Find the Missing Mathematical Sign in 360?360=0

Q: Why doesn't 360 × 360 equal zero?

Multiplication only gives zero when at least one factor is zero. Since 360 × 360 = 129,600, both numbers are non-zero, so the result is definitely not zero!

Q: Is subtraction the only operation that gives zero?

With identical non-zero numbers, yes! But remember: 0 + 0 = 0, 0 - 0 = 0, 0 × anything = 0. The key is having zero somewhere in the calculation.

Q: How can I remember which operation to choose?

Test each option systematically: Start with addition, then subtraction, multiplication, and division. Calculate each result and see which one matches the target answer.

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

Then none of these operations would give zero! You'd need 500 - 500 = 0 or 360 - 360 = 0. Only identical numbers can subtract to give zero.

Arithmetic Operations with Identical Numbers

Choose the correct sign (?):

$360?360=0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Identify the suitable operations

00:03 Review all possible operations and identify the correct one(s)

00:07 We'll use long addition for calculation

00:12 Adding increases the number, so it cannot be the correct choice in this case

00:28 We'll use long multiplication for calculation

01:32 Multiplying a number means increasing it, therefore it's not suitable

01:45 We'll use long subtraction for calculation

01:55 Any number minus itself always equals 0, suitable

02:08 Any number divided by itself always equals 1, not suitable

02:16 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 (?):

$360?360=0$

Step-by-step solution

To solve this problem, we'll determine which arithmetic operation, when applied to two numbers (360), results in zero. Here, we consider the basic arithmetic operations: addition, subtraction, multiplication, and division.

Addition: $360 + 360 = 720$ , which is not zero.
Subtraction: $360 - 360 = 0$ . This operation results in zero, satisfying the condition.
Multiplication: $360 \times 360 = 129600$ , not zero.
Division: $360 \div 360 = 1$ , again not zero.

Thus, subtraction between two identical numbers results directly in zero. This confirms that the correct operation is subtraction.

Therefore, the correct sign is $-$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number minus itself always equals zero
Technique: Test each operation: $360 - 360 = 0$
Check: Verify all operations don't give zero: addition gives 720 ✓

Common Mistakes

Avoid these frequent errors

Assuming multiplication gives zero with identical numbers
Don't think 360 × 360 = 0 because both numbers are the same = actually gives 129,600! Only zero times any number equals zero. Always remember: identical numbers subtract to zero, but multiply to their square.

Practice Quiz

Test your knowledge with interactive questions

$$ 20:1= $$

FAQ

Everything you need to know about this question

Why doesn't 360 × 360 equal zero?

Multiplication only gives zero when at least one factor is zero. Since 360 × 360 = 129,600, both numbers are non-zero, so the result is definitely not zero!

What about division - why doesn't 360 ÷ 360 = 0?

When you divide any number by itself (except zero), you always get 1. Think of it as: how many 360s fit into 360? Exactly one time!

Is subtraction the only operation that gives zero?

With identical non-zero numbers, yes! But remember: 0 + 0 = 0, 0 - 0 = 0, 0 × anything = 0. The key is having zero somewhere in the calculation.

How can I remember which operation to choose?

Test each option systematically: Start with addition, then subtraction, multiplication, and division. Calculate each result and see which one matches the target answer.

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

Then none of these operations would give zero! You'd need 500 - 500 = 0 or 360 - 360 = 0. Only identical numbers can subtract to give zero.

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