Solve the Addition Problem: Zero Plus 500

Q: Why doesn't adding zero change the number?

Zero means nothing or no amount. When you add nothing to something, you still have the original amount! Think of it like having 500 cookies and adding 0 more cookies - you still have 500 cookies.

Q: Is this the same as 500 + 0?

Yes! Addition is commutative, which means the order doesn't matter. Both $ 0 + 500 $ and $ 500 + 0 $ equal 500.

Q: What if I had a bigger number instead of 500?

The identity property works with any number! Whether it's $ 0 + 1000 $ or $ 0 + 25 $, adding zero always gives you the original number back.

Q: Does this work with negative numbers too?

Absolutely! $ 0 + (-15) = -15 $ and $ 0 + (-200) = -200 $. The identity property works for positive numbers, negative numbers, and even decimals!

Q: How is this different from multiplying by zero?

Very different! When you multiply by zero, you get zero as the answer. But when you add zero, you keep the original number. So $ 500 \times 0 = 0 $ but $ 500 + 0 = 500 $.

Addition Identity Property with Zero

$0+500=$

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Step-by-step video solution

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00:00 Solve

00:04 Any number plus 0 equals the number itself

00:09 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0+500=$

Step-by-step solution

To solve the problem of $0 + 500$ , we simply apply the identity property of addition, which states that adding zero to any number does not change the value of that number.

Let's follow these steps:

Step 1: Identify the numbers involved: 0 and 500.
Step 2: Add these two numbers together.

Now, when we add 0 to 500, according to the identity property, the sum will be:

$0 + 500 = 500$

Thus, the solution to the problem is 500.

Final Answer

500

Key Points to Remember

Essential concepts to master this topic

Identity Property: Adding zero to any number leaves the number unchanged
Technique: When you see 0 + any number, the answer is just that number
Check: Verify that 0 + 500 = 500 by counting or mental math ✓

Common Mistakes

Avoid these frequent errors

Thinking zero changes the other number
Don't assume that adding zero makes the number bigger or smaller = wrong answer like 5000 or 50! Zero has no value to add or subtract. Always remember that zero is the additive identity - it never changes another number.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't adding zero change the number?

Zero means nothing or no amount. When you add nothing to something, you still have the original amount! Think of it like having 500 cookies and adding 0 more cookies - you still have 500 cookies.

Is this the same as 500 + 0?

Yes! Addition is commutative, which means the order doesn't matter. Both $0 + 500$ and $500 + 0$ equal 500.

What if I had a bigger number instead of 500?

The identity property works with any number! Whether it's $0 + 1000$ or $0 + 25$ , adding zero always gives you the original number back.

Does this work with negative numbers too?

Absolutely! $0 + (-15) = -15$ and $0 + (-200) = -200$ . The identity property works for positive numbers, negative numbers, and even decimals!

How is this different from multiplying by zero?

Very different! When you multiply by zero, you get zero as the answer. But when you add zero, you keep the original number. So $500 \times 0 = 0$ but $500 + 0 = 500$ .

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