Find the Operation Sign: Solving 110 ? 110 = 0

Q: Could there be more than one correct operation?

No! In this type of problem, only one operation will make the equation true. Test each one systematically until you find the one that gives the correct result.

Q: What if the numbers were different, like 110 ? 50 = 60?

Then you'd still test each operation! You'd find that $ 110 - 50 = 60 $, so subtraction would be correct. Always check all possibilities to be sure.

Q: Why does subtraction always give zero when numbers are identical?

This follows the zero property: any number minus itself equals zero. It's like saying "I have 110 apples, I give away 110 apples, so I have 0 apples left."

Q: Do I need to memorize which operations give zero?

Not really! Just remember that subtraction of equal numbers = 0. For other situations, it's best to calculate and check rather than guess.

Operation Identification with Zero Results

Choose the correct sign (?):

$110\text{?}110=0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine which operation(s) are correct

00:03 Calculate each possibility and select the correct one

00:09 Let's use long addition for calculation

00:14 Adding means increasing the number, so it's definitely not suitable

00:17 Let's use long multiplication for calculation

00:48 Multiplying the number means increasing it, so it's not suitable

01:01 Any number divided by itself always equals 1, not suitable

01:15 Let's use long subtraction for calculation

01:25 Any number minus itself always equals 0, suitable

01:30 This is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the correct sign (?):

$110\text{?}110=0$

Step-by-step solution

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

Step 1: Identify the given numbers and equation structure.
Step 2: Analyze each potential operation to see which one results in zero.

Now, let's work through each step:

Step 1: The given equation is $110 \text{?} 110 = 0$ . We need to find the correct operation between the two 110s to make the equation true.

Step 2: We consider the following operations:

Addition: $110 + 110 = 220$ , which is not equal to 0.
Multiplication: $110 \times 110 = 12100$ , which is not equal to 0.
Division: $110 \div 110 = 1$ , which is not equal to 0.
Subtraction: $110 - 110 = 0$ , which is equal to 0.

Upon analyzing these operations, subtraction is the only operation that satisfies the equation $110 - 110 = 0$ .

Therefore, the correct sign to use is $-$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number minus itself always equals zero
Process: Test each operation: $110 - 110 = 0$
Verify: Check that subtraction gives zero while other operations don't ✓

Common Mistakes

Avoid these frequent errors

Choosing multiplication because both numbers are the same
Don't think multiplication works just because the numbers match = $110 \times 110 = 12100$ , not 0! Same numbers don't guarantee zero with multiplication. Always test each operation to see which one actually produces zero.

Practice Quiz

Test your knowledge with interactive questions

$$ 2+0= $$

FAQ

Everything you need to know about this question

Why doesn't division work if both numbers are the same?

When you divide any number by itself, you get 1, not 0! For example: $110 \div 110 = 1$ . Division only gives zero when the numerator is zero.

Could there be more than one correct operation?

No! In this type of problem, only one operation will make the equation true. Test each one systematically until you find the one that gives the correct result.

What if the numbers were different, like 110 ? 50 = 60?

Then you'd still test each operation! You'd find that $110 - 50 = 60$ , so subtraction would be correct. Always check all possibilities to be sure.

Why does subtraction always give zero when numbers are identical?

This follows the zero property: any number minus itself equals zero. It's like saying "I have 110 apples, I give away 110 apples, so I have 0 apples left."

Do I need to memorize which operations give zero?

Not really! Just remember that subtraction of equal numbers = 0. For other situations, it's best to calculate and check rather than guess.

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