Evaluate the Expression: 0+100?100-0 Step-by-Step

Q: What does the ? symbol mean in this problem?

The ? symbol is asking you to choose the correct comparison operator. You need to pick between to make a true mathematical statement.

Q: Do I need to do anything special with zero?

Remember the zero properties: adding zero to any number doesn't change it, and subtracting zero from any number doesn't change it either. So 0+100=100 and 100-0=100.

Q: How do I know which symbol to choose?

First calculate both sides completely. Then compare the results: if left side right side, use >.

Q: What if the numbers were different?

The same process works! For example, if you had $ 0+50?100-0 $, you'd get 50 vs 100, so the answer would be 50 is less than 100.

Q: Is this the same as solving an equation?

No! This is a comparison problem. You're not finding an unknown value, you're determining which comparison symbol makes the statement true.

Comparison Operations with Zero Properties

$0+100?100-0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Identify the correct mathematical sign

00:04 Any number plus 0 always equals the number itself

00:10 Any number minus 0 always equals the number itself

00:16 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0+100?100-0$

Step-by-step solution

To solve this problem, we need to evaluate both sides of the expression separately.

First, consider the left side of the expression:

This can be written as $0 + 100$ .

Since adding zero to any number does not change the number, this simplifies to:

$0 + 100 = 100$ .

Next, consider the right side of the expression:

This is $100 - 0$ .

Since subtracting zero from any number does not change the number, this simplifies to:

$100 - 0 = 100$ .

Now, we compare both sides of the expression:

The left side is 100, and the right side is also 100.

Since both sides are equal, the correct symbol to place between them is:

$100 = 100$

Thus, the appropriate choice is "=" for the question:

The correct answer to the given problem is:

$=$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Rule: Adding or subtracting zero leaves any number unchanged
Technique: Evaluate each side separately: 0+100=100 and 100-0=100
Check: Compare final values to determine correct symbol: 100=100 ✓

Common Mistakes

Avoid these frequent errors

Trying to solve for an unknown variable
Don't treat the ? as a variable to solve for = confusion about the problem type! This is asking you to compare two expressions, not solve an equation. Always evaluate each side completely first, then choose the correct comparison symbol (<, =, or >).

Practice Quiz

Test your knowledge with interactive questions

$$ 2+0= $$

FAQ

Everything you need to know about this question

What does the ? symbol mean in this problem?

The ? symbol is asking you to choose the correct comparison operator. You need to pick between <, =, or > to make a true mathematical statement.

Do I need to do anything special with zero?

Remember the zero properties: adding zero to any number doesn't change it, and subtracting zero from any number doesn't change it either. So 0+100=100 and 100-0=100.

How do I know which symbol to choose?

First calculate both sides completely. Then compare the results: if left side < right side, use <. If they're equal, use =. If left side > right side, use >.

What if the numbers were different?

The same process works! For example, if you had $0+50?100-0$ , you'd get 50 vs 100, so the answer would be < since 50 is less than 100.

Is this the same as solving an equation?

No! This is a comparison problem. You're not finding an unknown value, you're determining which comparison symbol makes the statement true.

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