Place Value with Base-10 Blocks: Removing Tens and Ones from 226

Place Value Operations with Base-10 Removal

If we have 226 blocks and we remove all of the tens and the ones, how many blocks will remain?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If we have 226 blocks and we remove all of the tens and the ones, how many blocks will remain?

2

Step-by-step solution

To solve the problem, we need to perform the following steps:

  • Step 1: Identify the value of the tens and the ones in the number 226.
  • Step 2: Calculate the sum of the tens and ones places.
  • Step 3: Subtract this sum from the total number of blocks given.

Step 1: In the number 226, the digit in the tens place is 2, which means there are 20 (2 tens), and the digit in the ones place is 6.
Step 2: The sum of the tens and ones is 20+6=2620 + 6 = 26.
Step 3: Subtract this sum from the total number of blocks: 22626226 - 26.

Therefore, the calculation is 22626=200226 - 26 = 200.

The number of remaining blocks is 200.

3

Final Answer

22626=200 226-26=200

Key Points to Remember

Essential concepts to master this topic
  • Place Value Understanding: Identify tens (20) and ones (6) in 226
  • Technique: Add place values: 20 + 6 = 26, then subtract
  • Check: Remaining blocks should equal hundreds: 200 has only 2 hundreds ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting only the digits instead of place values
    Don't subtract just the digits 2 and 6 from 226 = wrong answer! The tens place represents 20 (not 2) and ones place is 6. Always identify the actual place values: 20 + 6 = 26, then calculate 226 - 26 = 200.

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 is the tens place worth 20 and not just 2?

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In place value, each position represents a different power of 10. The digit 2 in the tens place means 2 groups of 10, which equals 20 blocks, not just 2 blocks.

What does 'removing tens and ones' actually mean?

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It means taking away all the blocks represented by the tens place (20 blocks) and the ones place (6 blocks). So we remove 20 + 6 = 26 blocks total from our 226 blocks.

Why do we get 200 as the answer?

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After removing the tens and ones, only the hundreds place remains. Since 226 has 2 in the hundreds place, we're left with 2 hundreds = 200 blocks.

How can I visualize this with base-10 blocks?

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Think of 226 as 2 hundred-squares + 2 ten-rods + 6 unit-cubes. Remove the 2 ten-rods and 6 unit-cubes, and you're left with just the 2 hundred-squares = 200.

Is there a faster way to solve this?

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Yes! Since we're removing tens and ones, we can think: what's left is just the hundreds. In 226, that's 200. But always double-check: 226 - 26 = 200 ✓

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