Solve: Finding the Difference Between 360 and 360

Q: Why can't it be division since 360 ÷ 360 = 1?

Great question! While $ 360 ÷ 360 = 1 $, we need the result to be zero, not one. Division of identical non-zero numbers always gives 1.

Q: What if the numbers were different, like 500 and 360?

If we had $ 500 ? 360 = 0 $, then no basic operation would work! Subtraction would give 140, not zero. We can only get zero when subtracting identical numbers.

Q: Could multiplication ever give zero?

Yes! Multiplication gives zero when at least one number is zero. For example: $ 5 × 0 = 0 $ or $ 0 × 100 = 0 $.

Q: Is there a quick way to know which operation gives zero?

Remember the Zero Rules:Subtraction: identical numbers give zeroMultiplication: any number times zero gives zeroAddition and division never give zero with positive numbers

Q: What does the colon symbol (:) mean in math?

The colon (:) represents division in many countries and textbooks. It's the same as the ÷ symbol. So $ 360 : 360 = 360 ÷ 360 = 1 $.

Basic Operations with Zero Results

$360 ? 360 = 0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Identify the correct operation

00:04 Apply each operation, compute, and determine which one gives the correct result

00:11 Let's use long addition

00:23 Since this operation doesn’t give the correct result, we’ll test the next option

00:31 Let's use long multiplication

01:23 Since this operation doesn’t give the correct result, we’ll test the next option

01:40 Let's use long subtraction

01:55 Since this operation is suitable, we can move on to the next

02:07 Let's write division as a fraction

02:10 Let's reduce wherever possible

02:17 This is the solution to the question

Step-by-step written solution

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Understand the problem

$360 ? 360 = 0$

Step-by-step solution

To solve this problem of determining which arithmetic operation between $360$ and $360$ results in $0$ , we consider the four basic operations: addition, subtraction, multiplication, and division.

Addition: $360 + 360 = 720$ , which is not zero.
Subtraction: $360 - 360 = 0$ , which matches the required result.
Multiplication: $360 \times 360 = 129,600$ , which is not zero.
Division: $360 \div 360 = 1$ , which is not zero.

The correct operation that results in zero is subtraction. Therefore, the correct answer is option 3: - .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number minus itself always equals zero
Technique: Test each operation: $360 - 360 = 0$
Check: Verify other operations don't work: addition gives 720, not 0 ✓

Common Mistakes

Avoid these frequent errors

Choosing addition because both numbers are the same
Don't think that identical numbers automatically mean addition = they give the largest result instead! Adding 360 + 360 = 720, which is far from zero. Always test what operation actually produces the target result.

Practice Quiz

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$1\times1000=$

FAQ

Everything you need to know about this question

Why can't it be division since 360 ÷ 360 = 1?

Great question! While $360 ÷ 360 = 1$ , we need the result to be zero, not one. Division of identical non-zero numbers always gives 1.

What if the numbers were different, like 500 and 360?

If we had $500 ? 360 = 0$ , then no basic operation would work! Subtraction would give 140, not zero. We can only get zero when subtracting identical numbers.

Could multiplication ever give zero?

Yes! Multiplication gives zero when at least one number is zero. For example: $5 × 0 = 0$ or $0 × 100 = 0$ .

Is there a quick way to know which operation gives zero?

Remember the Zero Rules:

Subtraction: identical numbers give zero
Multiplication: any number times zero gives zero
Addition and division never give zero with positive numbers

What does the colon symbol (:) mean in math?

The colon (:) represents division in many countries and textbooks. It's the same as the ÷ symbol. So $360 : 360 = 360 ÷ 360 = 1$ .

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