Remove Hundreds and Ones from 545: Place Value Exercise

Place Value Subtraction with Block Representations

If in total we have 545 blocks,

and we only remove the hundreds and ones, write down the resulting exercise:

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If in total we have 545 blocks,

and we only remove the hundreds and ones, write down the resulting exercise:

2

Step-by-step solution

To solve this problem, we'll be removing the hundreds and ones digits from the total 545 blocks and writing the resulting subtraction exercise.

  • Step 1: Identify hundreds and ones contributions.
    Hundreds digit is 5, so hundred contribution = 5×100=5005 \times 100 = 500.
    Ones digit is 5, so one contribution = 5×1=55 \times 1 = 5.
  • Step 2: Sum the contributions from hundreds and ones.
    Total contribution to remove = 500+5=505500 + 5 = 505.
  • Step 3: Subtract the total contribution from the original total.
    Subtraction exercise = 545505545 - 505.
  • Step 4: Calculate the result of the subtraction.
    Final result = 4040.

Therefore, the solution to the problem is 545505=40 545 - 505 = 40 .

3

Final Answer

545505=40 545-505=40

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit represents its position value times coefficient
  • Technique: Hundreds = 5×100 = 500, Ones = 5×1 = 5
  • Check: Verify 545 - 505 = 40 by adding back: 40 + 505 = 545 ✓

Common Mistakes

Avoid these frequent errors
  • Removing individual digits instead of their place values
    Don't subtract just the digits 5 and 5 from 545 = wrong answer 45! This ignores place value completely. Always calculate the actual value: hundreds digit 5 = 500, ones digit 5 = 5, so remove 500 + 5 = 505.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why can't I just remove the digits 5 and 5 from 545?

+

Because digits have different values depending on their position! The first 5 represents 500 (5 hundreds), while the last 5 represents just 5 (5 ones). You must consider place value when working with multi-digit numbers.

What does 'remove hundreds and ones' actually mean?

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It means remove the value contributed by those place positions. In 545: hundreds place contributes 500, tens place contributes 40, ones place contributes 5. So removing hundreds and ones means subtracting 500 + 5 = 505.

How do I know which blocks represent hundreds, tens, and ones?

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Look at the visual representation: Large squares = hundreds, rectangular strips = tens, small squares = ones. Count each type separately to understand the place value breakdown.

Why is the answer 40 instead of something else?

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After removing 500 (hundreds) and 5 (ones) from 545, only the tens place value remains. Since 545 has 4 in the tens place, 4 × 10 = 40 is what's left.

How can I check if my subtraction is correct?

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Use addition to verify: Add your answer back to what you removed. If 40 + 505 = 545, then your subtraction 545505=40 545 - 505 = 40 is correct!

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