Counters

Two-colour counters and zero pairs: show integers and step through adding, subtracting, multiplying and dividing them.

Open the app

Free, runs in the browser, no sign-in or installation.

Subject
Mathematics
Area
Numbers
Level
Primary school
3 + (−5) with counters: three zero pairs of a red and a blue counter, and two blue counters

What you can do

  • In Free mode, add positive (+1) and negative (−1) counters or zero pairs, then flip, move or delete them by tapping and dragging.
  • Arrange the counters in pairs and remove zero pairs; the app shows the number of positive and negative counters and the value.
  • In Operations mode, enter two integers, choose an operation and step through with explanations, or play all the steps in order.
  • The steps follow the zero-pair model: when there is nothing to remove, zero pairs are added, and division counts sets.
  • Download the view as a PNG with a white or transparent background, and hide the + and − signs on the counters if you like. Choose the counter colours in the settings: red and blue, or yellow and red.

Pictures in the Gallery3

Ready-made pictures made in this app, to download as PNG.

Worksheets and lessons

Lessons with worksheets that use this app.

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