Solve the Addition Problem: 10 + 0 = ?

Q: What's the zero property of addition?

The additive identity property says that adding zero to any number gives you the same number back. So $ a + 0 = a $ for any number a.

Q: Does it matter if zero comes first or second?

Not at all! Addition is commutative, which means $ 10 + 0 = 0 + 10 = 10 $. The order doesn't change the result.

Q: How is this different from 10 × 0?

Completely different! $ 10 \times 0 = 0 $ because multiplying by zero always gives zero. But $ 10 + 0 = 10 $ because adding zero doesn't change anything.

Q: Will this work with negative numbers too?

Yes! The identity property works with all numbers. For example: $ -5 + 0 = -5 $ and $ 3.7 + 0 = 3.7 $.

Addition Properties with Identity Element

$10+0=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together.

00:07 Remember, any number plus zero gives you the same number.

00:13 And that's how we find the solution! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$10+0=$

Step-by-step solution

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

Step 1: Identify the numbers in the problem.
Step 2: Apply the property of zero in addition.
Step 3: Perform the calculation and conclude.

Now, let's work through each step:

Step 1: The problem asks us to add the numbers 10 and 0.

Step 2: We apply the property of zero in addition, which states that adding zero to any number does not change that number's value. Mathematically, this is shown as $a + 0 = a$ .

Step 3: Applying the property to our numbers, we calculate $10 + 0 = 10$ .

Therefore, the solution to the problem is 10.

According to the choices provided, the correct choice is choice 2: 10.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Adding zero to any number equals that same number
Technique: Apply $a + 0 = a$ so 10 + 0 = 10
Check: Verify 10 + 0 gives 10, not 0 or other values ✓

Common Mistakes

Avoid these frequent errors

Confusing addition with multiplication properties
Don't think 10 + 0 = 0 like multiplication where 10 × 0 = 0! Addition and multiplication have different zero properties. Always remember: adding zero keeps the original number, multiplying by zero makes everything zero.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't 10 + 0 equal 0?

Because addition and multiplication work differently with zero! In multiplication, anything times 0 equals 0. But in addition, zero doesn't change the other number at all.

What's the zero property of addition?

The additive identity property says that adding zero to any number gives you the same number back. So $a + 0 = a$ for any number a.

Does it matter if zero comes first or second?

Not at all! Addition is commutative, which means $10 + 0 = 0 + 10 = 10$ . The order doesn't change the result.

How is this different from 10 × 0?

Completely different! $10 \times 0 = 0$ because multiplying by zero always gives zero. But $10 + 0 = 10$ because adding zero doesn't change anything.

Will this work with negative numbers too?

Yes! The identity property works with all numbers. For example: $-5 + 0 = -5$ and $3.7 + 0 = 3.7$ .

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