Solve the Division Equation: Finding the Number That Makes 36 ÷ ? = 1

Q: Why isn't the answer 1 if that's what the division equals?

The 1 is the result of the division, not the number we're dividing by! We need to find what number, when 36 is divided by it, gives us 1 as the answer.

Q: How do I remember that any number divided by itself equals 1?

Think of sharing: if you have 36 cookies and divide them into 36 equal groups, each group gets exactly 1 cookie. That's why $ 36 \div 36 = 1 $!

Q: What if I wrote this as a fraction instead?

Great thinking! $ 36 \div ? = 1 $ is the same as $ \frac{36}{?} = 1 $. When a fraction equals 1, the numerator and denominator must be equal.

Q: Does this work with other numbers too?

Absolutely! Any non-zero number divided by itself equals 1. So $ 5 \div 5 = 1 $, $ 100 \div 100 = 1 $, and $ 2.5 \div 2.5 = 1 $.

Q: What happens if we divide by 0?

Division by zero is undefined! We can never divide any number by 0, so always make sure your divisor (the number you're dividing by) is not zero.

Division Equations with Self-Division Property

$36:?=1$

❤️ 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 Find the unknown

00:03 Any number divided by itself always equals 1

00:08 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

$36:?=1$

Step-by-step solution

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

Step 1: Recognize the equation structure.
Step 2: Apply the division property correctly.

Now, let's work through each step:

Step 1: The given equation is $36 : ? = 1$ . This is a simplified notation of the division equation $36 \div x = 1$ where $x$ is the unknown we need to find.

Step 2: Apply the property of division by itself. We know that dividing any non-zero number by itself will result in 1. Therefore, the number in the place of $?$ must be 36 because $36 \div 36 = 1$ .

Therefore, the solution to the problem is $36$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Property: Any non-zero number divided by itself equals 1
Technique: Rewrite $36 \div ? = 1$ to find missing divisor
Check: Verify that $36 \div 36 = 1$ is true ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 1 because 1 appears on the right side
Don't assume the missing number equals 1 just because the result is 1! This confuses the divisor with the quotient and gives the wrong answer. Always ask yourself: what number do I divide 36 by to get 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 1 if that's what the division equals?

The 1 is the result of the division, not the number we're dividing by! We need to find what number, when 36 is divided by it, gives us 1 as the answer.

How do I remember that any number divided by itself equals 1?

Think of sharing: if you have 36 cookies and divide them into 36 equal groups, each group gets exactly 1 cookie. That's why $36 \div 36 = 1$ !

What if I wrote this as a fraction instead?

Great thinking! $36 \div ? = 1$ is the same as $\frac{36}{?} = 1$ . When a fraction equals 1, the numerator and denominator must be equal.

Does this work with other numbers too?

Absolutely! Any non-zero number divided by itself equals 1. So $5 \div 5 = 1$ , $100 \div 100 = 1$ , and $2.5 \div 2.5 = 1$ .

What happens if we divide by 0?

Division by zero is undefined! We can never divide any number by 0, so always make sure your divisor (the number you're dividing by) is not zero.

🌟 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