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Converting mass

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

An apple weighs \(200\text{ g}\), a person \(70\text{ kg}\), a car \(1\text{ t}\). For mass the conversion number is always 1000.
📄 Open worksheet (PDF, German)

The video

In the video you see a scale (die Waage) and the unit staircase t – kg – g – mg.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:17 Units of mass
  3. 0:34 The staircase
  4. 0:47 Converting
  5. 1:09 Careful, mistake!
  6. 1:22 Try it yourself

The most important points

Units of mass

\(1\text{ t} = 1000\text{ kg}\), \(1\text{ kg} = 1000\text{ g}\), \(1\text{ g} = 1000\text{ mg}\). The conversion number is always \(1000 = 10^3\).

Tonne, kilogram, gram and milligram.
Tonne, kilogram, gram and milligram.

The staircase

To the right: \(\cdot\,1000\). To the left: \(:\,1000\).

The unit staircase for mass.
The unit staircase for mass.

Examples: \(3\text{ kg} = 3000\text{ g}\) and \(450\text{ g} = 0{,}45\text{ kg}\). Careful: \(1\text{ kg} = 1000\text{ g}\), not 100 g.

Three kilograms in grams and 450 grams in kilograms.
Three kilograms in grams and 450 grams in kilograms.

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
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The worksheet – Page 2
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The worksheet – Page 3
Page 3/4
Show the worksheet solutions
The worksheet – Page 4
Page 4/4

Try it yourself

Task

Convert: a) \(2\text{ t}\) to kg b) \(5000\text{ g}\) to kg c) \(3\text{ g}\) to mg

Show solution

a) \(2000\text{ kg}\) b) \(5\text{ kg}\) c) \(3000\text{ mg}\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: Masse umrechnen (t, kg, g, mg, Umrechnungszahl 1000). Stelle mir nacheinander fünf kurze Aufgaben. Warte immer auf meine Antwort. Sag mir dann, ob sie richtig ist, und erkläre kurz, warum. Benutze einfache deutsche Sätze.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.