operations.
00:12 First, always tackle what's inside the parentheses.
00:21 For this problem, focus on multiplication and division next.
00:26 Start by calculating 12 divided by 3.
00:32 Then, multiply the answer by 2.
00:35 And that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

12:3(1+1)= 12:3(1+1)=

2

Step-by-step solution

First, we perform the operation inside the parentheses:

12:3(2) 12:3(2)

When there is no mathematical operation between parentheses and a number, we assume it is a multiplication.

Therefore, we can also write the exercise like this:

12:3×2 12:3\times2

Here we solve from left to right:

12:3×2=4×2=8 12:3\times2=4\times2=8

3

Final Answer

8

Key Points to Remember

Essential concepts to master this topic
  • Parentheses First: Always solve operations inside parentheses before anything else
  • Implied Multiplication: 3(2) 3(2) means 3×2=6 3 \times 2 = 6
  • Left to Right: Division and multiplication work left to right: 12÷3×2=4×2=8 12 \div 3 \times 2 = 4 \times 2 = 8

Common Mistakes

Avoid these frequent errors
  • Treating implied multiplication as higher priority than division
    Don't solve 3(1+1) 3(1+1) first to get 12÷6=2 12 \div 6 = 2 ! This ignores left-to-right order and gives the wrong answer. Always follow PEMDAS: parentheses first, then division and multiplication left to right.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why isn't the answer 2 if I solve 3(2) first?

+

While parentheses come first in PEMDAS, implied multiplication (like 3(2)) has the same priority as regular multiplication. After solving (1+1) = 2, you must work left to right through division and multiplication.

What does the colon (:) symbol mean in math?

+

The colon (:) is the division symbol in many countries! So 12:3 12:3 means the same as 12÷3 12 \div 3 or 123 \frac{12}{3} .

How do I remember to go left to right?

+

Think of reading! Just like you read words from left to right, solve multiplication and division from left to right. Don't jump around - stay in order.

Is 3(2) really the same as 3 × 2?

+

Yes! When a number touches parentheses with no symbol between them, it means multiplication. So 3(2), 3 × 2, and 3 · 2 all mean exactly the same thing.

What if I get confused about the order?

+

Write out PEMDAS on your paper: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Check off each step as you go!

🌟 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