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

Add fifty units to the number 31.

What is the resulting number?

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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