Solve the Addition: 3600 + 900 Step by Step

Basic Addition with Large Round Numbers

Solve the equation:

3600+900= 3600+900=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the equation:

3600+900= 3600+900=

2

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 3600 and 900 900 .

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

  • 3600 3600

  • +900 +900

Step 3: Add the numbers starting from the right:

3600+09004500 \begin{aligned} &3600 \\ +&\underline{\phantom0900} \\ &4500 \\ \end{aligned}

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

3

Final Answer

4500 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

Solve the exercise using the structure table below:


\( 5896+1256= \)

OnesTensHundredsThousandsBeforeConversionAfterConversion

FAQ

Everything you need to know about this question

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

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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?

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Break it down step by step: 3600 3600 has 6 hundreds and 900 900 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?

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

How can I check if my answer is right?

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Use subtraction to check addition! If 3600+900=4500 3600 + 900 = 4500 , then 4500900 4500 - 900 should equal 3600 3600 . Try it and see!

What if I accidentally wrote 4600 instead of 4500?

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

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