Adding A Thousand Units to 3203: What’s the Result?

Place Value Addition with Thousands Units

The number is 3203 is shown below in units:

If we add a thousand units, then what number are we left with?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The number is 3203 is shown below in units:

If we add a thousand units, then what number are we left with?

2

Step-by-step solution

To solve this problem, we must add 1000 to the number 3203.

Let's break it down step-by-step:

  • Step 1: Identify the given number, which is 3203.
  • Step 2: Add 1000 to this number. This means the digit in the thousands place increases by 1 (since 1000 is equivalent to adding 1 to the thousands place).
  • Step 3: Perform the addition: 3203+1000=4203 3203 + 1000 = 4203 .

Thus, the number we are left with after adding a thousand units is 4203 4203 .

3

Final Answer

4203 4203

Key Points to Remember

Essential concepts to master this topic
  • Rule: Adding 1000 increases the thousands place digit by 1
  • Technique: 3203+1000=4203 3203 + 1000 = 4203 (3 becomes 4 in thousands place)
  • Check: Count total units: 4 thousands + 2 hundreds + 0 tens + 3 ones = 4203 ✓

Common Mistakes

Avoid these frequent errors
  • Adding 1000 to the wrong place value
    Don't add 1000 to the ones place making 3203 become 4203! This ignores place value completely. The 1000 means 1 in the thousands place, so 3 + 1 = 4 in thousands position only.

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 doesn't adding 1000 change the other digits?

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Because 1000 = 1 × 1000 + 0 × 100 + 0 × 10 + 0 × 1. Only the thousands place gets a +1, while hundreds, tens, and ones places get +0, so they stay the same!

How can I visualize adding 1000?

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Think of it as adding one complete thousands block to your number. The visual shows 3 thousands blocks, 2 hundreds blocks, and 3 ones. Adding 1000 means adding 1 more thousands block!

What if I need to add 2000 or 3000 instead?

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Same principle! 2000 means add 2 to the thousands place, and 3000 means add 3. So 3203+2000=5203 3203 + 2000 = 5203 and 3203+3000=6203 3203 + 3000 = 6203 .

Does the order matter when adding thousands?

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No! Addition is commutative, so 3203+1000=1000+3203=4203 3203 + 1000 = 1000 + 3203 = 4203 . You get the same answer either way.

How do I know I'm adding to the right place?

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Remember that 1000 has 4 digits: the 1 is in the thousands place, and three 0s follow. So 1000 only affects the thousands place in your answer!

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