Find the Missing Operator: Solve 360 ? 360 = 1

Q: Why doesn't subtraction work if both numbers are the same?

Subtraction gives zero, not one! When you subtract any number from itself, you get 0. Since we need a result of 1, subtraction is incorrect.

Q: How do I remember that any number divided by itself equals 1?

Think of it as sharing equally: if you have 360 items and divide them into 360 equal groups, each group gets exactly 1 item!

Q: What if the numbers were different, like 720 ÷ 360?

Then division would give $ \frac{720}{360} = 2 $, not 1. The equal numbers rule only works when both numbers are identical.

Q: Could multiplication ever give an answer of 1?

Yes, but only with special numbers! For example, $ \frac{1}{2} \times 2 = 1 $. However, $ 360 \times 360 = 129,600 $, which is much larger than 1.

Q: How do I quickly test all four operations?

Addition: 360 + 360 = 720Subtraction: 360 - 360 = 0Multiplication: 360 × 360 = 129,600Division: 360 ÷ 360 = 1 ✓

Division Recognition with Equal Numbers

Choose the correct sign (?):

$360\text{?}360=1$

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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

00:03 Let’s calculate each possibility and select the correct one

00:08 Since addition increases the number, it isn’t the correct operation here

00:18 Any number subtracted from itself equals 0, so subtraction isn’t suitable here.

00:31 Since multiplying increases the value, this operation is not suitable.

00:44 Any number divided by itself equals 1, so division is the correct operation here.

00:53 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 (?):

$360\text{?}360=1$

Step-by-step solution

To determine which sign makes the expression true, we will evaluate each arithmetic operation between $360$ and $360$ to see which gives a result of $1$ .

Step 1: Consider addition: $360 + 360 = 720$ , which is not equal to $1$ .
Step 2: Consider subtraction: $360 - 360 = 0$ , which is not equal to $1$ .
Step 3: Consider multiplication: $360 \times 360 = 129600$ , which is also not equal to $1$ .
Step 4: Consider division: $\frac{360}{360} = 1$

Among these operations, only division satisfies the condition $360 \text{?} 360 = 1$ as $\frac{360}{360} = 1$ .

Therefore, the correct operation is division, represented by the symbol :.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Division Rule: Any number divided by itself equals one
Technique: Test each operation: $360 ÷ 360 = 1$
Check: Verify division gives 1 while other operations give different results ✓

Common Mistakes

Avoid these frequent errors

Choosing subtraction because the numbers are equal
Don't pick subtraction just because 360 - 360 = 0! Zero is not equal to 1, so this creates a false equation. Always test what each operation actually produces and compare to the target result.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

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

Subtraction gives zero, not one! When you subtract any number from itself, you get 0. Since we need a result of 1, subtraction is incorrect.

How do I remember that any number divided by itself equals 1?

Think of it as sharing equally: if you have 360 items and divide them into 360 equal groups, each group gets exactly 1 item!

What if the numbers were different, like 720 ÷ 360?

Then division would give $\frac{720}{360} = 2$ , not 1. The equal numbers rule only works when both numbers are identical.

Could multiplication ever give an answer of 1?

Yes, but only with special numbers! For example, $\frac{1}{2} \times 2 = 1$ . However, $360 \times 360 = 129,600$ , which is much larger than 1.

How do I quickly test all four operations?

Addition: 360 + 360 = 720
Subtraction: 360 - 360 = 0
Multiplication: 360 × 360 = 129,600
Division: 360 ÷ 360 = 1 ✓

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