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Written addition

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

You add big numbers column by column, from right to left. You learn the carry (der Übertrag), the estimate (der Überschlag) and a common mistake.
📄 Open worksheet (PDF, German)

The video

In the video the numbers stand in columns, units under units (stellengerecht). The carries are written small under the line.

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

Contents of the video

  1. 0:00 Introduction
  2. 0:16 Place values
  3. 0:41 Carry
  4. 1:11 Estimate
  5. 1:29 Several numbers
  6. 2:09 Careful, mistake!
  7. 2:33 Try it yourself

The most important points

Units under units

Units under units, tens under tens, hundreds under hundreds. Start on the right: \(345 + 123 = 468\), because \(5 + 3 = 8\), \(4 + 2 = 6\) and \(3 + 1 = 4\).

The numbers stand in columns, units under units.
The numbers stand in columns, units under units.

Carry

If the sum of a column is greater than 9, you write the units digit and remember the carry. Example \(478 + 256\): \(8 + 6 = 14\) (write 4, remember 1), \(7 + 5 + 1 = 13\) (write 3, remember 1), \(4 + 2 + 1 = 7\). The result is \(734\).

478 + 256 with two carries.
\(478 + 256\) with two carries.

Estimate: \(478 \approx 480\) and \(256 \approx 260\), so \(480 + 260 = 740\). That fits \(734\). Careful: the numbers must stand in columns. Otherwise \(345 + 12\) goes wrong (the right result is \(357\)).

Adding three numbers: 1\,250 + 387 + 4\,063 = 5\,700.
Adding three numbers: \(1\,250 + 387 + 4\,063 = 5\,700\).

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
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Try it yourself

Task

Calculate in writing: a) \(536 + 287\) b) \(1\,799 + 2\,548\)

Show solution

a) \(823\) b) \(4\,347\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: schriftlich addieren (stellengerecht, Übertrag, Überschlag). 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.