Skill: Compose numbers from place-value parts

Explanation and Free Practice Resources

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

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Base 10 Blocks - Counting - Picture to Number - Thousands, Hundreds, Tens, and Ones


    ?

    Download/Modify Free Grade 3 'Compose numbers from place-value parts' Worksheet

    Print this free 'Compose numbers from place-value parts' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Compose numbers from place-value parts) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 3 Math