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Decompose a hundred into tens

A hundred can be decomposed into ten equal groups of ten: 1 hundred = 10 tens = 100 ones. This connects the hundreds, tens, and ones places in the base-ten system and supports regrouping when adding or subtracting; it does not require decomposing into unequal groups or extending the idea to larger units or more general place-value abstractions.

Detailed Explanation: Decompose a hundred into tens

A hundred can be broken into 10 equal groups of 10.

So:

1 hundred=10 tens=100 ones1\text{ hundred}=10\text{ tens}=100\text{ ones}

Example: Decompose 1 hundred into tens.

  1. Start with 11 hundred.
  2. Break the hundred into groups of (10)(10).
  3. You get (10)(10) groups of (10)(10).
1 hundred=10 tens1\text{ hundred}=10\text{ tens}

Therefore, 1 hundred is the same as 10 tens.

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Base 10 Blocks - Decompose and Compare - Hundreds to Tens


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