Solve the Division Problem: 0 ÷ 700 = ?

Q: Why is 0 ÷ 700 equal to 0 and not undefined?

Because zero is the dividend (the number being divided), not the divisor! When you divide zero by any non-zero number, you're asking "how many groups of 700 can fit into 0?" The answer is zero groups.

Q: What's the difference between 0 ÷ 700 and 700 ÷ 0?

$ 0 \div 700 = 0 $ (zero divided by a number = zero), but $ 700 \div 0 $ is undefined (dividing by zero is impossible). The position of zero matters!

Q: How can I remember this rule?

Think of it as sharing: If you have 0 cookies to share among 700 people, each person gets 0 cookies. But if you have 700 cookies to share among 0 people, that's impossible!

Q: Does this work with any number instead of 700?

Yes! Zero divided by any non-zero number always equals zero. Whether it's $ 0 \div 5 $, $ 0 \div 1000 $, or $ 0 \div 0.5 $, the answer is always 0.

Q: How do I check if my answer is correct?

Use multiplication to verify: $ 700 \times 0 = 0 $ ✓. If your answer times the divisor equals the dividend, you're correct!

Division Properties with Zero as Dividend

$0:700=$

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Step-by-step video solution

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00:00 Solve

00:03 0 divided by any number is always equal to 0

00:08 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$0:700=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the numbers involved in the division.
Step 2: Apply the division property of zero to the numbers.

Now, let's work through each step:
Step 1: We have the dividend as $0$ and divisor as $700$ .
Step 2: According to the property of division, dividing zero by any non-zero number results in zero. Therefore, we apply this property and get:
$\frac{0}{700} = 0$

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

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Rule: Zero divided by any non-zero number equals zero
Technique: Apply $\frac{0}{700} = 0$ using division property
Check: Verify by multiplication: $0 = 700 \times 0$ ✓

Common Mistakes

Avoid these frequent errors

Confusing zero as dividend with zero as divisor
Don't think 0 ÷ 700 is undefined like 700 ÷ 0 = undefined! Zero as dividend always gives zero, but zero as divisor is undefined. Always remember: zero divided BY a number equals zero, but dividing BY zero is impossible.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why is 0 ÷ 700 equal to 0 and not undefined?

Because zero is the dividend (the number being divided), not the divisor! When you divide zero by any non-zero number, you're asking "how many groups of 700 can fit into 0?" The answer is zero groups.

What's the difference between 0 ÷ 700 and 700 ÷ 0?

$0 \div 700 = 0$ (zero divided by a number = zero), but $700 \div 0$ is undefined (dividing by zero is impossible). The position of zero matters!

How can I remember this rule?

Think of it as sharing: If you have 0 cookies to share among 700 people, each person gets 0 cookies. But if you have 700 cookies to share among 0 people, that's impossible!

Does this work with any number instead of 700?

Yes! Zero divided by any non-zero number always equals zero. Whether it's $0 \div 5$ , $0 \div 1000$ , or $0 \div 0.5$ , the answer is always 0.

How do I check if my answer is correct?

Use multiplication to verify: $700 \times 0 = 0$ ✓. If your answer times the divisor equals the dividend, you're correct!

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