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Grade 5 · Measurement

Solar-project planning: connect decimal kilograms with grams

A measurement for a model solar-energy project consists of 0 whole kilograms and 75 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
Solar-project planning: connect decimal kilograms with grams. Larger units still bundled: 0. Smaller units represented now: 75. Final smaller-unit total: 750 × 1000 + 75 = 75No whole kg to exchangeExtra: 75 g · Same total: 75 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
0
Smaller units represented now
75
Final smaller-unit total
75

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 model solar-energy project consists of 0 whole kilograms and 75 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 75 grams, or 0.075 kilograms. Both names refer to the same measurement.

A relationship to keep

0 × 1000 + 75 = 75 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 model solar-energy project consists of 0 whole kilograms and 75 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 75 grams, or 0.075 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.

Solar-project planning: use the original situation. A measurement for a model solar-energy project consists of 0 whole kilograms and 75 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

75 grams: 0 from the whole kilograms, plus 75 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.