Solve the Equation: Find the Missing Number in ?-0=100

Q: Why doesn't subtracting zero change the number?

The Identity Property of Subtraction states that any number minus zero equals the original number. Think of it like taking away nothing - you still have everything you started with!

Q: Is this the same as adding zero?

Yes! Both adding zero and subtracting zero leave the original number unchanged. These are examples of identity operations in mathematics.

Q: What if the equation was 0 - ? = 100 instead?

That would be completely different! Then you'd have $ 0 - ? = 100 $, which means $ ? = -100 $. The order matters in subtraction.

Q: How can I remember this property?

Think of subtraction as "taking away". If you take away zero (nothing), you haven't changed what you have. It's like removing zero cookies from a jar - the jar stays the same!

Q: Are there other numbers that work like zero?

Not for subtraction! Only zero has this special property. However, multiplying by 1 or dividing by 1 also leaves numbers unchanged - these are other identity properties.

Identity Property with Zero Subtraction

$?-0=100$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:04 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

$?-0=100$

Step-by-step solution

To solve this problem, we need to understand the properties of zero. Specifically, when zero is subtracted from any number, the original number remains unchanged.

Let's apply this understanding to our problem:

Step 1: Set up the equation based on the problem statement:

$x - 0 = 100$

Step 2: Recognize that subtracting zero does not change the value of $x$ :

$x = 100$

This shows that the number we were looking for is 100.

Therefore, the solution to the problem is $100$ .

Final Answer

100

Key Points to Remember

Essential concepts to master this topic

Zero Property: Subtracting zero from any number leaves it unchanged
Technique: Replace ? - 0 with just ? to get ? = 100
Check: Substitute back: 100 - 0 = 100 ✓

Common Mistakes

Avoid these frequent errors

Overthinking the zero subtraction
Don't try to solve ? - 0 = 100 by adding zero to both sides = ? = 100 + 0! This creates unnecessary work and potential errors. Always recognize that subtracting zero changes nothing, so ? directly equals 100.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't subtracting zero change the number?

The Identity Property of Subtraction states that any number minus zero equals the original number. Think of it like taking away nothing - you still have everything you started with!

Is this the same as adding zero?

Yes! Both adding zero and subtracting zero leave the original number unchanged. These are examples of identity operations in mathematics.

What if the equation was 0 - ? = 100 instead?

That would be completely different! Then you'd have $0 - ? = 100$ , which means $? = -100$ . The order matters in subtraction.

How can I remember this property?

Think of subtraction as "taking away". If you take away zero (nothing), you haven't changed what you have. It's like removing zero cookies from a jar - the jar stays the same!

Are there other numbers that work like zero?

Not for subtraction! Only zero has this special property. However, multiplying by 1 or dividing by 1 also leaves numbers unchanged - these are other identity properties.

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