Place Value Builder

Choose a mode

Add boxes to each place with the − / + buttons (hundreds, tens, ones), or drag upward over a column to add. When a column reaches 10, ten small boxes bundle into one bigger box. Press Check to grade

3D math game · Best for grades 2-4

Place Value Builder

Place Value Builder sets students in a warehouse where they stack physical blocks into hundreds, tens, and ones columns to construct a target number. When any column reaches ten blocks, they automatically bundle into one larger unit — making the base-ten trading rule an observable event rather than a memorised procedure.

What students practice

Place Value Builder develops the understanding that each digit's position determines its value: a 3 in the hundreds column is worth 300, not 3. Students practise composing multi-digit numbers from their constituent parts and see regrouping as a natural consequence of the base-ten system.

  1. Read the target number shown above the warehouse columns.
  2. Use −/+ or drag upward on each column to add hundreds, tens, or ones blocks.
  3. Watch ten ones bundle into a ten-rod and ten rods bundle into a hundred-flat automatically.
  4. When all three columns match the digits of the target number, press Check.

How to use it at home or in class

To build 234: add 2 hundreds-flats, 3 ten-rods, and 4 ones-cubes. The warehouse shows 200+30+4 stacked separately, then Check confirms the combined value is 234.

Students often enter the digit, not the value — placing 2 ones when asked for 234 because the digit '4' is the one they see last. The warehouse's colour-coded columns (blue for hundreds, yellow for tens, red for ones) train them to read each digit in its correct column before placing blocks.

Use it for individual practice, paired work, or a short class demonstration before worksheets.

Start with the game above, then continue with written practice to reinforce the skill.

Common questions

How does Place Value Builder differ from Exploding Dots?
Exploding Dots focuses on the moment of regrouping — ten dots exploding into one in the next column — to make carrying visceral. Place Value Builder focuses on building a static number correctly from its digits; regrouping is a side-effect, not the main event.
Which grades is Place Value Builder for?
Grades 2–4, spanning two-digit numbers in grade 2 through three-digit numbers and early four-digit numbers in grades 3 and 4.
Can the same number be built in more than one way?
No. The target is a specific digit decomposition (e.g. 2 hundreds, 3 tens, 4 ones for 234). Students must match the standard form, training canonical place-value representation.