Solve Division Problem: 0 ÷ 650 - Step by Step Solution

Q: Why isn't the answer 650 or some other number?

When you divide zero by any non-zero number, you're asking "how many groups of 650 can I make from 0 items?" The answer is always zero groups, so $ 0 \div 650 = 0 $.

Q: What's the difference between 0 ÷ 650 and 650 ÷ 0?

Huge difference! $ 0 \div 650 = 0 $ (zero divided by a number), but $ 650 \div 0 $ is undefined (division by zero is impossible).

Q: Does the size of the denominator matter?

Not at all! Whether it's $ 0 \div 2 $, $ 0 \div 100 $, or $ 0 \div 650 $, the answer is always zero as long as you're not dividing by zero.

Q: How can I remember this rule?

Think of it like sharing: if you have 0 cookies to share among 650 people, each person gets 0 cookies. Zero divided by anything (except zero) is always zero!

Q: Can I check my answer?

Yes! Use multiplication to check: $ 0 \times 650 = 0 $. Since division and multiplication are opposite operations, this confirms our answer is correct.

Division by Zero Property with Large Numbers

$0:650=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together.

00:06 Zero divided by any number, is always zero.

00:10 And that's how you find the solution to this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0:650=$

Step-by-step solution

To solve this problem, we will apply the basic property of division involving zero:

The division property of zero states that if zero is divided by any non-zero number, the result is zero.

Let's go through the steps:

Step 1: We are given the division operation $0 \div 650$ .

Step 2: According to the division property of zero, $0 \div 650 = 0$ .

Even though the denominator is relatively large, the rule states that as long as the denominator is a non-zero value, the division of zero by this number will always be zero.

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

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Zero divided by any non-zero number always equals zero
Technique: Apply $0 \div 650 = 0$ regardless of denominator size
Check: Verify by multiplication: $0 \times 650 = 0$ ✓

Common Mistakes

Avoid these frequent errors

Confusing zero in numerator vs denominator
Don't think 0 ÷ 650 = 650 or undefined! This confuses division BY zero (undefined) with division OF zero (always zero). Always remember: zero divided by any non-zero number equals zero.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 650 or some other number?

When you divide zero by any non-zero number, you're asking "how many groups of 650 can I make from 0 items?" The answer is always zero groups, so $0 \div 650 = 0$ .

What's the difference between 0 ÷ 650 and 650 ÷ 0?

Huge difference! $0 \div 650 = 0$ (zero divided by a number), but $650 \div 0$ is undefined (division by zero is impossible).

Does the size of the denominator matter?

Not at all! Whether it's $0 \div 2$ , $0 \div 100$ , or $0 \div 650$ , the answer is always zero as long as you're not dividing by zero.

How can I remember this rule?

Think of it like sharing: if you have 0 cookies to share among 650 people, each person gets 0 cookies. Zero divided by anything (except zero) is always zero!

Can I check my answer?

Yes! Use multiplication to check: $0 \times 650 = 0$ . Since division and multiplication are opposite operations, this confirms our answer is correct.

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