Solve the Sequential Division: 0:(20:2) Step-by-Step

Q: Why do parentheses matter so much in this problem?

Parentheses tell you exactly what to calculate first! Without following this order, you might try to divide 0 by 20 instead of dividing 0 by 10, leading to confusion.

Q: Is zero divided by any number always zero?

Yes! When you divide zero by any non-zero number, the result is always zero. Think of it as: How many groups of 10 can you make from 0 items? Zero groups!

Q: What if I calculated 0:20 instead of following the parentheses?

You'd still get 0 as the answer, but that's just coincidence! The correct method matters because in other problems, ignoring parentheses will give you wrong answers.

Q: Can I ever divide by zero?

Never! Division by zero is undefined in mathematics. But dividing zero by another number (like in this problem) is perfectly fine and always equals zero.

Q: How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Always do what's in parentheses first!

Order of Operations with Zero Division

$0:(20:2)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve parentheses first

00:10 0 divided by any number is always equal to 0

00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0:(20:2)=$

Step-by-step solution

To solve this problem, we will follow the order of operations carefully:

First, evaluate the expression inside the parentheses: $20:2$ .
This calculation equals $10$ since $20 \div 2 = 10$ .
Next, evaluate the outer expression using this result: $0:10$ .
Recall that dividing zero by any non-zero number results in zero.

Carrying out the division, $0 \div 10 = 0$ .

Therefore, the solution to the problem is $0$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Always evaluate expressions inside parentheses first
Technique: Calculate $20:2 = 10$ , then $0:10 = 0$
Check: Any number divided into zero always equals zero ✓

Common Mistakes

Avoid these frequent errors

Evaluating operations left to right without considering parentheses
Don't calculate 0:20 first and get confused = wrong approach! This ignores the order of operations and leads to incorrect results. Always solve what's in parentheses first, then work outward.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why do parentheses matter so much in this problem?

Parentheses tell you exactly what to calculate first! Without following this order, you might try to divide 0 by 20 instead of dividing 0 by 10, leading to confusion.

Is zero divided by any number always zero?

Yes! When you divide zero by any non-zero number, the result is always zero. Think of it as: How many groups of 10 can you make from 0 items? Zero groups!

What if I calculated 0:20 instead of following the parentheses?

You'd still get 0 as the answer, but that's just coincidence! The correct method matters because in other problems, ignoring parentheses will give you wrong answers.

Can I ever divide by zero?

Never! Division by zero is undefined in mathematics. But dividing zero by another number (like in this problem) is perfectly fine and always equals zero.

How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Always do what's in parentheses first!

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