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Grade 5 · Measurement

River-study stations: connect decimal kilograms with grams

A measurement for a river study consists of 4 whole kilograms and 407 extra grams. 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
River-study stations: connect decimal kilograms with grams. Larger units still bundled: 4. Smaller units represented now: 407. Final smaller-unit total: 4,4074 × 1000 + 407 = 44071 kg1 kg1 kg1 kgExtra: 407 g · Same total: 4407 g1 kilogram = 1,000 grams exactly.
The exact metric relation is 1 kilogram = 1000 grams. Extra units are less than one full larger unit. The diagram is a conversion model, not a life-size ruler or balance.

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.

Larger units still bundled
4
Smaller units represented now
407
Final smaller-unit total
4,407

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 measurement for a river study consists of 4 whole kilograms and 407 extra grams. One of the larger units contains 1000 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical. The total is 4407 grams, or 4.407 kilograms. Both names refer to the same measurement.

A relationship to keep

4 × 1000 + 407 = 4407 grams

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

    A measurement for a river study consists of 4 whole kilograms and 407 extra grams. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Follow the conversion from the larger-unit part to its smaller-unit equivalent, then combine the extra smaller units. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The total is 4407 grams, or 4.407 kilograms. Both names refer to the same measurement. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

River-study stations: use the original situation. A measurement for a river study consists of 4 whole kilograms and 407 extra grams. What is the measurement entirely in grams?

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

Compare your explanation

4407 grams: 4000 from the whole kilograms, plus 407 extra.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 5 · Geometry

Convert a decimal mass to grams

Apply metric conversion to decimal quantities.