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Written multiplication

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

You multiply digit by digit and add the rows at the end. You learn the method with one digit and with two digits and a trick for zeros at the end.
📄 Open worksheet (PDF, German)

The video

In the video you first multiply by one digit. With two digits there are two rows that are added at the end.

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

Contents of the video

  1. 0:00 Introduction
  2. 0:12 One digit
  3. 0:38 Two digits
  4. 1:46 Zeros at the end
  5. 2:04 Careful, mistake!
  6. 2:32 Try it yourself

The most important points

Times one digit

Multiply each digit by the number, from right to left, and add the carry. \(253 \cdot 4\): \(4 \cdot 3 = 12\) (write 2, remember 1), \(4 \cdot 5 + 1 = 21\), \(4 \cdot 2 + 2 = 10\). The result is \(1\,012\).

253 · 4 with carries.
\(253 \cdot 4\) with carries.

Times two digits

\(243 \cdot 17\): first times \(1\) (these are tens, the row starts one place further left): \(243\). Then times \(7\): \(1\,701\). Add both rows: \(4\,131\). Estimate: \(200 \cdot 20 = 4\,000\).

Both rows are added.
Both rows are added.

Zeros at the end: calculate without the zeros and put them back at the end. \(340 \cdot 25\): \(34 \cdot 25 = 850\), so \(8\,500\). Careful: the tens row must move one place to the left. Otherwise you get \(1\,944\).

The mistake: the row is not moved.
The mistake: the row is not moved.

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
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Show the worksheet solutions
The worksheet – Page 4
Page 4/4

Try it yourself

Task

Calculate in writing: a) \(346 \cdot 5\) b) \(57 \cdot 34\)

Show solution

a) \(1\,730\) b) \(1\,938\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: schriftlich multiplizieren (eine und zwei Ziffern, Zeile verschieben, 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.