Subtracting 1000 from 5254: What Number Remains?

Place Value Subtraction with Thousand Units

The number 5254 is represented below:

What number are we left with if we subtract a thousand units?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The number 5254 is represented below:

What number are we left with if we subtract a thousand units?

2

Step-by-step solution

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

  • Step 1: Identify the given information
  • Step 2: Perform the subtraction
  • Step 3: Verify the result

Now, let's work through each step:

Step 1: The given number is 5,254 5,254 , and we need to subtract 1,000 1,000 from it.

Step 2: Subtract the hundreds digit by reducing the thousands place by 1. Hence, 5,2541,000 5,254 - 1,000 .
Performing the subtraction directly, 5,2541,000=4,254 5,254 - 1,000 = 4,254 .

Step 3: We compare our result 4,254 4,254 with the answer choices provided.
Our calculated result matches with choice 4.

Therefore, the solution to the problem is 4254 4254 .

3

Final Answer

4254 4254

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Subtracting 1000 only affects the thousands digit
  • Direct Method: 5254 - 1000 = 4254 by reducing thousands place
  • Verification: Count remaining blocks: 4 thousands + 254 ones = 4254 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting from the wrong place value
    Don't subtract 1 from each digit (5254 becomes 4143) = completely wrong answer! This ignores place value entirely. Always subtract from the correct place value position - 1000 only affects the thousands place.

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 subtracting 1000 change the other digits?

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Because 1000 = 1 × 1000 + 0 × 100 + 0 × 10 + 0 × 1. Since there are zeros in the hundreds, tens, and ones places, only the thousands digit changes!

How can I visualize this with the blocks shown?

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The diagram shows 5 large squares (thousands) and smaller units. Removing 1 thousand block leaves 4 large squares plus all the original smaller pieces (254).

What if I need to subtract a bigger number like 2000?

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Same principle! 5254 - 2000 = 3254 because you're removing 2 from the thousands place. The hundreds, tens, and ones stay the same.

How do I check my answer is correct?

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Add your answer back to what you subtracted: 4254 + 1000 = 5254. If you get the original number, you're right!

What if the problem said 'subtract one thousand' instead of 1000?

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It's exactly the same! 'One thousand' = 1000. Whether written in words or numbers, the subtraction process is identical.

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