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Compose numbers from place-value parts

A number is composed by combining its place-value units: hundreds, tens, and ones, so 347347 represents 3 hundreds, 4 tens, and 7 ones; a zero in a place indicates that no unit of that value is present. The understanding includes equivalent regroupings such as 1 hundred equaling 10 tens and supports reading numbers in standard, expanded, and place-value form for whole numbers through 1,000, without extending to larger-number systems or generalized notation.

Detailed Explanation: Compose numbers from place-value parts

To compose a number, combine its place-value parts:

  • Each hundred is worth 100100.
  • Each ten is worth 1010.
  • Each one is worth 11.

Example: Compose a number with 5 hundreds, 2 tens, and 0 ones.

  1. Find the value of each part:

    • 5 hundreds: 5×100=5005 \times 100 = 500
    • 2 tens: 2×10=202 \times 10 = 20
    • 0 ones: 0×1=00 \times 1 = 0
  2. Add the parts:

500+20+0=520500+20+0=520
  1. Write the number in different forms:
    • Standard form: 520520
    • Expanded form: 500+20+0500+20+0
    • Place-value form: 5 hundreds, 2 tens, and 0 ones

The zero shows that there are no ones. Therefore, 5 hundreds, 2 tens, and 0 ones compose the number 520\boxed{520}.

Learn by doing: Compose numbers from place-value parts

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Base 10 Blocks - Adding - Picture to Answer, With Carry - Hundreds and Tens


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