Solve the Subtraction Problem: 82-0 = ?

Q: Why doesn't 82 - 0 equal 8 or 2?

Subtraction means taking away. When you take away 0 from 82, you're not removing anything, so 82 stays as 82. The digits 8 and 2 are just parts of the number 82.

Q: Is subtracting zero the same as adding zero?

Yes! Both $ 82 - 0 $ and $ 82 + 0 $ equal 82. This is called the identity property - adding or subtracting zero doesn't change the original number.

Q: Does this work with any number?

Absolutely! Whether it's $ 5 - 0 $, $ 123 - 0 $, or even $ 0 - 0 $, subtracting zero always leaves the original number unchanged.

Q: How is this different from 0 - 82?

Be careful with order! $ 82 - 0 = 82 $, but $ 0 - 82 = -82 $. In subtraction, the order matters - we subtract the second number from the first.

Q: Why do I need to learn this if it's so simple?

This identity property is fundamental! You'll use it in algebra, when solving equations, and in more complex problems. Understanding it now builds a strong foundation for harder math.

Subtraction with Zero Identity Property

$82-0=$

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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 minus 0 equals the number itself

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

$82-0=$

Step-by-step solution

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

Understand the operation: We are performing subtraction of 0 from 82.
Recall the subtraction identity property: The property states that subtracting 0 from a number does not change its value.
Apply this property to our problem: Since we have $82 - 0$ , the answer remains 82.

Now, let's go through the solution:
By the subtraction identity property, subtracting 0 from any number results in the original number. Thus, we have:
$82 - 0 = 82$

Therefore, the solution to the problem is $82$ , which corresponds to choice 2.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Subtracting zero from any number leaves it unchanged
Technique: For 82 - 0, the answer stays 82
Check: Verify that 82 - 0 equals 82, not 8 or 2 ✓

Common Mistakes

Avoid these frequent errors

Confusing subtraction with division or other operations
Don't think 82 - 0 becomes 8 or 2 by removing digits! This ignores the subtraction operation entirely. Always remember that subtracting zero means taking nothing away, so the number stays exactly the same.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't 82 - 0 equal 8 or 2?

Subtraction means taking away. When you take away 0 from 82, you're not removing anything, so 82 stays as 82. The digits 8 and 2 are just parts of the number 82.

Is subtracting zero the same as adding zero?

Yes! Both $82 - 0$ and $82 + 0$ equal 82. This is called the identity property - adding or subtracting zero doesn't change the original number.

Does this work with any number?

Absolutely! Whether it's $5 - 0$ , $123 - 0$ , or even $0 - 0$ , subtracting zero always leaves the original number unchanged.

How is this different from 0 - 82?

Be careful with order! $82 - 0 = 82$ , but $0 - 82 = -82$ . In subtraction, the order matters - we subtract the second number from the first.

Why do I need to learn this if it's so simple?

This identity property is fundamental! You'll use it in algebra, when solving equations, and in more complex problems. Understanding it now builds a strong foundation for harder math.

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