Solve the Division Problem: Calculate 76 ÷ 1

Q: Why does any number divided by 1 stay the same?

Think of division as sharing equally! When you have 76 items to share among 1 person, that person gets all 76 items. So $ 76 \div 1 = 76 $.

Q: Is this the same for all numbers, even decimals and fractions?

Yes! The identity property works for all numbers. Whether it's $ 3.5 \div 1 = 3.5 $ or $ \frac{2}{3} \div 1 = \frac{2}{3} $, dividing by 1 never changes the number.

Q: How is this different from multiplying by 1?

Great observation! Both multiplying by 1 and dividing by 1 leave numbers unchanged. They're both examples of identity properties in math.

Q: What if I accidentally wrote 1 ÷ 76 instead?

That's completely different! $ 1 \div 76 = \frac{1}{76} $ (a tiny fraction), while $ 76 \div 1 = 76 $. Always check which number comes first!

Q: Can I use this property to check my division problems?

Absolutely! If you get confused with harder division, remember that anything divided by 1 equals itself. This can help you spot obvious mistakes in your calculations.

Division by One with Whole Numbers

$76:1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Any number divided by 1 is always equal to itself

00:07 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

$76:1=$

Step-by-step solution

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

Step 1: Understand the operation required, which is division.
Step 2: Recall the property of division by 1.
Step 3: Apply the property to find the result.

Now, let's work through each step:
Step 1: The problem asks us to divide 76 by 1, given as $76 \div 1$ .
Step 2: We recall the property that any number divided by 1 remains unchanged. Mathematically, for any number $a$ , $a \div 1 = a$ .
Step 3: Applying this to our problem, $76 \div 1 = 76$ .

Therefore, the solution to the problem is $76$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Any number divided by 1 equals itself unchanged
Technique: Apply identity property: $76 \div 1 = 76$
Check: Multiply result by divisor: $76 \times 1 = 76$ ✓

Common Mistakes

Avoid these frequent errors

Confusing division by 1 with division by the number itself
Don't think $76 \div 1 = 1$ or try to divide 76 by 76! This confuses the dividend with the divisor and gives completely wrong answers. Always remember that dividing by 1 leaves the original number unchanged.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does any number divided by 1 stay the same?

Think of division as sharing equally! When you have 76 items to share among 1 person, that person gets all 76 items. So $76 \div 1 = 76$ .

Is this the same for all numbers, even decimals and fractions?

Yes! The identity property works for all numbers. Whether it's $3.5 \div 1 = 3.5$ or $\frac{2}{3} \div 1 = \frac{2}{3}$ , dividing by 1 never changes the number.

How is this different from multiplying by 1?

Great observation! Both multiplying by 1 and dividing by 1 leave numbers unchanged. They're both examples of identity properties in math.

What if I accidentally wrote 1 ÷ 76 instead?

That's completely different! $1 \div 76 = \frac{1}{76}$ (a tiny fraction), while $76 \div 1 = 76$ . Always check which number comes first!

Can I use this property to check my division problems?

Absolutely! If you get confused with harder division, remember that anything divided by 1 equals itself. This can help you spot obvious mistakes in your calculations.

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