Solve Division Problem: Calculate 900 ÷ 900

Q: Why isn't the answer 0 when we divide?

Division and subtraction are different operations! When you subtract 900 - 900 = 0, but when you divide 900 ÷ 900 = 1. Think of it as how many times does 900 fit into 900? The answer is exactly 1 time.

Q: Would this work with any other numbers?

Yes! Any non-zero number divided by itself always equals 1. For example: 5 ÷ 5 = 1, 47 ÷ 47 = 1, or even 0.25 ÷ 0.25 = 1. This is a fundamental property of division.

Q: What happens if we divide 0 by 0?

Division by zero is undefined in mathematics, including 0 ÷ 0. Our rule $ a \div a = 1 $ only works when the number is not zero.

Q: How can I remember this rule?

Think about it practically: How many groups of 900 can you make from 900 items? You can make exactly one complete group! This helps you remember that identical numbers always divide to give 1.

Q: Is there a faster way to solve this?

Once you recognize the pattern $ a \div a $, you can immediately write 1 without doing any calculations. This saves time on tests and builds your number sense!

Division Operations with Identical Numbers

$900:900=$

❤️ 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

00:00 Solve

00:03 Any number divided by itself always equals 1

00:09 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

$900:900=$

Step-by-step solution

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

Step 1: Identify the division operation $900:900$
Step 2: Apply the property that any non-zero number divided by itself equals 1
Step 3: Evaluate the division to obtain the result

Now, let's work through these steps:
Step 1: Recognize that 900 is both the dividend and divisor.
Step 2: Use the property: Since 900 is not zero, the rule $a:a = 1$ where $a \neq 0$ applies here.
Step 3: Therefore, $900:900 = 1$ .

This corresponds with choice 3 in the given answer choices.

Therefore, the solution to the problem is $1$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Any non-zero number divided by itself equals 1
Technique: Apply $a \div a = 1$ when dividend equals divisor
Check: Verify 1 × 900 = 900 to confirm our answer ✓

Common Mistakes

Avoid these frequent errors

Dividing the digits instead of the whole numbers
Don't divide 9 ÷ 9 = 1 and think the answer is just 1 because of the digits! This ignores the place values and zeros. Always recognize that 900 ÷ 900 uses the complete numbers, where any number divided by itself equals 1.

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 when we divide?

Division and subtraction are different operations! When you subtract 900 - 900 = 0, but when you divide 900 ÷ 900 = 1. Think of it as how many times does 900 fit into 900? The answer is exactly 1 time.

Would this work with any other numbers?

Yes! Any non-zero number divided by itself always equals 1. For example: 5 ÷ 5 = 1, 47 ÷ 47 = 1, or even 0.25 ÷ 0.25 = 1. This is a fundamental property of division.

What happens if we divide 0 by 0?

Division by zero is undefined in mathematics, including 0 ÷ 0. Our rule $a \div a = 1$ only works when the number is not zero.

How can I remember this rule?

Think about it practically: How many groups of 900 can you make from 900 items? You can make exactly one complete group! This helps you remember that identical numbers always divide to give 1.

Is there a faster way to solve this?

Once you recognize the pattern $a \div a$ , you can immediately write 1 without doing any calculations. This saves time on tests and builds your number sense!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners 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