Solve the Division Problem: Calculate 10:10

Q: Why isn't the answer 0 since 10 - 10 = 0?

Great question! Division is not the same as subtraction. When we write $ 10 \div 10 $, we're asking 'how many groups of 10 can we make from 10?' The answer is exactly one group.

Q: What does the identity property mean?

The identity property of division says that any number divided by itself always equals 1. Think of it like this: if you have 10 cookies and divide them equally among 10 people, each person gets 1 cookie!

Q: Does this work with any number?

Yes! Any non-zero number divided by itself equals 1. So $ 5 \div 5 = 1 $, $ 100 \div 100 = 1 $, and even $ 0.5 \div 0.5 = 1 $!

Q: What about 0 ÷ 0?

$ 0 \div 0 $ is undefined in mathematics. The identity property only works with non-zero numbers. Zero has special division rules that are different!

Q: How can I remember this rule?

Think of sharing: if you have 10 items to share equally among 10 people, each person gets exactly 1 item. The number of items per person is always 1 when the total equals the number of people!

Division Identity with Same Numbers

$10:10=$

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Step-by-step video solution

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00:00 Solve

00:03 Any number divided by itself always equals 1

00:12 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

$10:10=$

Step-by-step solution

To solve this problem, we'll apply the identity property of division, which states that any non-zero number divided by itself equals 1.

Step 1: Identify the numbers: $10 \div 10$ .
Step 2: Apply the identity property: $(10 \div 10 = 1)$ .

Applying this property, we find that dividing 10 by 10 results in 1:

$10 \div 10 = 1$

Therefore, the solution to the problem is $1$ , which corresponds to choice 3.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any non-zero number divided by itself equals 1
Technique: Recognize $10 \div 10$ as the identity property
Check: Verify that $1 \times 10 = 10$ ✓

Common Mistakes

Avoid these frequent errors

Thinking division means subtraction
Don't subtract and think 10 - 10 = 0! This confuses subtraction with division and gives the wrong operation. Always remember division asks 'how many groups' not 'what's left over'.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 0 since 10 - 10 = 0?

Great question! Division is not the same as subtraction. When we write $10 \div 10$ , we're asking 'how many groups of 10 can we make from 10?' The answer is exactly one group.

What does the identity property mean?

The identity property of division says that any number divided by itself always equals 1. Think of it like this: if you have 10 cookies and divide them equally among 10 people, each person gets 1 cookie!

Does this work with any number?

Yes! Any non-zero number divided by itself equals 1. So $5 \div 5 = 1$ , $100 \div 100 = 1$ , and even $0.5 \div 0.5 = 1$ !

What about 0 ÷ 0?

$0 \div 0$ is undefined in mathematics. The identity property only works with non-zero numbers. Zero has special division rules that are different!

How can I remember this rule?

Think of sharing: if you have 10 items to share equally among 10 people, each person gets exactly 1 item. The number of items per person is always 1 when the total equals the number of people!

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