Remove Hundreds from 325: Base-10 Blocks Decomposition Exercise

Place Value Subtraction with Hundreds Blocks

If in total we have 325 blocks,

and we only remove the hundreds,

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 325 blocks,

and we only remove the hundreds,

write down the resulting exercise:

2

Step-by-step solution

To solve the problem of removing the hundreds from 325, follow these steps:

  • Step 1: Identify the hundreds digit in the number 325. The hundreds digit is 3.
  • Step 2: Convert the hundreds digit into a full hundred by multiplying it by 100: 3×100=300 3 \times 100 = 300 .
  • Step 3: Subtract this total from the original number: 325300 325 - 300 .
  • Step 4: Calculate the result of this subtraction: 325300=25 325 - 300 = 25 .

Therefore, the resulting exercise is 325300=25 325 - 300 = 25 , and the final numerical answer is 25.

Among the given choices, the correct choice is:

325300=25 325-300=25

3

Final Answer

325300=25 325-300=25

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Identify hundreds digit and multiply by 100
  • Technique: Convert 3 hundreds to 300, then subtract: 325300=25 325 - 300 = 25
  • Check: Remaining blocks should show only tens and ones: 25 = 2 tens + 5 ones ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting only the hundreds digit instead of the full hundreds value
    Don't subtract just 3 from 325 = 322! This removes only the digit, not the actual hundreds blocks. The hundreds digit 3 represents 300 blocks total. Always multiply the hundreds digit by 100 first, then subtract that full value.

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 do I multiply the hundreds digit by 100?

+

The hundreds digit represents groups of 100 blocks. In 325, the digit 3 means 3 groups of 100 blocks, which equals 3×100=300 3 \times 100 = 300 total blocks in the hundreds place.

What happens to the remaining digits after removing hundreds?

+

After removing the hundreds, you're left with just the tens and ones. In 325, removing 300 leaves you with 25, which is 2 tens and 5 ones.

How can I visualize this with the base-10 blocks?

+

Think of it this way: the large squares are hundreds blocks, the strips are tens, and individual squares are ones. Removing hundreds means taking away all the large square blocks!

Is this the same as just crossing out the hundreds digit?

+

No! Crossing out the digit doesn't show the actual subtraction. You need to write the complete equation: 325300=25 325 - 300 = 25 to show the mathematical operation.

What if the number has no hundreds?

+

If a number like 87 has no hundreds digit (or the hundreds digit is 0), then there are no hundreds to remove. The result would be 870=87 87 - 0 = 87 .

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