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Grade 2 · Place value

Game-club cards: read hundreds tens and ones

An inventory at a board-game club records 1 hundreds, 0 tens, and 0 ones of cards. Change the controls and explain what the animation reveals.

Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.

Watch the relationship

Paused
Game-club cards: read hundreds tens and ones. Hundreds contribution: 100. Tens contribution: 0. Number: 100100 + 0 + 0 = 100Hundreds1value 100Tens0value 0Ones0value 0Place names determine the value of each digit.
The quantities are invented for this investigation. Controls change the model rather than real-world records. Displayed decimals are rounded; whole-number counts are exact.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Hundreds contribution
100
Tens contribution
0
Number
100

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

Understand what you are seeing

The idea behind the motion.

An inventory at a board-game club records 1 hundreds, 0 tens, and 0 ones of cards. The same written digit has a different value in each place. A zero contributes no units in its place but preserves the positions of the other digits. The inventory is 100. Its expanded parts are 100, 0, and 0.

A relationship to keep

1 × 100 + 0 × 10 + 0 = 100

Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.

  1. STEP 1

    Read the starting situation

    An inventory at a board-game club records 1 hundreds, 0 tens, and 0 ones of cards. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Reveal hundreds, tens, and ones in order. Add their values rather than adding the three digit symbols as if they were all ones. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The inventory is 100. Its expanded parts are 100, 0, and 0. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Game-club cards: use the original situation. An inventory at a board-game club records 1 hundreds, 0 tens, and 0 ones of cards. What number results when one additional ten-pack is added?

Use the values specified in the question. Reset restores the initial values for this investigation.

Compare your explanation

110. Adding ten increases the total by 10, even if a new hundred must be regrouped.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 2 · Algebra

Write a number in expanded form

Explain zero as a placeholder in a three-digit number.