Place Value Operation: Decreasing the Hundreds Digit in 637 by 4

Place Value Operations with Hundreds Digit Manipulation

Given the number 637

Let's decrease its hundreds digit by 4

What number did we get?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the number 637

Let's decrease its hundreds digit by 4

What number did we get?

2

Step-by-step solution

To address the problem, we'll proceed through logical steps to alter the specified digit:

  • Step 1: Identify the original number as 637. Decompose it to focus on the hundreds digit, which is 6.
  • Step 2: Decrease this hundreds digit by 4. Thus, calculate 64=26 - 4 = 2.
  • Step 3: Reconstruct the number with the new hundreds digit:

The original number is structured as 6 in hundreds, 3 in tens, and 7 in units. Modifying the hundreds digit from 6 to 2 yields the number 237.

Assessing against the provided choices, we determine that the correct result is 237 237 .


In conclusion, the altered number is 237 237 .

3

Final Answer

237 237

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Hundreds digit affects the entire hundreds column value
  • Technique: Subtract from digit only: 6 - 4 = 2, keep other digits unchanged
  • Check: Verify hundreds place changed from 600 to 200 in final number ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting from the entire number instead of just the hundreds digit
    Don't subtract 4 from 637 to get 633! This changes the wrong place value and ignores the specific instruction. Always identify the target digit first, perform the operation on that digit only, then reconstruct the number.

Practice Quiz

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FAQ

Everything you need to know about this question

How do I know which digit is the hundreds place?

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Count from right to left: the first digit is ones, second is tens, third is hundreds. In 637, the hundreds digit is 6 because it's in the third position from the right.

What if subtracting makes the digit negative?

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If you need to subtract a larger number from a smaller digit, you might need to borrow from the next place value, just like in regular subtraction. But in this problem, 6 - 4 = 2 works fine!

Do I change the other digits when I change the hundreds digit?

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No! Only change the specific digit mentioned. The tens digit (3) and ones digit (7) stay exactly the same, giving us 237.

How can I double-check my answer?

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Break down both numbers by place value: 637 = 600 + 30 + 7, and your answer should be 200 + 30 + 7 = 237. The hundreds place should differ by exactly 400 (since 4 × 100 = 400).

What's the difference between this and regular subtraction?

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Regular subtraction changes the entire number (637 - 4 = 633). Place value operations change only the specific digit in its position, keeping other digits the same.

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