Solve '20-0÷4×3+1': Order of Operations Practice

Order of Operations with Zero Division

Solve the following:

200:43+1= 20-0:4\cdot3+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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following:

200:43+1= 20-0:4\cdot3+1=

2

Step-by-step solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses take priority over all.

According to the above order of operations, multiplication and division come before addition and subtraction, so we'll start by calculating the value of the second term from the left in the expression. Then we'll perform the addition and subtraction operations.

Since there is no precedence between multiplication and division, we'll perform the division and multiplication operation from left to right:

200:43+1=2003+1=200+1=21 20-0:4\cdot3+1= \\ 20-0\cdot3+1=\\ 20-0+1=\\ 21

In the first stage, we recalled how dividing 0 by any number (other than zero) will always yield the result 0. Then we remembered that multiplying 0 by any number will always yield the result 0.

Therefore, the correct answer is answer B.

3

Final Answer

21

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication before addition and subtraction
  • Technique: Calculate 0÷4×3=0×3=0 0÷4×3 = 0×3 = 0 from left to right
  • Check: Verify final calculation: 200+1=21 20-0+1 = 21

Common Mistakes

Avoid these frequent errors
  • Working left to right without considering order of operations
    Don't calculate 20-0÷4×3+1 as (20-0)÷4×3+1 = 60! This ignores PEMDAS and gives wrong results. Always handle multiplication and division first, then addition and subtraction from left to right.

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 calculate 0÷4×3 before subtracting from 20?

+

Because of PEMDAS! Division and multiplication have higher priority than subtraction and addition. You must complete all multiplication and division operations first, working from left to right.

What happens when I divide zero by any number?

+

Zero divided by any non-zero number equals zero. So 0÷4=0 0÷4 = 0 , 0÷100=0 0÷100 = 0 , etc. This is a fundamental property of zero!

Does it matter that I multiply zero by 3?

+

Yes, but zero times any number is always zero. So 0×3=0 0×3 = 0 . Even though we follow order of operations, the result involving zero stays zero.

How do I remember the order of operations?

+

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally!"

What if I calculated 20-0÷4 first?

+

That would be wrong! You'd get 20×3+1=61 20×3+1 = 61 instead of 21. Never break up multiplication/division chains - complete them entirely before moving to addition/subtraction.

🌟 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