Math With AmarA C A D E M Y
All math animations

Primary · Place value

Trade ten ones for one ten

Move ten individual units into a new bundle without changing the value of the collection.

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

Watch the relationship

Paused
Trade ten ones for one ten. Tens recorded: 3. Ones recorded: 14. Total value: 4430 + 14 = 44TensLoose ones3 tens + 14 onesMove ten ones into one new ten.
This is a base-ten whole-number model. The controls allow at most one exchange of ten ones. A moving dot is still one unit, and the exchange is recorded only when the new bundle is complete.

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.

Tens recorded
3
Ones recorded
14
Total value
44

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.

A ten is a group of ten ones. Regrouping changes how we describe a quantity, not the quantity itself. Twelve loose ones can become one ten and two ones, so five tens and twelve ones is another representation of sixty-two.

A relationship to keep

10t + u = 10(t + 1) + (u − 10), when u ≥ 10

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

  1. STEP 1

    Read the starting units

    Each tall outlined bundle contains ten dots. The separate dots on the right are loose ones. Add ten for every bundle and one for every loose dot.

  2. STEP 2

    Move a complete group

    When at least ten ones are available, move the timeline to bring exactly ten of them into the next bundle. Every dot stays in the collection during the move.

  3. STEP 3

    Rename the same value

    At the end, the ten moved dots become one new ten. Fewer than ten ones remain. With fewer than ten starting ones, no complete ten can be exchanged.

Your turn to explain

Make a prediction. Test your reasoning.

What is the usual tens-and-ones form of four tens and seventeen ones?

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

Compare your explanation

5 tens and 7 ones: 40 + 17 = 50 + 7 = 57.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 1 · Algebra

Teen numbers are ten and ones

Build a teen number from one ten and extra ones.

Foundations · Algebra

Count a supply room without counting every pencil

Use base-ten groups to read, regroup, and check a large inventory count.