Solve the Addition: 3600 + 900 Step by Step

Q: Why do I need to line up the numbers by place value?

Place value alignment ensures you're adding the right digits together! Units with units, tens with tens, hundreds with hundreds. Without proper alignment, you'll get the wrong answer.

Q: What if I get confused with all the zeros?

Break it down step by step: $ 3600 $ has 6 hundreds and $ 900 $ has 9 hundreds. So 6 + 9 = 15 hundreds, which equals 1500. Add that to the remaining 3000 to get 4500!

Q: Is there a faster way to add these round numbers?

Yes! Think of it as 36 hundreds + 9 hundreds = 45 hundreds. Since 45 hundreds equals $ 45 \times 100 = 4500 $, you get the answer quickly!

Q: How can I check if my answer is right?

Use subtraction to check addition! If $ 3600 + 900 = 4500 $, then $ 4500 - 900 $ should equal $ 3600 $. Try it and see!

Basic Addition with Large Round Numbers

Solve the equation:

$3600+900=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the equation:

$3600+900=$

Step-by-step solution

To solve this problem, we will perform a simple addition:

Step 1: Identify the numbers to be added:
The numbers are $3600$ and $900$ .

Step 2: Align the numbers by their place value. Since they are both whole numbers, the alignment is straightforward:

$3600$
$+900$

Step 3: Add the numbers starting from the right:

$\begin{aligned} &3600 \\ +&\underline{\phantom0900} \\ &4500 \\ \end{aligned}$

Therefore, the sum of $3600 + 900$ is $4500$ .

Final Answer

$4500$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value for accurate addition
Technique: Add from right to left: 0+0=0, 00+00=00, 6+9=15
Check: Verify 4500 - 900 = 3600 to confirm correct sum ✓

Common Mistakes

Avoid these frequent errors

Adding digits in wrong order or misaligning place values
Don't add 3+9=12 and 6+0=6 separately = 1260! This ignores place values and gives a completely wrong answer. Always align numbers by place value and add column by column from right to left.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do I need to line up the numbers by place value?

Place value alignment ensures you're adding the right digits together! Units with units, tens with tens, hundreds with hundreds. Without proper alignment, you'll get the wrong answer.

What if I get confused with all the zeros?

Break it down step by step: $3600$ has 6 hundreds and $900$ has 9 hundreds. So 6 + 9 = 15 hundreds, which equals 1500. Add that to the remaining 3000 to get 4500!

Is there a faster way to add these round numbers?

Yes! Think of it as 36 hundreds + 9 hundreds = 45 hundreds. Since 45 hundreds equals $45 \times 100 = 4500$ , you get the answer quickly!

How can I check if my answer is right?

Use subtraction to check addition! If $3600 + 900 = 4500$ , then $4500 - 900$ should equal $3600$ . Try it and see!

What if I accidentally wrote 4600 instead of 4500?

This is a common error when adding the hundreds place! Remember: $6 + 9 = 15$ , so you write down 5 and carry the 1. That 1 gets added to the thousands place: $3 + 0 + 1 = 4$ .

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